<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-14-695-2021</article-id><title-group><article-title>New in situ aerosol hyperspectral optical measurements over 300–700 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> – Part 1: Spectral Aerosol Extinction (SpEx)<?xmltex \hack{\break}?> instrument field validation during the KORUS-OC cruise</article-title><alt-title>SpEx field validation during KORUS-OC</alt-title>
      </title-group><?xmltex \runningtitle{SpEx field validation during KORUS-OC}?><?xmltex \runningauthor{C.~E.~Jordan~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Jordan</surname><given-names>Carolyn E.</given-names></name>
          <email>carolyn.jordan@nasa.gov</email>
        <ext-link>https://orcid.org/0000-0001-8164-5967</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Stauffer</surname><given-names>Ryan M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8583-7795</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lamb</surname><given-names>Brian T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7957-5488</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hudgins</surname><given-names>Charles H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Thornhill</surname><given-names>Kenneth L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schuster</surname><given-names>Gregory L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Moore</surname><given-names>Richard H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2911-4469</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Crosbie</surname><given-names>Ewan C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Winstead</surname><given-names>Edward L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Anderson</surname><given-names>Bruce E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Martin</surname><given-names>Robert F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Shook</surname><given-names>Michael A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ziemba</surname><given-names>Luke D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Beyersdorf</surname><given-names>Andreas J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4496-2557</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Robinson</surname><given-names>Claire E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff7">
          <name><surname>Corr</surname><given-names>Chelsea A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Tzortziou</surname><given-names>Maria A.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>National Institute of Aerospace, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>NASA Langley Research Center, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>NASA Goddard Space Flight Center, Greenbelt, Maryland, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Earth and Atmospheric Sciences, City University, City University of New York, New York, New York, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Science Systems and Applications Inc., Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Chemistry and Biochemistry, California State University, San Bernardino, San Bernardino, California, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Springfield College, Springfield, Massachusetts, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Carolyn E. Jordan (carolyn.jordan@nasa.gov)</corresp></author-notes><pub-date><day>29</day><month>January</month><year>2021</year></pub-date>
      
      <volume>14</volume>
      <issue>1</issue>
      <fpage>695</fpage><lpage>713</lpage>
      <history>
        <date date-type="received"><day>7</day><month>August</month><year>2020</year></date>
           <date date-type="accepted"><day>30</day><month>November</month><year>2020</year></date>
           <date date-type="rev-recd"><day>20</day><month>November</month><year>2020</year></date>
           <date date-type="rev-request"><day>19</day><month>August</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/.html">This article is available from https://amt.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <?pagebreak page696?><p id="d1e278">In situ observations of spectrally resolved aerosol extinction coefficients (300–700 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M3" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.8 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> resolution) from the
May–June 2016 Korea–United States Ocean Color (KORUS-OC) oceanographic field campaign are reported. Measurements were made with the custom-built Spectral
Aerosol Extinction (SpEx) instrument that previously has been characterized only using laboratory-generated aerosols of known size and
composition. Here, the performance of SpEx under realistic operating conditions in the field was assessed by comparison to extinction coefficients
derived from commercial instruments that measured scattering and filter-based absorption coefficients at three discrete visible wavelengths. Good
agreement was found between these two sets of extinction coefficients with slopes near unity for all three wavelengths within the SpEx measurement error
(<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The meteorological conditions encountered during the cruise fostered diverse ambient aerosol populations with varying
sizes and composition at concentrations spanning 2 orders of magnitude. The sampling inlet had a 50 % size cut of 1.3 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter
particles such that the in situ aerosol sampling suite deployed aboard ship measured fine-mode aerosols only. The extensive hyperspectral extinction
data set acquired revealed that nearly all measured spectra exhibited curvature in logarithmic space, such that Ångström exponent (<inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>)
power law fits could lead to large errors compared to measured values. This problem was particularly acute for <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> values calculated over only
visible wavelengths and then extrapolated to the UV, highlighting the need for measurements in this wavelength range. Second-order polynomial fits to
the logarithmically transformed data provided a much better fit to the measured spectra than the linear fits of power laws. Building on previous
studies that used total column aerosol optical depth observations to examine the information content of spectral curvature, the relationship between <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and the second-order polynomial fit coefficients (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was found to depend on the wavelength range of the spectral measurement such that any given <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> maps into a line in (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) coefficient space with a slope of <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where
<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is defined as the single wavelength that characterizes the wavelength range of the measured spectrum (i.e., the
“characteristic wavelength”). Since the curvature coefficient values depend on <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, it must be taken into account when comparing
values from spectra obtained from measurement techniques with different <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Previously published work has shown that different
bimodal size distributions of aerosols can exhibit the same <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> yet have differing spectral curvature with different (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). This
implies that (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) contain more information about size distributions than <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> alone. Aerosol size distributions were not measured
during KORUS-OC, and the data reported here were limited to the fine fraction, but the (<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) maps obtained from the SpEx data set are
consistent with the expectation that (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) may contain more information than <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> – a result that will be explored further with
future SpEx and size distribution data sets.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e583">Significant natural variability in the size and composition of atmospheric aerosols introduces uncertainty into the representation of their optical
properties and radiative impacts in models and satellite retrievals. While numerous airborne and surface-based observations over past decades have
placed important constraints on these relationships, measurements have been typically limited to only one or a few wavelengths of light, which are
extrapolated across the ultraviolet (UV)–visible–infrared (IR) spectrum by assuming a power law relationship (e.g., the well-known Ångström
exponent). However, there is long-standing evidence that extinction and aerosol optical depth spectra in the ambient atmosphere exhibit curvature that
is not fully captured by a power law (e.g., King and Byrne, 1976; King et al., 1978; Kaufman, 1993; Reid et al., 1999; Eck et al., 1999, 2001a, b,
2003a, b; O'Neill et al., 2001; Schuster et al., 2006; Kaskaoutis et al., 2010, 2011; Rao and Niranjan, 2012). This wavelength dependence of the
aerosol extinction is thought to be driven primarily by the particle size distribution with only a minor contribution from the compositionally
dependent aerosol absorption (Eck et al., 2001b; Schuster et al., 2006). However, these relationships remain largely qualitative and stem from
columnar remote sensing measurements and Mie theory calculations. This motivates the incorporation of recently developed, advanced instruments for
measuring in situ, hyperspectral aerosol extinction into field campaigns that study the ambient atmosphere.</p>
      <p id="d1e586">It is important to note that the power law assumption is empirical. Used to describe the interaction between light and aerosols
(e.g., Ångström, 1989; Moosmüller and Chakrabarty, 2011),
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M31" display="block"><mml:mrow><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        <inline-formula><mml:math id="M32" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> may represent various optical parameters of interest (e.g., scattering, absorption, extinction), <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the wavelength of light
(<inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M36" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> at 1 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the Ångström exponent. One advantage of this representation is that the
derivative of this relationship produces a line in logarithmic space with a wavelength-independent slope,
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M39" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Hence, from any two wavelengths, the Ångström exponent for the entire spectrum can be determined via
          <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M40" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        The simplicity of this representation has led to its widespread use in the aerosol and remote sensing communities due to its utility in calculating
<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at wavelengths for which there is not a direct measurement. <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is sensitive to the measurement error in <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, such that if
multiple wavelengths are available, it is preferable to perform a linear fit using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) than a paired wavelength calculation as in
Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>). If the optical property of interest is fully described by a power law, then further spectral detail beyond several wavelengths is
superfluous. However, if <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is not, in fact, wavelength-independent for ambient aerosols, then a hyperspectral measurement (or sufficient
wavelength sampling spanning the full wavelength range of interest) is required to capture the actual wavelength dependence.</p>
      <p id="d1e835">Previous studies have considered various aerosol properties that may influence the spectral shape (and/or variation of the Ångström exponents
calculated from different pairs of wavelengths) of ambient aerosol optical depth (AOD) such as the volume mean (or effective) radius of accumulation-mode aerosols, the geometric SD (i.e., width) of the accumulation mode, the volume fraction of the fine mode relative to the total aerosol population,
and the absorption characteristics (i.e., composition) of the aerosol population (e.g., Reid et al., 1999; Eck et al., 1999, 2001b; Schuster et al.,
2006). The relationships identified to date remain qualitative rather than quantitative and have been based on total atmospheric column measurements
from remote sensors and on Mie calculations. Recently, the retrieval algorithm developed by O'Neill et al. (2001, 2003, 2008) to distinguish fine mode
from coarse-mode AOD components using second-order spectral fits has been applied to in situ extinction components based on scattering and absorption
measurements made at a few visible wavelengths and evaluated using several sets of field data (Kaku et al., 2014, and references therein). The
Spectral Aerosol Extinction (SpEx) instrument (Jordan et al., 2015) provides a new measurement approach that combines the advantages of a broad
spectral range (typically limited to remote sensing techniques) with an in situ measurement capability (that allows for direct comparison to other in
situ measurements of ambient aerosol microphysical and chemical properties). Combining this hyperspectral in situ measurement capability with
retrieval techniques as in Kaku et al. (2014) also provides a new tool to fine-tune remote sensing retrievals.</p>
      <?pagebreak page697?><p id="d1e838">Although SpEx measures a narrower wavelength range (300–700 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) than some remote sensors – e.g., ground-based nine-band sun-sky radiometers
AERONET (340–1640 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, Giles et al., 2019) and airborne hyperspectral sun-sky radiometer 4STAR (350–1750 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, 2–3 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
resolution, LeBlanc et al., 2020) – and similar ranges to others – e.g., hyperspectral polarimeters SPEX airborne
(400–800 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, 2–3 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> resolution in intensity, Smit et al., 2019; Fu et al., 2020) and SPEXone (385–770 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, 2 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
resolution in intensity, Hasekamp et al., 2019) planned for the upcoming PACE mission (Werdell, et al., 2019; Remer et al., 2019a, b) – it measures deeper into the UV range and has finer spectral resolution, <inline-formula><mml:math id="M53" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.8 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. Similar in situ instruments, such as
broadband cavity-enhanced spectroscopy (BBCES) instruments (e.g., Washenfelder et al., 2013, 2015; Bluvshtein et al., 2016, 2017; He et al., 2018), do
not provide as broad a UV–visible range as SpEx. Hence, SpEx is particularly suited to examine spectral details for ambient aerosols over its
measurement range and to relate those spectral details to simultaneous in situ measurements of ambient aerosol microphysics and composition.</p>
      <p id="d1e922">Previous work described SpEx using a series of laboratory tests that included a variety of non-absorbing and absorbing aerosols to characterize the
instrument (Jordan et al., 2015). However, the purpose of SpEx is to measure atmospheric aerosols in the ambient environment. Hence, this paper
is the first to offer details on the instrument performance in the field. The data presented here were obtained during the Korea–United States Ocean Color (KORUS-OC) oceanographic field campaign conducted around the Korean peninsula under the leadership of the Korean Institute of Ocean
Science and Technology (KIOST) and the US National Aeronautics and Space Administration (NASA). The KORUS-OC cruise was affiliated with the airborne
Korea–United States Air Quality (KORUS-AQ) campaign and the KOrean Coastal water Ocean and Atmosphere (KOCOA) field campaign. These joint missions were conducted
to study South Korean air quality and ocean color within the field of regard of South Korea's Geostationary Ocean Color Imager (GOCI) that provided
hourly ocean color and aerosol optical depth (AOD) measurements. Although the primary scientific objectives of the KORUS-OC cruise focused on ocean
color measurements (both in situ and remotely sensed), there were also objectives to address atmospheric correction requirements and to explore
interdisciplinary science questions (e.g., Tzortziou et al., 2018; Thompson et al., 2019). The joint S. Korean and US-based science teams sailed
aboard the KIOST research vessel R/V <italic>Onnuri</italic> (Fig. S1 in the Supplement). Details on the scientific objectives of these field campaigns are
provided in two white papers: Al Saadi et al. (2015) and US-Korean Steering Group (2015). An overview of the findings from KORUS-AQ is provided by
Crawford et al. (2020) and references therein.</p>
      <p id="d1e928">Two commercial instruments (AirPhoton's integrating nephelometer, IN101, and Brechtel's Tricolor Absorption Photometer, TAP) were also deployed to
measure in situ aerosols at three visible wavelengths providing scattering coefficients and absorption coefficients, respectively. These measurements
are presented in detail here and used to evaluate the performance of SpEx. Filter samples were also collected and analyzed in the laboratory for
spectral absorption and chemical composition as discussed in Part 2 of this work. Those data provide additional context for the measurements described
here in Part 1. Further, Part 2 presents an assessment of the applicability of a methodology routinely used by the ocean color community to measure
hyperspectral particle absorption for use with ambient atmospheric aerosol samples. Hence, Part 2 includes further discussion of the ability of power
laws to fully represent the observed hyperspectral variability of in situ aerosol optical properties as measured during KORUS-OC.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ship deployment</title>
      <p id="d1e946">The measurements reported here from 20:25 KST 21 May through 09:00 KST 4 June 2016 (Korean standard time, KST <inline-formula><mml:math id="M55" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> UTC<inline-formula><mml:math id="M56" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>9) were made outside of South Korea's territorial seas (<inline-formula><mml:math id="M57" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 12 nautical miles, 22.2 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, from the coast, Fig. 1a). The instrument suite
(Fig. S2) was deployed above the bridge strapped to the starboard rail in a custom-built box designed to keep the instruments dry
yet ventilated to prevent overheating (Fig. S1). The pumps were located in a separate box a few meters away tied to the stern rail (Fig. S1) to limit
thermal and mechanical interference with the measurements. Measurements were made at ambient temperature (<inline-formula><mml:math id="M59" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), pressure (<inline-formula><mml:math id="M60" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>), and relative
humidity (RH), (i.e., the aerosols were not dried prior to measurement) with the exception of the TAP instrument which is internally heated and kept
at a constant 35 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M62" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M63" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, and RH were measured both aboard ship and within the sampling system. Although the sampling box was
ventilated, it was not climate controlled. On the top deck it was in direct sunlight during the day, and even at night various components in the system
kept the interior warmer and drier than ambient air. These conditions led to diurnal variability in the difference between sampling and ambient
conditions, such that the sampling <inline-formula><mml:math id="M64" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> was <inline-formula><mml:math id="M65" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer at night, increasing to as much as <inline-formula><mml:math id="M67" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warmer
in mid-afternoon. Similarly, ambient RH ranged from 55 %–98 % RH throughout the cruise, while the sampling RH ranged from
<inline-formula><mml:math id="M69" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 %–70 %. For the purposes of this work (both Parts 1 and 2), the comparisons made are all within this sampling system with <inline-formula><mml:math id="M70" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and
RH consistent across all measurements, except for TAP. Since non-volatile black carbon (BC) is expected to dominate the absorption measurement, this
difference is expected to have a limited impact on the results. The primary objective in this work is to evaluate the performance of SpEx by direct
comparisons to the data from the two commercial instruments in the measurement suite. Hence, we did not perform any corrections to either ambient <inline-formula><mml:math id="M71" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>
and RH or to<?pagebreak page698?> standard temperature and pressure (STP) prior to comparing these data. There are no comparisons in this pair of papers to other data
sets, so such corrections are not necessary for this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1088">Cruise maps of date and time (KST, <bold>a</bold>) with 532 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <bold>b</bold>), <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <bold>c</bold>), and <inline-formula><mml:math id="M77" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> <bold>(d)</bold>.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f01.png"/>

        </fig>

      <p id="d1e1175">The available berths aboard ship constrained the number of personnel available to operate the sampling system, so it was necessary to configure the
system to operate nearly autonomously. To ensure that water did not enter the sampling line, a tall stainless-steel sampling mast (19.05 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> in.) inner diameter tubing) was used to minimize the chance of sea spray entering the line from below. Further, the inlet was
attached to the vertical sampling mast with a curved section of stainless-steel tubing such that the inlet was downward facing to prevent any
potential precipitation from entering the line from above as well (Fig. S1). This configuration worked as intended with the inlet approximately 10 m
above the sea surface. However, the fast flow rate required for the SpEx measurement (approximately 70 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) through the curved inlet
resulted in the removal of coarse aerosol with a 50 % size cut of <inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter (Fig. S3). Hence, all of
the measurements here (sampling from the same inlet, Fig. S2) reflect only the fine-fraction aerosol in the marine boundary layer (MBL).</p>
      <p id="d1e1233">While the SpEx and commercial instruments were run mostly uninterrupted, colleagues from other groups aboard ship carried out the routine filter
changes needed throughout the cruise. They also ensured that the system ran properly and were there to handle problems. The methodology and results of
the filter sampling will be presented in the companion paper (Part 2, Jordan et al., 2021).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Aerosol scattering and absorption coefficient measurements and derived parameters</title>
      <p id="d1e1244">The IN101 and TAP instruments provide data at a higher temporal resolution than SpEx and were deployed with two objectives: (1) to identify and flag
incidents of ship exhaust (“plume”) contamination of the data set and (2) to evaluate the new spectral measurements (both from SpEx and the
filters). The TAP (model 2901, Brechtel, Hayward, CA) measures absorption coefficients (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at 467, 528, and 652 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> with
1 s resolution, and the IN101 (AirPhoton, Baltimore, MD) measures scattering coefficients (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at 450, 532, and 632 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
with <inline-formula><mml:math id="M87" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> resolution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1303"><bold>(a)</bold> <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (light shades) and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (dark shades) averaged to 1 min intervals during the cruise (both in units of <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (light shades) and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (dark shades), unitless, calculated from the wavelength pairs of the coefficients in the top panel. <bold>(c)</bold> <inline-formula><mml:math id="M94" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> (right axis), unitless, along with 1 min averaged CO concentrations (ppbv). Note that the peak CO value cutoff in the figure reached 1000 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f02.png"/>

        </fig>

      <p id="d1e1394">To identify ship plume interceptions, an initial examination of the IN101 <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and TAP <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data was
performed. One-minute averages were calculated in order to calculate the single-scattering albedo (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data were corrected using the submicron factors in
Anderson and Ogren (1998). These corrections are needed to resolve truncation errors in the forward scattering (the 7 to 0<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> range missing from
the measurement) and non-Lambertian errors that arise from the distribution of light by the opal glass diffusor. Due to limited personnel,
calibrations were not performed during the cruise. Pre- and post-cruise calibrations using pure <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were performed in the laboratory to
correct the final archived data and indicate the instrument performance was stable throughout the measurement period. The <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data
were corrected for scattering as recommended in Ogren et al. (2017).</p>
      <p id="d1e1496">Interception of the ship plume was first identified using 1 min averages of the gas-phase <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements (Thompson
et al., 2019). The inlets for the gas-phase instruments were near but not co-located with the aerosol inlet, so the 1 min averages of <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were used to further assess evident ship plume interceptions in the aerosol data set. The
<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data were particularly sensitive to such interceptions exhibiting dramatic brief spikes in the otherwise smoothly varying time
series (the interested reader can compare <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. S4, which shows all of the data in the time series, including
ship plume interceptions to <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. 2a, where the plume interceptions have been removed). These were easily identifiable and
removed manually. The inlets for the in situ instruments were towards the starboard bow (gas phase on a lower deck, a few meters aft of the aerosol
inlet) opposite of the ship stack pointed toward the port side stern. While underway, ship plumes did not affect the measurements, but they were
encountered occasionally when on station or, as was more frequently the case, when getting underway from a stationary sampling site. The archived
plume flags (<inline-formula><mml:math id="M111" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 0 for ambient air, 1 for ship plume interceptions) may be used to either remove data points affected by ship contamination or to
assess ship plume contamination of filter samples (see Part 2).</p>
      <p id="d1e1591">In addition to the 1 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> averaged <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data reported in the KORUS-AQ data archive, averages were
also calculated for each 30 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> SpEx sampling interval and corrected in the same manner as the 1 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> data set. The IN101 and TAP
instruments measure at different wavelengths, so in order to calculate <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), the TAP
data were adjusted to the IN101 wavelengths using Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>). For clarity, these extinction coefficients are denoted NT (for
nephelometer <inline-formula><mml:math id="M119" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> TAP) <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in comparison to the measured SpEx <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at those wavelengths (450, 532, and
632 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>). Similarly, a second set of plume flags was created for the SpEx sampling interval (i.e., based on plume interceptions for
30 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> intervals approximately every 4 min; see Sect. 2.3).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Spectrally resolved aerosol extinction coefficient measurements</title>
      <p id="d1e1728">Developed from a prototype described in Chartier and Greenslade (2012) SpEx is described in detail in Jordan et al. (2015). SpEx is a White-type
optical cell (White, 1942) with a 39.4 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> path length and a 17 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> internal volume. A flush time of 90 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> completely exchanges the
air in the cell (3 times the volume) for flow rates <inline-formula><mml:math id="M127" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 34 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; here, the flow rate was <inline-formula><mml:math id="M129" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 70 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The optical
cell is coupled via fiber optics to a UV5000 system (Cerex Monitoring Solutions, LLC, Atlanta, GA) with a 150 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi></mml:mrow></mml:math></inline-formula> xenon lamp source (Cerex<?pagebreak page699?> P/N
CRX-X150W), integrated with an Ocean Optics, Inc. (Dunedin, FL) QE65Pro 16 bit spectrometer. Sampling for 30 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> using an integration time of
<inline-formula><mml:math id="M133" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20–50 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow></mml:math></inline-formula> optimizes the signal-to-noise ratio for each measured intensity spectrum (Jordan et al., 2015). An automated valve system
controls the 4 min sampling cycle by switching the flow between the filtered line (ambient air without aerosols) and an unfiltered line (ambient air
with aerosols): 90 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> flush, 30 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> sample without aerosols, 90 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> flush, 30 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> sample with aerosols, and repeat.</p>
      <p id="d1e1868">The intensity spectrum is measured for the sample without aerosols for a reference (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and for the sample with aerosols (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi>I</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) from which the extinction spectra (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) are calculated using the extinction law (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>),
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M142" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi>I</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> is the wavelength of light and <inline-formula><mml:math id="M144" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the optical path length (here, in units of Mm). Hence, extinction spectra are acquired every
4 min. Reference spectra before and after each sample spectrum are averaged together to account for drift in the intensity between measurements in
the calculation of <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. A particular strength of this measurement is it explicitly accounts for extinction arising from gas-phase
constituents via the reference spectra. No calibrations are needed to obtain aerosol <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Laboratory tests have shown the
measurement error over the full spectral range of the measurements (300–700 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) to be about <inline-formula><mml:math id="M148" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Jordan et al., 2015).</p>
      <p id="d1e2044">Several modifications have been made to the instrument since the laboratory studies reported in Jordan et al. (2015). These include an automated
switching system between valves that control flow between filtered and unfiltered air and new custom control software that allows for continuous
unattended operation. Further, the metal-jacketed optical fibers used previously were replaced with bare optical fibers securely packed in foam to
reduce noise when deployed on mobile platforms. This last change resulted in greatly improved data quality with far fewer spectra disrupted due to
mechanical disturbance under field conditions. Nonetheless, some spectra had to be rejected from the final data set due to features that provided
clear evidence of disturbance. Typically, this occurred around the times of the filter changes when the lid of the box housing the sampling system
needed to be raised to change filters (flagged using the plume flag field, value set to 2; see Fig. S4). Sometimes the filters were changed during
flush times, leaving measured spectra unaffected, while at other times, disturbed spectra persisted for some period of time around the filter
change. This suggests other vibrations arising from work involving nearby<?pagebreak page700?> instruments or elsewhere on the ship may have contributed to the noisy
rejected spectra. More work is required to further reduce the susceptibility of SpEx to sources of vibrational noise; nonetheless <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> % of
the 4255 measured spectra were rejected from the data set overall. Note that ship plume interception (affecting <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> % of the measured spectra)
often resulted in distorted spectra likely due to rapid changes in both the aerosol population and the gas-phase concentrations used to establish the
reference spectrum for the calculation of aerosol extinction as in Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>). Hence, only spectra obtained when the plume flag <inline-formula><mml:math id="M152" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 should be
used for analysis of ambient conditions.</p>
      <p id="d1e2076">One consequence of unattended operation is the intensity drift sometimes resulted in saturated pixels around 332 and 467 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> due to peaks at
those wavelengths in the lamp spectrum (Fig. S5). Saturation can be prevented either by adjusting the integration time of the
spectrometer or by realigning the optics. However, unattended operation necessitated<?pagebreak page701?> filtering the spectra at those two wavelengths when saturation
occurred. The 16 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">bit</mml:mi></mml:mrow></mml:math></inline-formula> spectrometer has a maximum intensity count of 65 536 (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>); however, saturation effects became apparent before
reaching this maximum. Tests showed that a threshold of 63 000 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">counts</mml:mi></mml:mrow></mml:math></inline-formula> was a suitable limit for removing saturation effects from the
spectrum. Filtering the 467 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> channel and the two adjacent pixels on either side of that channel removed the saturation distortions
completely. The saturation effects at 332 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> were filtered in the same way; however, there appeared to be a minor shoulder effect that
extended over a broader wavelength range in the UV. The effect was minimal (a few percent of the measured value) and well within the measurement
error. However, caution is recommended against overinterpreting the shape of a spectrum in the vicinity of 332 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> when the saturation flag
(Sat332Flag) for this channel is set to 1. Saturation at 332 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> affected 16 % of the total 4255 measured spectra.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{Overview of $\sigma _{{\text{scat}}}$ and $\sigma _{{\text{abs}}}$ during KORUS-OC}?><title>Overview of <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during KORUS-OC</title>
      <p id="d1e2186">Four distinct synoptic meteorological regimes have been described in detail for the KORUS-AQ period (Peterson et al., 2019). The KORUS-OC cruise
departed the peninsula (Fig. 1a) sailing to the East Sea (Sea of Japan) near the end of the second of these periods, the Stagnant period, characterized
by limited transport and enhanced photochemical production of secondary organic aerosols (SOAs; Kim et al., 2018; Nault et al., 2018; Choi et al., 2019; Jordan et al., 2020). This regime started breaking down on 23 May, followed by a precipitation event on 24 May that reduced ambient aerosols to
low concentrations as reflected by low (tens of <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2a).</p>
      <p id="d1e2214">From 25 through 31 May the Transport/Haze period was characterized by air mass transport (from the west/northwest carrying pollutants from China),
overcast hazy conditions, and rapid local South Korean secondary production of inorganic aerosols resulting in the largest concentrations of the
<inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fraction of aerosols (i.e., particulate matter with diameters <inline-formula><mml:math id="M166" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2.5 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) observed during the KORUS-AQ campaign
(Peterson et al., 2019; Eck et al., 2020; Jordan et al., 2020). The greatest <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (hundreds of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) observed
aboard the R/V <italic>Onnuri</italic> were found during the first half of the Transport/Haze period while the ship was downwind of the Korean peninsula in
the East Sea (Figs. 1a and b, and 2a). Lower <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values were observed during this period when the ship was upwind of the peninsula
following its transit to the West Sea (Yellow Sea).</p>
      <p id="d1e2285">The final of the four synoptic periods, the Blocking period, followed a frontal passage that ended the previous Transport/Haze period (Peterson
et al., 2019). This final frontal passage swept in cleaner air from the north, leading to a rapid decrease in aerosol concentrations reflected in the
reduced <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> observed aboard ship (Fig. 2). The Blocking period was then characterized by limited transport and occasional brief
stagnant periods due to adjacent high- and low-pressure systems with the high poleward of the low (called a Rex block). Under these conditions local
sources dominated pollutants, but aerosols did not accumulate to large concentrations (Peterson et al., 2019; Jordan et al., 2020). This led to
strikingly low <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (tens to <inline-formula><mml:math id="M173" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. 2), even lower than those observed during the precipitation event
on 24 May.</p>
      <p id="d1e2332">Throughout the cruise <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values were typically an order of magnitude smaller than <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2a) with peak values
generally found at the same locations and times as peak <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 1). Hence, while the temporal variability of
<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> largely followed <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the range in the magnitude of <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (0.36–18.07 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) at
532 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> was far less than that of <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (2.8–332.2 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This led to the finding that single-scattering albedo
values (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) were driven by the change in scattering not
absorption. Typically, <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> was <inline-formula><mml:math id="M187" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.9 (Figs. 1d and 2c). The excursions below this value observed on 23 and 24 May occurred when the reduction
in <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> exceeded that observed in <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2527">The most extreme low values of <inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M191" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.7 for 532 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, Figs. 1 and 2), however, occurred during the Blocking period, when the
temporal evolution of <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> did not closely follow <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. At that time, the scattering Ångström exponents
(<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) increased to values <inline-formula><mml:math id="M196" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3, while absorption Ångström exponents (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) were <inline-formula><mml:math id="M198" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1
(Fig. 2b). These data indicate that the aerosol population was dominated by small particles, likely black carbon (BC). The temporal evolution of
carbon monoxide (CO, Fig. 2c) and <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2a) was strikingly similar from 04:00 1 June through 20:00 2 June, exhibiting an
<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M201" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.841 for a linear regression over that time. This is in contrast to the Blocking period as a whole (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M203" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.514) or the rest of
the campaign, excluding the Blocking period (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M205" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.623). The good correlation with CO, the BC signature in <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the small
particle population indicated by <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and the limited transport of the Blocking period together suggest that the low
<inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> values arose from local ship emissions from either  commercial or fishing vessels or both. Note that the inference that aerosols during the
Blocking period were from local ship emissions refers to the regional ambient environment and should not be confused with ship plume contamination
from the R/V <italic>Onnuri</italic> (see Sect. 2.2 for the criteria used to remove ship stack contamination from the data set).</p>
      <p id="d1e2710">Aside from the Blocking period, <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> typically ranged from <inline-formula><mml:math id="M210" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5–2, with evident wavelength dependence in the
<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> wavelength pairs (Fig. 2b). Little difference was found among the wavelength pairs in the <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values that
typically ranged from <inline-formula><mml:math id="M213" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5–1 throughout the cruise.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Comparison of SpEx data to $\sigma _{{\text{ext}}}$ calculated from $\sigma _{{\text{scat}}}+\sigma _{{\text{abs}}}$}?><title>Comparison of SpEx data to <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> calculated from <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <?pagebreak page702?><p id="d1e2797"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values calculated from the <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data (denoted NT <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to distinguish it from
SpEx <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) averaged over the SpEx sampling intervals (see Sect. 2.2) were compared to the 450, 532, and 632 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> channels of
SpEx (Fig. 3). Excellent agreement was found with slopes of 1.020 <inline-formula><mml:math id="M221" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002, 0.998 <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.003, and 1.057 <inline-formula><mml:math id="M223" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.004 for all of the data in
each of the three channels (gray plus markers in Fig. 3), respectively. Three intervals were used to look at mean comparisons:
15 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (light colored circles), 30 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (dark colored triangles), and 60 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (black diamonds). The slopes, intercepts, and
<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values for all of the fits are shown in Fig. 3. These fits were performed using data limited to the valid measurement range (i.e., above the
lower limit of detection, LLOD). Tests indicated that a limit of twice the measurement uncertainty provided a suitable LLOD (10 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2932">NT vs. SpEx <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (450 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>a</bold>; 532 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>b</bold>; 632 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>c</bold>). All data points (gray pluses) are shown with 15 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (light colored circles), 30 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (dark colored triangles), and 60 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (black symbols) means. Fit lines, coefficients, and <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values are color-coordinated with the symbols, except for the black markers where the fit lines used a light color for visibility. Above LLOD points only.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f03.png"/>

        </fig>

      <p id="d1e3021">The SpEx data were more variable than the NT <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as is evident in time series comparisons throughout the cruise (Fig. 4a and Figs. S6 and
S7, top panel). This is partly attributable to
the differing noise characteristics of the measurement techniques, but it also arises from differences in sampling intervals where the standard error
of the means reduces the variability by the square root of the number of samples in the mean. The NT <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represent 30 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>
means calculated from <inline-formula><mml:math id="M240" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and 1 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements for each SpEx
<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> spectrum. Averaging SpEx <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reduces the variability (Fig. 4b and Figs. S6 and S7, middle panel) according to the standard error of the means. However, not all of the
variability evident in Fig. 4 is noise. Limiting the data range in the time series to 2 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 5) illustrates that the native resolution of SpEx
captured rapid changes that were also evident in the NT data. For example, consider the double peak feature that occurred around 03:00 on 25 May
(Fig. 5a). This temporal variation is lost even in the 15 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> average (Fig. 5b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3142">Time series of 532 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) throughout the cruise. <bold>(a)</bold> SpEx (all data, gray; above LLOD, green; these curves are coincident until 2 June when the lowest values are below detection and hence appear gray) with NT <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (black). <bold>(b)</bold> SpEx (all data, gray) with 15 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (light green), 30 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (dark green), and 60 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (black) means. <bold>(c)</bold> SpEx SDs of the 15 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (light green), 30 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (dark green), and 60 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (black) means. Meteorological periods shown as in Fig. 2.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3256">Two day highlight of the top two panels of Fig. 4. <bold>(a)</bold> <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(532 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) from SpEx (green) shown with NT (black). <bold>(b)</bold> <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(532 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) from SpEx (all data, gray) with 15 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (light green), 30 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (dark green), and 60 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> (black) means.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f05.png"/>

        </fig>

      <p id="d1e3334">For clarity, the SDs for the means are shown separately (Fig. 4c and Figs. S6 and S7, bottom panel). Most of the SDs of the means
in these channels were consistent with the measurement error of about <inline-formula><mml:math id="M266" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with larger values arising from changes in the ambient
conditions. Hence, the SDs of the 60 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> means describe an upper envelope compared to the 15 and 30 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> means as changing ambient
conditions led to greater variability in the means. Together, the results shown in Figs. 3–5 show that quantitative data were obtained under field
conditions with SpEx at its native sampling resolution.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Evaluating extinction {\AA}ngstr\"{o}m exponents ($\alpha _{{\text{ext}}}$) with hyperspectral extinction data}?><title>Evaluating extinction Ångström exponents (<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) with hyperspectral extinction data</title>
      <?pagebreak page703?><p id="d1e3394">With the spectral data available from SpEx, it was possible to test the power law behavior of the individual and mean spectra by fitting a line to
each spectrum in logarithmic space per Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), where the Ångström exponent, <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, is the negative value of the slope. As
discussed in the introduction, if a power law described the relationship well, <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> should be invariant with wavelength. Yet clear
separation was found in <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from linear fits to all of the individual spectra (all data, Fig. 6a) depending on the wavelength range used
for the fit. The <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from fits to the full range (300–700 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) and two partial ranges (450–532 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) and
(532–632 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) deviate from the <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line expected when plotted vs. <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from fits to the 450–632 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> range. This result was
also found for <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> determined from all of the mean spectra sets as well (e.g., those from the 30 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> mean spectra, Fig. 6b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3521"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> determined over three different wavelength ranges (300–700 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, black diamonds; 450–532 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, teal circles; and 532–632 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, gold triangles) compared to that found over the 450–632 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> range (<inline-formula><mml:math id="M288" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis). All data <bold>(a)</bold> and 30 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> means <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f06.png"/>

        </fig>

      <p id="d1e3594">Most of the SpEx spectra measured during the cruise exhibited curvature over the 300–700 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> range in logarithmic space. Note that in order to
compare results here to previously published work (Sect. 4), for the remainder of this section fits will be shown using wavelength in units
of micrometers (<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). This change in units does not alter the values of <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (which are invariant with wavelength, and hence the choice
of units does not matter), but it does change the other coefficients from the mathematical fits to the spectra as will be discussed further in
Sect. 4. An example of the observed curvature is provided in Fig. 7. The measured spectrum shown (red curve, Fig. 7a–f) is curved such that residuals
(the difference between the measured spectrum and the mathematical fit, blue curves) from the linear fits (black lines, Fig. 7a, b and c) are also
curved. If a particular mathematical function (here, a power law) provides a good fit to the data, the residuals should be randomly distributed around
zero. If there is a trend (the curvature evident here), then other functions should be considered to see if a better fit may be obtained. The
curvature in the residuals is evident not only across the full wavelength range (Fig. 7c), but for subsets of that range as well (e.g., the
0.45–0.632 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> fit, Fig. 7a). Note that the log scale used to plot the spectrum (red curves) in Fig. 7 along with the relatively<?pagebreak page705?> small
extinctions at long wavelengths exaggerates the appearance of noise at those wavelengths (i.e., <inline-formula><mml:math id="M294" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the red end where
<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M297" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, LN(20) <inline-formula><mml:math id="M299" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3, is more obvious than in the UV where <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M301" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, LN(150) <inline-formula><mml:math id="M303" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5). Nonetheless, the intensity of the xenon lamp decreases from 600 to 700 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S5; in
Fig. 7, LN(0.6 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M306" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M307" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.51, LN(0.7 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M309" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.36) such that smaller values of <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> combined with the small
differences between <inline-formula><mml:math id="M312" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in this wavelength range lead to slightly greater uncertainty in <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3840">Example of wavelength dependence of LN(<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Mm<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) spectra (red curves) as a function of LN(wavelength (<inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)). Linear (<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <bold>a–c</bold>; here the intercept <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the value of LN(<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at 1 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> where LN(1 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, and the slope <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>) and second-order polynomial (<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <bold>d–f</bold>) fits (black curves) are shown with the fit residuals (<inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> – fit, blue curves). Residuals randomly distributed around zero indicate a good fit by the mathematical function used to fit the data, trends in residuals suggest another function may provide a better fit. Fits to the LN(0.450–0.632<inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) subrange (<bold>a, d</bold>) and to the full range (LN(0.3–0.7<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), <bold>c, f</bold>) are shown. Panels <bold>(b, e)</bold> show the extrapolation of the fit in panels <bold>(a, d)</bold> over the full measured wavelength range. The <inline-formula><mml:math id="M329" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis labels of <inline-formula><mml:math id="M330" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2, <inline-formula><mml:math id="M331" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0, <inline-formula><mml:math id="M332" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8, <inline-formula><mml:math id="M333" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6, and <inline-formula><mml:math id="M334" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4 are the natural log values for the wavelengths 0.301, 0.368, 0.449, 0.549, 0.670, and 0.698 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, i.e., equal to LN(<inline-formula><mml:math id="M336" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f07.png"/>

        </fig>

      <p id="d1e4169">The wavelength-dependent curvature can lead to large errors if used to extrapolate to wavelengths beyond the measured range of values. For example,
using <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> found from the 0.45–0.632 fit to extrapolate to 0.3 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 7b) leads to a value of
<inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.7099</mml:mn></mml:mrow></mml:math></inline-formula>, while the measured value was 5.0839, i.e., an extrapolated extinction of 302 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 87 % larger
than the measured extinction of 161 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This wavelength is the most extreme, but the positive artifact is present throughout the UV
range: with the extrapolated extinction 73 % and 29 % greater at 0.315 and 0.365 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. At 0.45 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>
(LN(0.45 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M346" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M347" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.8, Fig. 7), the lower end of the fit range of values, the fit extinction was 6 % greater than the measured
value, while at 0.532 <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (the middle of the fit range) it was 3 % less.</p>
      <p id="d1e4297">Previous work has shown that second-order polynomials in logarithmic space can provide a better fit to ambient aerosol optical depth (AOD, aerosol
extinction integrated over an atmospheric column) spectra than power law fits (e.g., Eck et al., 1999, 2001a, b, 2003a, b; Schuster et al., 2006;
Kaskaoutis et al., 2010, 2011). In the example shown in Fig. 7, it is clear that a second-order polynomial fit (black curves, Fig. 7d–f) reduces the
trends in the residuals both over the full wavelength range (Fig. 7f) and over the 0.45–0.632 <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> subset of that range (Fig. 7d) from that
obtained from the linear fits. The improved fit provided by a second-order polynomial for all of the measured spectra is shown using histograms of the
residuals at six wavelengths across the measured wavelength range (Fig. 8). For both the linear fits (black bars) and the second-order polynomial fits
(red bars), the range of values for residuals at each wavelength is divided into 20 bins. The narrower bins for the second-order polynomial fits
reflect the smaller range in residual values compared to those from the linear fits. The best agreement between the two sets of residuals shown in
Fig. 8 is found at 0.532 <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, where the linear fit residuals are distributed around zero. At longer and shorter wavelengths, however, the
linear residuals tend to be either positive or negative at any given wavelength, while the second-order polynomial fit residuals are centered around
zero across all wavelengths. These results confirm that second-order polynomials provide a better fit to the data than linear fits.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4322">Comparison of residuals (the difference between the data and mathematical function fit to that data) from a line fit (black) and second-order polynomial fit (red) to the measured LN(<inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) spectra over the 0.3–0.7 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range for six wavelengths: 0.315 <bold>(a)</bold>, 0.365 <bold>(d)</bold>, 0.45 <bold>(b)</bold>, 0.532 <bold>(e)</bold>, 0.632 <bold>(c)</bold>, and 0.675 <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(f)</bold>.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f08.png"/>

        </fig>

      <p id="d1e4395">Unfortunately, just as extrapolating linear fits beyond the measurement range is problematic, the same is also true for the second-order polynomial
fits (Fig. 7e). In this case, at 0.45 and 0.532 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (within the fit range) the fit agrees with the measured extinctions
within 1 % (<inline-formula><mml:math id="M355" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 85 and 56 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively). However, at increasingly shorter wavelengths the fit diverges from the measured
spectrum with the fit values 15 %, 28 %, and 34 % too small at 0.365, 0.315, and 0.3 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The divergence of
either fit from the measured spectrum when extrapolating beyond the fit wavelength range (Fig. 7b and e) highlights the need for measurements
across a broad spectral range in order to minimize the need for extrapolation.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e4448">The motivation to fit the SpEx spectra with a second-order polynomial came primarily from the work of Schuster et al. (2006) in which both Mie
calculations and AERONET data were used to explore the additional information that spectral curvature may provide. A comparison of the coefficients
obtained from SpEx to the fine-fraction subset of aerosols reported in Schuster et al. (2006) revealed two key differences between the data
sets. First, the <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> coefficients spanned a wider range of values than those obtained in the prior work (Fig. 9a). Second, Schuster
et al. (2006) reported an empirical approximation such that <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was approximately equal to <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This approximation clearly
does not hold for the values obtained from this data set (Fig. 9a). These differences can be understood as follows.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4504"><bold>(a)</bold> Coefficients <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from second-order polynomial fits to the full wavelength range (0.3–0.7 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) of the individual (all data, gray filled circles) and mean (15 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, red open circles; 30 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, dark blue triangles; and 60 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, light blue diamonds, average) spectra. The black box shows the limits of the Schuster et al. (2006) Fig. 6 plot; black lines show approximate equivalents to <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M369" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 and 2 from that work. <bold>(b)</bold> <inline-formula><mml:math id="M370" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> mapped into (<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space as a function of the characteristic wavelength (<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of the measured spectral range. <bold>(c)</bold> <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> calculated from the full spectral range of SpEx (colored dots) overlaid on <inline-formula><mml:math id="M375" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> maps that cover the range of <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values calculated from the data set. The black box is the same as the one in panel <bold>(a)</bold>.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f09.png"/>

      </fig>

      <p id="d1e4670">The two expressions used here to fit the relationship between <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M378" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> are related by their negative derivative, defined
as <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> in Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). That is, the derivative of the linear fit (<inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>y</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:math></inline-formula>) equals the derivative of the second-order polynomial fit (<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>y</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>) such that
          <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M384" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e4863">Note that the derivative of Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>), <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext><mml:mo>′</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
defines the curvature of the extinction spectra (Eck et al., 1999). For any given spectrum, there is one wavelength at which the linear and second-order polynomial fits yield equivalent results in Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>). This must not be confused with every wavelength measured in the spectrum, so we
will refer to this one wavelength as the characteristic wavelength of the measurement range, <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, from here on. It can be calculated
for each measured spectrum from the two sets of fit coefficients for that spectrum. That is, rewriting Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) in terms of
<inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> the characteristic wavelength of the measured spectrum may be calculated from <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>∧</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. For the SpEx data set, <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was found to range from
0.36–0.46 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. In contrast, the empirical fit of <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> implies <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M393" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.61, i.e.,
LN(0.61) <inline-formula><mml:math id="M394" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M395" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5. The dependence of Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) on the characteristic wavelength results in spectra sets with differing
<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> exhibiting different mapping between <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and (<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). To illustrate this, consider the range of
<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (0.29–3.25) found from linear fits over 0.3–0.7 <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to all of<?pagebreak page706?> the spectra measured by SpEx during
KORUS-OC. This range of <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values maps differently into (<inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space as a function of <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 9b).</p>
      <p id="d1e5187">There are two special cases evident in Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) that result in <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. First, when there is no curvature (<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>),
<inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> describes the same linear fit as <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Second, when <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M411" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (i.e., LN(1) <inline-formula><mml:math id="M413" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0)
Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>) is insensitive to curvature such that <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can have any value at all. This can be understood from Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), where <inline-formula><mml:math id="M415" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>
can be any value when <inline-formula><mml:math id="M416" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M417" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M419" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>(1 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) will always <inline-formula><mml:math id="M421" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M422" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>. The former leads to all
<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> sets overlapping at <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, while the latter exhibits a broad vertical band independent of curvature (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
(Fig. 9b). These special cases have important implications. As <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> approaches 1 <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> the measurement becomes insensitive
to curvature, while at the short wavelengths of light represented by <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo></mml:mrow></mml:math></inline-formula> 0.1 <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> the curvature itself becomes
unimportant. Hence, to probe spectral curvature Fig. 9b shows measurement techniques with <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M431" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> provide the greatest sensitivity with sufficient separation in (<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) to distinguish aerosol
microphysical and chemical properties influencing the spectral shape.</p>
      <?pagebreak page707?><p id="d1e5502">The rotation as a function of <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> shown in Fig. 9 also illustrates why wavelength units of micrometers (<inline-formula><mml:math id="M437" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) must be used to calculate
(<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). As <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increases to values <inline-formula><mml:math id="M441" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M443" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> map rotates clockwise (Fig. S8). If one used <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M445" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 410 <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> rather than 0.41 <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, it would map into a narrow band in the next
quadrant of (<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space spanning a wide range in <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> but a narrow range in <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, resulting in little curvature sensitivity. The
calculation of <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is wavelength independent and will produce the same result no matter what units are used. This is <italic>not</italic>
the case for the calculation of (<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), so it must be emphasized that for curvature the units matter.</p>
      <p id="d1e5702">The angular difference between <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M456" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.61 and 0.41 <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> accounts for the shift between the mapping reported in
Schuster et al. (2006) and this work. The differing values in <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> arise from the different spectral ranges between AERONET (seven bands
spanning 0.34–1.02 <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, Schuster et al., 2006) vs. 0.3–0.7 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for SpEx. The <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from fits to the
spectra set map into the expected bands (Fig. 9c) with the color distribution shifting slightly over the range of calculated
<inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M463" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.36–0.46 <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Note that the most extreme values in <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the KORUS-OC data set are related to shorter
<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> than the rest of the data set.</p>
      <p id="d1e5827">Schuster et al. (2006) used this type of coefficient mapping to distinguish different aerosol size distributions via curvature that otherwise exhibit
the same <inline-formula><mml:math id="M467" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>. In particular, while fine-mode aerosols exhibit negative curvature, the presence of sufficient coarse-mode aerosols in a bimodal
size distribution induces positive curvature due to the efficient extinction of light at longer wavelengths by larger particles. Here, the inlet
limited the size range of sampled aerosol to the submicron fraction, such that positive curvature is not expected. Aerosol size distributions were not
measured aboard ship during the cruise, but as described in Sect. 3.1, previously published work provides sufficient information for a broad
characterization of the different ambient aerosol populations prevalent during the three meteorological regimes that occurred during KORUS-OC. This
context is used to assess the mapping of SpEx data into (<inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space. For clarity, the 60 <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> mean spectra data are used (Fig. 10).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e5870">Coefficients <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from second-order polynomial fits to the full wavelength range (0.3–0.7 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) of the 60 <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> mean spectra colored by <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M476" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M477" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.3–0.7 <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <bold>(a)</bold>, <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">ext</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (0.532 <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <bold>(c)</bold>, and the defined meteorological periods described in Peterson et al. (2019) <bold>(b)</bold> (i.e., excluding the interval when the meteorological regime was in transition, 23 and 24 May, and hence undefined). Panel <bold>(d)</bold> is the same as panel <bold>(b)</bold> but with the Transport/Haze samples split between those measured to the east (25–27 May) and west (29–31 May) of the peninsula, excluding those samples collected in transit between the two.</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/695/2021/amt-14-695-2021-f10.png"/>

      </fig>

      <?pagebreak page708?><p id="d1e6004">In addition to the evident separation in <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> across (<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space (Figs. 9 and 10a) there is also clear separation as a
function of aerosol loading using <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(0.532 <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) as a proxy for ambient aerosol concentrations (Fig. 10c). High
concentrations (<inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(0.532 <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M488" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) exhibit a relatively small range of <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
values. Generally, these spectra exhibit the greatest curvature (i.e., largest absolute values of <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for any given <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). In contrast, low
concentrations (<inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(0.532 <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M496" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 75 <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) span a wide range of values in <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. As described
in Sect. 3.1 there were three distinct meteorological regimes during the cruise (Peterson et al., 2019) that led to different ambient aerosol
populations. Hence, the separation in aerosol loading should not be viewed as a function of loading for a uniform aerosol population but rather as an
artifact of the differing size distributions and, to a lesser extent, composition.</p>
      <p id="d1e6214">The (<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) map separated according to the defined meteorological regimes reveals strikingly different distributions for the three periods
(Fig. 10b). The spectra during the Stagnant period (predominantly submicron aerosols, where <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M503" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Jordan et al.,
2020, dominated by locally produced SOA, Kim et al., 2018; Nault et al., 2018; Peterson et al., 2019; Choi et al., 2019; Jordan et al., 2020) produced a remarkably narrow range of <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values that essentially lie along a single
<inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> line (<inline-formula><mml:math id="M508" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.5) for the 60 <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> mean spectra set. In contrast, the spectra during the Blocking period (likely small
absorbing aerosols from relatively fresh ship emissions) exhibit a wide range in <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values with values of <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
generally <inline-formula><mml:math id="M513" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1.6. However, <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for this group also span the full range of observed <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> primarily when the
absolute value of <inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was small (<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula>). The large variability of this group may be due in part to the low extinctions
where the sensitivity of <inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to uncertainty in <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is greatest. It may also reflect the heterogeneity of aerosol
sources encountered in the marine boundary layer as the ship cruised around the West Sea during this period.</p>
      <p id="d1e6432">Finally, the period when aerosol concentrations were highest, Transport/Haze, exhibits the same range in <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as the Stagnant aerosols but with
greater curvature (i.e., larger absolute values of <inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Fig. 10b). During this period the meteorological conditions that transported polluted air
masses eastward from China also created conditions that promoted rapid secondary inorganic aerosol production locally over the S. Korean peninsula
(Peterson et al., 2019; Eck et al., 2020; Jordan et al., 2020) that resulted in the growth of fine-mode aerosols to larger sizes
(<inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M523" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Eck et al., 2020; Jordan et al., 2020) than observed during the Stagnant period. During the first half of the
Transport/Haze period the ship<?pagebreak page709?> was downwind of S. Korea in the East Sea, while during the second half it was upwind in the West Sea. Splitting the
data from this period to reflect the position of the ship (Fig. 10d) shows that the highest concentrations of aerosols were observed downwind of
S. Korea and exhibited the greatest curvature and the lowest <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. This result indicates larger particle sizes were present downwind
than upwind, consistent with the reported changes in aerosol size distribution due to local production over the Korean peninsula (Eck et al., 2020; Jordan et al., 2020). The upwind distribution resembles the narrow Stagnant distribution in (<inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space but shifted to a slightly lower <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e6531">It is interesting to contrast the range in curvature between the three periods. As shown in Fig. 6, <inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreases as the fit range
is extended to shorter wavelengths. This is due to the curvature evident in the UV range of Fig. 7 which is not adequately captured by fits to the
longer wavelength subranges. In that instance (an individual spectrum from the Stagnant period),
<inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(0.45–0.632 <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M532" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3, whereas <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>(0.3–0.7 <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M535" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.04. The greatest curvature
tends to be found for the period with the largest particles observed during the campaign, while for the period when the particles were likely to be
smallest, the UV curvature is small or absent, leading to larger <inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. 10). In addition, the largest absolute values of
<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula>) found in the individual spectra (Fig. 9) arise from partial spectra where the longer wavelengths of a measured
spectrum are below detection. Spectral fits were limited to only above-detection portions of the measured spectrum. This is why the <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for these spectra shift to shorter wavelengths. These spectra are those for which scattering and extinction were observed to be
low; hence, the spectral fit is subject to greater uncertainty. This accounts for the finding that some of the fine-fraction Blocking period aerosols
exhibit curvature as large as the other two periods, as well as the limited negative curvature (<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>≤</mml:mo><mml:mi mathvariant="normal">|</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">|</mml:mi></mml:mrow></mml:math></inline-formula>) and, in a few cases,
slightly positive curvature (<inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, Figs. 9 and 10). Note that partial spectra are not suitable for retrievals (i.e., comparable to those from
AERONET Level 2 data where at a minimum above-detection values must be available from at least the 0.38, 0.50, and 0.87 <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> channels to
ensure nonlinearity in the spectrum is adequately represented). However, partial spectra can be valuable for other analyses such as when combined with
absorption coefficients in the calculation of <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to look for<?pagebreak page710?> structure in the above-detection range for SpEx, particularly in the UV
(see Part 2, Jordan et al., 2021). Hence, partial spectra data are not discarded from further examination.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e6725">This work, Part 1 of 2, examined the high-temporal-resolution data set (IN101, TAP, and SpEx) collected as part of the in situ aerosol measurement suite deployed aboard the R/V <italic>Onnuri</italic> for the KORUS-OC cruise. IN101 scattering (<inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and TAP absorption
(<inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) coefficients were measured at three visible wavelengths throughout the cruise, with single-scattering albedo (<inline-formula><mml:math id="M546" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>)
calculated from them. These data were presented to provide an overview of the in situ aerosol measurements throughout the cruise within the context of
the prevalent meteorological regimes previously reported for the KORUS-AQ field campaign (Peterson et al., 2019; Jordan et al., 2020). The cruise
took place during three distinct meteorological periods where (1) stagnant conditions fostered local (S. Korean) production of secondary organic aerosol,
(2) transport from China coupled with local overcast and humid hazy conditions led to secondary production of inorganic aerosol with rapid growth of
fine-mode aerosols to larger particle sizes, and (3) a blocking period with limited transport following a frontal passage dramatically reduced
aerosol concentrations. Results presented here suggest the aerosols observed aboard R/V <italic>Onnuri</italic> during this final period were likely
relatively fresh small particles from ship emissions into the marine boundary layer. The largest values of <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were observed when the ship was downwind of the Korean peninsula in the East Sea during the Transport/Haze period. The smallest
values of <inline-formula><mml:math id="M549" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> were found when the ship was upwind of the peninsula in the West Sea, with low values arising from reductions in scattering rather
than increases in absorption.</p>
      <p id="d1e6793">Extinction coefficients (<inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) calculated from the three visible wavelength <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>scat</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> data were
used to evaluate the performance of SpEx under field conditions that offered a wide range of concentrations, particles sizes, and
composition. Excellent agreement was found for all three wavelengths with slopes equal to 1.020 <inline-formula><mml:math id="M553" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002, 0.998 <inline-formula><mml:math id="M554" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.003, and
1.057 <inline-formula><mml:math id="M555" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.004 with <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M557" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.981, 0.969, and 0.942 for the 450, 532, and 632 <inline-formula><mml:math id="M558" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> channels, respectively. A lower limit of detection
of 10 <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was determined for the individual spectral measurements (twice the SD of the measurement) that can be reduced via standard error
of the means when averaging spectra over longer sampling intervals. The broad spectral range (300–700 <inline-formula><mml:math id="M560" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) and fine spectral resolution
(0.8 <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) provided an opportunity to examine the wavelength dependence of the spectra for a diverse set of in situ ambient aerosols. Nearly all
of the measured spectra exhibited curvature in logarithmic space such that second-order polynomials provided a better fit to the data than the usual
linear fit of a power law representation. With either fit, evidence was presented to highlight the large deviation of an extrapolated value for
<inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> beyond the fit wavelength range. This finding highlights the need for measurements that extend well into the UV, thereby
limiting the need for extrapolated estimates of <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in that part of the spectrum.</p>
      <p id="d1e6930">A comparison to a previous study of spectral curvature based on Mie calculations and remote sensing data from AERONET (Schuster et al., 2006) revealed
the wavelength dependence that relates the Ångström exponent (<inline-formula><mml:math id="M564" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) to the second-order polynomial coefficients (<inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The
characteristic wavelength (<inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of any given data set needs to be taken into account when comparing spectral curvature coefficients
across data sets. Mapping the fit coefficients shows that any given <inline-formula><mml:math id="M568" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> representation can be separated along a line in (<inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) with a
slope of <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mtext>LN</mml:mtext><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mtext>ch</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> such that spectral curvature can be used to obtain more detailed information about aerosol size
distribution. The work of Schuster et al. (2006) was directed to distinguishing different bimodal size distributions on the basis of the presence of
coarse-fraction aerosols. Here, only fine-mode aerosols were sampled; nonetheless, the separation found in (<inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) space across the KORUS-OC
data set suggests that curvature may be used to infer more detailed size distribution information even within the fine mode alone. Size distributions
were not measured aboard the R/V <italic>Onnuri</italic>, so such a study will require future ambient measurements to fill this data gap.</p>
      <p id="d1e7049">In Part 2 (Jordan et al., 2021), the methodology used for the filter analyses from the KORUS-OC in situ aerosol measurement suite is described with
an overview of the results provided. The data from those filters include total aerosol <inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> spectra (300–700 <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) from glass
fiber filters placed in the center of an integrating sphere, soluble aerosol absorption coefficient spectra (300–700 <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) from deionized water
(<inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>DI-abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and methanol (<inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>MeOH-abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) extracts of Teflon filters measured with a liquid waveguide capillary cell,
water-soluble inorganic ion (WSII) concentrations via ion chromatography, and water-soluble organic compounds (WSOCs) that contribute to the aerosol
measured using an aerosol mass spectrometer. The combination of filter-based <inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>abs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> spectra (300–700 <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) with the SpEx
<inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>ext</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> spectra set, allows for the calculation of spectral <inline-formula><mml:math id="M582" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> (300–700 <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) for in situ aerosols. Part 2 includes a
similar examination of power law and second-order polynomial representations of all four of the in situ aerosol hyperspectral data sets obtained during
KORUS-OC. It also explores relationships between the optical properties and water-soluble composition information within the meteorological context of
KORUS-AQ following the discussion presented here in Part 1.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e7151">All data presented here are available from the NASA Langley Research Center Airborne Science Data for Atmospheric Composition KORUS-AQ data archive (DOI: <ext-link xlink:href="https://doi.org/10.5067/Suborbital/KORUSAQ/DATA01" ext-link-type="DOI">10.5067/Suborbital/KORUSAQ/DATA01</ext-link>; see the R/V <italic>Onnuri</italic> Ship tab, NASA, 2020).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e7160">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-14-695-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-14-695-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7169">CEJ led the experiment, analyzed the data, and wrote the manuscript. CEJ, BEA, LDZ, CHH, KLT, ELW, RFM, MAS, AJB, and CER built
elements of the hardware, software, and deployment measurement system and assisted in the laboratory at NASA LaRC. CEJ, BEA, AJB, and CAC participated
in the field work. RMS, BTL, and MAT deployed with the measurement suite aboard the R/V <italic>Onnuri</italic>, collected filter samples, and contributed
to the manuscript. GLS, RHM, LDZ, BEA, ECC, MAS, RMS, AJB, and CAC contributed to the data analysis and the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7178">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7184">The authors gratefully acknowledge the support of the KORUS-OC and KORUS-AQ science teams and the outstanding support provided by our South Korean partners at the Korean Institute for Ocean Science and Technology (KIOST).  The authors particularly thank Anne Thompson for her support throughout this study and Fred Brechtel and Vanderlei Martins for helpful discussions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7189">This research has been supported by a NASA/NIA cooperative agreement (NNL09AA00A) and a NASA grant (NNX16AD60G) through the Geostationary Coastal and Air Pollution Events (GEO-CAPE) mission pre-formulation studies.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7195">This paper was edited by John Sullivan and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Al-Saadi, J., Carmichael, G., Crawford, J., Emmons, L., Kim, S., Song, C.-K., Chang, L.-S., Lee, G., Kim, J., and Park, R.:
NASA Contributions to KORUS-AQ: An International Cooperative Air Quality Field Study in Korea, 32 pp., available at: <uri>https://espo.nasa.gov/home/korus-aq/content/KORUS-AQ_Science_Overview_0</uri>, last access: 4 November 2015.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 2?><mixed-citation>Anderson, T. L. and Ogren, J. A.:
Determining aerosol radiative properties using the TSI 3563 integrating nephelometer,
Aerosol Sci. Technol.,
29, 57–69, <ext-link xlink:href="https://doi.org/10.1080/02786829808965551" ext-link-type="DOI">10.1080/02786829808965551</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 3?><mixed-citation>
Ångström, A.:
On the atmospheric transmission of sun radiation and on dust in the air (1929),
in: Selected papers on scattering in the atmosphere, SPIE Milestone Series, vol. 11,
edited by: Bohren, C.,
SPIE, 156–166, 1989.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 4?><mixed-citation>Bluvshtein, N., Flores, J. M., Segev, L., and Rudich, Y.: A new approach for retrieving the UV–vis optical properties of ambient aerosols, Atmos. Meas. Tech., 9, 3477–3490, <ext-link xlink:href="https://doi.org/10.5194/amt-9-3477-2016" ext-link-type="DOI">10.5194/amt-9-3477-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 5?><mixed-citation>Bluvshtein, N., Lin, P., Flores, J. M., Segev, L., Mazar, Y., Tas, E., Snider, G., Weagle, C., Brown, S. S., Laskin, A., and Rudich, Y.:
Broadband optical properties of biomass-burning aerosol and identification of brown carbon chromophores,
J. Geophys. Res.-Atmos.,
122, 5441–5456, <ext-link xlink:href="https://doi.org/10.1002/2016JD026230" ext-link-type="DOI">10.1002/2016JD026230</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 6?><mixed-citation>Chartier, R. T. and Greenslade, M. E.: Initial investigation of the wavelength dependence of optical properties measured with a new multi-pass Aerosol Extinction Differential Optical Absorption Spectrometer (AE-DOAS), Atmos. Meas. Tech., 5, 709–721, <ext-link xlink:href="https://doi.org/10.5194/amt-5-709-2012" ext-link-type="DOI">10.5194/amt-5-709-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 7?><mixed-citation>Choi, J., Park, R. J., Lee, H. M., Lee, S., Jo, D. S., Jeong, J. I., Henze, D. K., Woo, J. H., Ban, S. J., Lee, M. D., Lim, C. S., Park, M. K., Shin, H. J., Cho, S., Peterson, D., and Song, C. K.:
Impacts of local vs. trans-boundary emissions from different sectors on <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exposure in South Korea during the KORUS-AQ campaign,
Atmos. Environ.,
203, 196–205, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.02.008" ext-link-type="DOI">10.1016/j.atmosenv.2019.02.008</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 8?><mixed-citation>
Crawford, J. H., Ahn, J.-Y., Al-Saadi, J., Chang, L., Emmons, L. K., Kim, J., Lee, G., Park, J.-H., Park, R., Woo, J. H., Lefer, B. L., Lee, M., Lee, T., Kim, S., Min, K.-E., Yum, S. S., Szykman, J. J., Jordan, C. E., Simpson, I. J., Fried, A., Cho, S., and Kim, Y. P.: The Korea–United States Air Quality (KORUS-AQ) field study, Elementa: Science of the Anthropocene, submitted, 2020.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 9?><mixed-citation>
Eck, T. F., Holben, B. N., Reid, J. S., Dubovik, O., Smirnov, A., O'Neill, N. T., Slutsker, I., and Kinne, S.:
Wavelength dependence of the optical depth of biomass burning, urban, and desert dust aerosols,
J. Geophys. Res.,
104, 31333–31349, 1999.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 10?><mixed-citation>
Eck, T. F., Holben, B. N., Dubovik, O., Smirnov, A., Slutsker, I., Lobert, J. M., and Ramanathan, V.:
Column-integrated aerosol optical properties over the Maldives during the northeast monsoon for 1998–2000,
J. Geophys. Res.,
106, 28555–28566, 2001a.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 11?><mixed-citation>
Eck, T. F., Holben, B. N., Ward, D. E., Dubovik, O., Reid, J. S., Smirnov, A., Mukelabai, M. M., Hsu, N. C., O'Neill, N. T., and Slutsker, I.:
Characterization of the optical properties of biomass burning aerosols in Zambia during the 1997 ZIBBEE field campaign,
J. Geophys. Res.,
106, 3425–3448, 2001b.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 12?><mixed-citation>Eck, T. F., Holben, B. N., Ward, D. E., Mukelabai, M. M., Dubovik, O., Smirnov, A., Schafer, J. S., Hsu, N. C., Piketh, S. J., Queface, A., Le Roux, J., Swap, R. J., and Slutsker, I.:
Variability of biomass burning aerosol optical characteristics in southern Africa during the SAFARI 2000 dry season campaign and a comparison of single scattering albedo estimates from radiometric measurements,
J. Geophys. Res.,
108, 8477, <ext-link xlink:href="https://doi.org/10.1029/2002JD002321" ext-link-type="DOI">10.1029/2002JD002321</ext-link>, 2003a.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 13?><mixed-citation>Eck, T. F., Holben, B. N., Ward, D. E., Mukelabai, M. M., Dubovik, O., Smirnov, A., Schafer, J. S., Hsu, N. C., Piketh, S. J., Queface, A., Le Roux, J., Swap, R. J., and Slutsker, I.:
Correction to “Variability of biomass burning aerosol optical characteristics in southern Africa during the SAFARI 2000 dry season campaign and a comparison of single scattering albedo estimates from radiometric measurements” by T. F. Eck et al.,
J. Geophys. Res.,
108, 8500, <ext-link xlink:href="https://doi.org/10.1029/2003JD001606" ext-link-type="DOI">10.1029/2003JD001606</ext-link>, 2003b.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 14?><mixed-citation>Eck, T. F., Holben, B. N., Kim, J., Beyersdorf, A. J., Choi, M., Lee, S., Koo, J. H., Giles, D. M., Schafer, J. S., Sinyuk, A., Peterson, D. A., Reid, J. S., Arola, A., Slutsker, I<?pagebreak page712?>., Smirnov, A., Sorokin, M., Kraft, J., Crawford, J. H., Anderson, B. E., Thornhill, K. L., Diskin, G., Kim, S. W., and Park, S.:
Influence of cloud, fog, and high relative humidity during pollution transport events in South Korea: aerosol properties and <inline-formula><mml:math id="M585" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability,
Atmos. Environ.,
232, 117530, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2020.117530" ext-link-type="DOI">10.1016/j.atmosenv.2020.117530</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 15?><mixed-citation>Fu, G., Hasekamp, O., Rietjens, J., Smit, M., Di Noia, A., Cairns, B., Wasilewski, A., Diner, D., Seidel, F., Xu, F., Knobelspiesse, K., Gao, M., da Silva, A., Burton, S., Hostetler, C., Hair, J., and Ferrare, R.: Aerosol retrievals from different polarimeters during the ACEPOL campaign using a common retrieval algorithm, Atmos. Meas. Tech., 13, 553–573, <ext-link xlink:href="https://doi.org/10.5194/amt-13-553-2020" ext-link-type="DOI">10.5194/amt-13-553-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 16?><mixed-citation>Giles, D. M., Sinyuk, A., Sorokin, M. G., Schafer, J. S., Smirnov, A., Slutsker, I., Eck, T. F., Holben, B. N., Lewis, J. R., Campbell, J. R., Welton, E. J., Korkin, S. V., and Lyapustin, A. I.: Advancements in the Aerosol Robotic Network (AERONET) Version 3 database – automated near-real-time quality control algorithm with improved cloud screening for Sun photometer aerosol optical depth (AOD) measurements, Atmos. Meas. Tech., 12, 169–209, <ext-link xlink:href="https://doi.org/10.5194/amt-12-169-2019" ext-link-type="DOI">10.5194/amt-12-169-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 17?><mixed-citation>Hasekamp, O. P., Fu, G., Rusli, S. P., Wu, L., Di Noia, A., aan de Brugh, J., Landgraf, J., Smit, J. M., Rietjens, J., van Amerongen, A.:
Aerosol measurements by SPEXone on the NASA PACE mission: expected retrieval capabilities,
J. Quant. Spectrosc. Ra.,
227, 170–184, <ext-link xlink:href="https://doi.org/10.1016/j.jqsrt.2019.02.006" ext-link-type="DOI">10.1016/j.jqsrt.2019.02.006</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 18?><mixed-citation>He, Q., Bluvshtein, N., Segev, L., Meidan, D., Flores, J. M., Brown, S. S., Brune, W., and Rudich, Y.:
Evolution of the Complex Refractive Index of Secondary Organic Aerosols during Atmospheric Aging,
Environ. Sci. Technol.,
52, 3456-3465, <ext-link xlink:href="https://doi.org/10.1021/acs.est.7b05742" ext-link-type="DOI">10.1021/acs.est.7b05742</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 19?><mixed-citation>Jordan, C. E., Anderson, B. E., Beyersdorf, A. J., Corr, C. A., Dibb, J. E., Greenslade, M. E., Martin, R. F., Moore, R. H., Scheuer, E., Shook, M. A., Thornhill, K. L., Troop, D., Winstead, E. L., and Ziemba, L. D.: Spectral aerosol extinction (SpEx): a new instrument for in situ ambient aerosol extinction measurements across the UV/visible wavelength range, Atmos. Meas. Tech., 8, 4755–4771, <ext-link xlink:href="https://doi.org/10.5194/amt-8-4755-2015" ext-link-type="DOI">10.5194/amt-8-4755-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 20?><mixed-citation>Jordan, C. E., Crawford, J. H., Beyersdorf, A. J., Eck, T. F., Halliday, H. S., Nault, B. A., Chang, L.-S., Park, J., Park, R., Lee, G., Kim, H., Ahn, J-Y., Cho, S., Shin, H. J., Lee, J. H., Jung, J., Kim, D.-S., Lee, M., Lee, T., Whitehill, A., Szykman, J., Schueneman, M. K., Campuzano-Jost, P., Jimenez, J. L., DiGangi, J. P., Diskin, G. S., Anderson, B. E., Moore, R. H., Ziemba, L. D., Fenn, M. A., Hair, J. W., Kuehn, R. E., Holz, R. E., Chen, G., Travis, K., Shook, M., Peterson, D. A., Lamb, K. D., and Schwarz, J. P.:
Investigation of factors controlling <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability across the South Korean Peninsula during KORUS-AQ,
Elementa: Science of the Anthropocene,
8, 28, <ext-link xlink:href="https://doi.org/10.1525/elementa.424" ext-link-type="DOI">10.1525/elementa.424</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 21?><mixed-citation>Jordan, C. E., Stauffer, R. M., Lamb, B. T., Novak, M., Mannino, A., Crosbie, E. C., Schuster, G. L., Moore, R. H., Hudgins, C. H., Thornhill, K. L., Winstead, E. L., Anderson, B. E., Martin, R. F., Shook, M. A., Ziemba, L. D., Beyersdorf, A. J., Robinson, C. E., Corr, C. A., and Tzortziou, M. A.: New in situ aerosol hyperspectral optical measurements over 300–700 nm – Part 2: Extinction, total absorption, water- and methanol-soluble absorption observed during the KORUS-OC cruise, Atmos. Meas. Tech., 14, 715–736, <ext-link xlink:href="https://doi.org/10.5194/amt-14-715-2021" ext-link-type="DOI">10.5194/amt-14-715-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 22?><mixed-citation>Kaku, K. C., Reid, J. S., O'Neill, N. T., Quinn, P. K., Coffman, D. J., and Eck, T. F.: Verification and application of the extended spectral deconvolution algorithm (SDA+) methodology to estimate aerosol fine and coarse mode extinction coefficients in the marine boundary layer, Atmos. Meas. Tech., 7, 3399–3412, <ext-link xlink:href="https://doi.org/10.5194/amt-7-3399-2014" ext-link-type="DOI">10.5194/amt-7-3399-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 23?><mixed-citation>Kaskaoutis, D. G., Kalapureddy, M. C. R., Krishna Moorthy, K., Devara, P. C. S., Nastos, P. T., Kosmopoulos, P. G., and Kambezidis, H. D.: Heterogeneity in pre-monsoon aerosol types over the Arabian Sea deduced from ship-borne measurements of spectral AODs, Atmos. Chem. Phys., 10, 4893–4908, <ext-link xlink:href="https://doi.org/10.5194/acp-10-4893-2010" ext-link-type="DOI">10.5194/acp-10-4893-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 24?><mixed-citation>Kaskaoutis, D. G., Kumar Kharol, S., Sinha, P. R., Singh, R. P., Kambezidis, H. D., Rani Sharma, A., and Badarinath, K. V. S.: Extremely large anthropogenic-aerosol contribution to total aerosol load over the Bay of Bengal during winter season, Atmos. Chem. Phys., 11, 7097–7117, <ext-link xlink:href="https://doi.org/10.5194/acp-11-7097-2011" ext-link-type="DOI">10.5194/acp-11-7097-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 25?><mixed-citation>
Kaufman, Y. J.:
Aerosol optical thickness and atmospheric path radiance,
J. Geophys. Res.,
98, 2677–2692, 1993.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 26?><mixed-citation>Kim, H., Zhang, Q., and Heo, J.: Influence of intense secondary aerosol formation and long-range transport on aerosol chemistry and properties in the Seoul Metropolitan Area during spring time: results from KORUS-AQ, Atmos. Chem. Phys., 18, 7149–7168, <ext-link xlink:href="https://doi.org/10.5194/acp-18-7149-2018" ext-link-type="DOI">10.5194/acp-18-7149-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 27?><mixed-citation>
King, M. D. and Byrne, D. M.:
A method for inferring total ozone content from the spectral variation of total optical depth obtained with a solar radiometer,
J. Atmos. Sci.,
33, 2242–2251, 1976.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 28?><mixed-citation>
King, M. D., Byrne, D. M., Herman, B. M., and Reagan, J. A.:
Aerosol size distributions obtained by inversion of spectral optical depth measurements,
J. Atmos. Sci.,
35, 2153–2167, 1978.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 29?><mixed-citation>LeBlanc, S. E., Redemann, J., Flynn, C., Pistone, K., Kacenelenbogen, M., Segal-Rosenheimer, M., Shinozuka, Y., Dunagan, S., Dahlgren, R. P., Meyer, K., Podolske, J., Howell, S. G., Freitag, S., Small-Griswold, J., Holben, B., Diamond, M., Wood, R., Formenti, P., Piketh, S., Maggs-Kölling, G., Gerber, M., and Namwoonde, A.: Above-cloud aerosol optical depth from airborne observations in the southeast Atlantic, Atmos. Chem. Phys., 20, 1565–1590, <ext-link xlink:href="https://doi.org/10.5194/acp-20-1565-2020" ext-link-type="DOI">10.5194/acp-20-1565-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 30?><mixed-citation>Moosmüller, H. and Chakrabarty, R. K.: Technical Note: Simple analytical relationships between Ångström coefficients of aerosol extinction, scattering, absorption, and single scattering albedo, Atmos. Chem. Phys., 11, 10677–10680, <ext-link xlink:href="https://doi.org/10.5194/acp-11-10677-2011" ext-link-type="DOI">10.5194/acp-11-10677-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>NASA: KORUS-AQ – An International Cooperative Air Quality Field Study in Korea, NASA Langley Research Center Airborne Science Data for Atmospheric Composition, KORUS-AQ data archive, <ext-link xlink:href="https://doi.org/10.5067/Suborbital/KORUSAQ/DATA01" ext-link-type="DOI">10.5067/Suborbital/KORUSAQ/DATA01</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 31?><mixed-citation>Nault, B. A., Campuzano-Jost, P., Day, D. A., Schroder, J. C., Anderson, B., Beyersdorf, A. J., Blake, D. R., Brune, W. H., Choi, Y., Corr, C. A., de Gouw, J. A., Dibb, J., DiGangi, J. P., Diskin, G. S., Fried, A., Huey, L. G., Kim, M. J., Knote, C. J., Lamb, K. D., Lee, T., Park, T., Pusede, S. E., Scheuer, E., Thornhill, K. L., Woo, J.-H., and Jimenez, J. L.: Secondary organic aerosol production from local emissions dominates the organic aerosol budget over Seoul, South Korea, during KORUS-AQ, Atmos. Chem. Phys., 18, 17769–17800, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17769-2018" ext-link-type="DOI">10.5194/acp-18-17769-2018</ext-link>, 2018.</mixed-citation></ref>
      <?pagebreak page713?><ref id="bib1.bib33"><label>33</label><?label 32?><mixed-citation>
O'Neill, N. T., Dubovik, O., and Eck, T. F.:
Modified Ångström exponent for the characterization of submicrometer aerosols,
Appl. Optics,
40, 2368–2375, 2001.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 33?><mixed-citation>O'Neill, N. T., Eck, T. F., Smirnov, A., Holben, B. N., and Thulasiraman S.:
Spectral discrimination of coarse and fine mode optical depth,
J. Geophys. Res.-Atmos.,
108, 4559, <ext-link xlink:href="https://doi.org/10.1029/2002JD002975" ext-link-type="DOI">10.1029/2002JD002975</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 34?><mixed-citation>O'Neill, N. T., Eck, T. F., Reid, J. S., Smirnov, A., and Pancrati, O.:
Coarse mode optical information retrievable using ultraviolet to short-wave infrared Sun photometry: Application to United Arab Emirates Unified Aerosol Experiment data,
J. Geophys. Res.-Atmos.,
113, D05212, <ext-link xlink:href="https://doi.org/10.1029/2007JD009052" ext-link-type="DOI">10.1029/2007JD009052</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 35?><mixed-citation>Ogren, J. A., Wendell, J., Andrews, E., and Sheridan, P. J.: Continuous light absorption photometer for long-term studies, Atmos. Meas. Tech., 10, 4805–4818, <ext-link xlink:href="https://doi.org/10.5194/amt-10-4805-2017" ext-link-type="DOI">10.5194/amt-10-4805-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 36?><mixed-citation>Peterson, D. A., Hyer, E. J., Han, S.-O., Crawford, J. H., Park, R. J., Holz, R., Kuehn, R. E., Eloranta, E., Knote, C., Jordan, C. E., and Lefer, B. L.:
Meteorology influencing springtime air quality, pollution transport, and visibility in Korea,
Elementa: Science of the Anthropocene,
7, 57, <ext-link xlink:href="https://doi.org/10.1525/elementa.395" ext-link-type="DOI">10.1525/elementa.395</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 37?><mixed-citation>Rao, B. M. and Niranjan, K.:
Optical properties of the South Asian winter haze at a tropical coastal site in India,
Atmos. Environ.,
54, 449–455, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2012.02.016" ext-link-type="DOI">10.1016/j.atmosenv.2012.02.016</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 38?><mixed-citation>
Reid, J. S., Eck, T. F., Christopher, S. A., Hobbs, P. V., and Holben, B.:
Use of the Ångstrom exponent to estimate the variability of optical and physical properties of aging smoke particles in Brazil,
J. Geophys. Res.,
104, 27473–27489, 1999.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 39?><mixed-citation>Remer, L. A., Davis, A. B., Mattoo, S., Levy, R. C., Kalashnikova, O. V., Coddington, O., Chowdhary, J., Knobelspiesse, K., Xu, X., Ahmad, Z., Boss, E., Cairns, B., Dierssen, H. M., Diner, D. J., Franz, B., Frouin, R., Gao, B.-C., Ibrahim, A., Martins, J. V., Omar, A. H., Torres, O., Xu, F., and Zhai, P.-W.:
Retrieving Aerosol Characteristics From the PACE Mission, Part 1: Ocean Color Instrument,
Front. Earth Sci.,
7, 152, <ext-link xlink:href="https://doi.org/10.3389/feart.2019.00152" ext-link-type="DOI">10.3389/feart.2019.00152</ext-link>, 2019a.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 40?><mixed-citation>Remer, L. A., Knobelspiesse, K., Zhai, P.-W., Xu, F., Kalashnikova, O. V., Chowdhary, J., Hasekamp, O., Dubovik, O., Wu, L., Ahmad, Z., Boss, E., Cairns, B., Coddington, O., Davis, A. B., Dierssen, H. M., Diner, D. J., Franz, B., Frouin, R., Gao, B.-C., Ibrahim, A., Levy, R. C., Martins, J. V., Omar, A. H., and Torres, O.:
Retrieving Aerosol Characteristics From the PACE Mission, Part 2: Multi-Angle and Polarimetry,
Front. Environ. Sci.,
7, 94, <ext-link xlink:href="https://doi.org/10.3389/fenvs.2019.00094" ext-link-type="DOI">10.3389/fenvs.2019.00094</ext-link>, 2019b.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib42"><label>42</label><?label 41?><mixed-citation>Schuster, G. L., Dubovik, O., and Holben, B. N.:
Angstrom exponent and bimodal aerosol size distributions,
J. Geophys. Res.,
111, D07207, <ext-link xlink:href="https://doi.org/10.1029/2005JD006328" ext-link-type="DOI">10.1029/2005JD006328</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 42?><mixed-citation>Smit, J. M., Rietjens, J. H. H., van Harten, G., Noia, A. D., Laauwen, W., Rheingans, B. E., Diner, D. J., Cairns, B., Wasilewski, A., Knobelspiesse, K. D., Ferrare, R., and Hasekamp, O. P.:
SPEX airborne spectropolarimeter calibration and performance,
Appl. Optics,
58, 5695–5719, <ext-link xlink:href="https://doi.org/10.1364/AO.58.005695" ext-link-type="DOI">10.1364/AO.58.005695</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 43?><mixed-citation>Thompson, A. M., Stauffer, R. M., Boyle, T. P., Kollonige, D. E., Miyazaki, K., Tzortziou, M., Herman, J. R., Abuhassan, N., Jordan, C. E., and Lamb, B. T.:
Comparison of near surface <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution with Pandora total column <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the Korea-United States Ocean Color (KORUS OC) Campaign,
J. Geophys. Res.-Atmos.,
124, 13560–13575, <ext-link xlink:href="https://doi.org/10.1029/2019JD030765" ext-link-type="DOI">10.1029/2019JD030765</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 44?><mixed-citation>Tzortziou, M., Parker, O., Lamb, B., Herman, J., Lamsal, L., Stauffer, R., and Abuhassan, N.:
Atmospheric trace gas (<inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) variability in Korean coastal waters, implications for remote sensing of coastal ocean color dynamics,
Remote Sens.-Basel,
10, 1587, <ext-link xlink:href="https://doi.org/10.3390/rs10101587" ext-link-type="DOI">10.3390/rs10101587</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 45?><mixed-citation>US-Korean Steering Group:
Risk reduction measurements for GEO-CAPE: A US-Korea joint field campaign (US-Korea JFC) in the East Sea and Yellow Sea, 18 pages, available at: <uri>https://geo-cape.larc.nasa.gov/wp-content/uploads/sites/142/2020/08/KORUS_OC_WhitePaper_2016_Field_20150205_final.pdf</uri>,
last access: 29 October 2015.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 46?><mixed-citation>Washenfelder, R. A., Flores, J. M., Brock, C. A., Brown, S. S., and Rudich, Y.: Broadband measurements of aerosol extinction in the ultraviolet spectral region, Atmos. Meas. Tech., 6, 861–877, <ext-link xlink:href="https://doi.org/10.5194/amt-6-861-2013" ext-link-type="DOI">10.5194/amt-6-861-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 47?><mixed-citation>Washenfelder, R. A., Attwood, A. R., Brock, C. A., Guo, H., Xu, L., Weber, R. J., Ng, N. L., Allen, H. M., Ayres, B. R., Baumann, K., Cohen, R. C., Draper, D. C., Duffey, K. C., Edgerton, E., Fry, J. L., Hu, W. W., Jimenez, J. L., Palm, B. B., Romer, P., Stone, E. A., Wooldridge, P. J., and Brown, S. S.:
Biomass burning dominates brown carbon absorption in the rural southeastern United States,
Geophys. Res. Lett.,
42, 653–664, <ext-link xlink:href="https://doi.org/10.1002/2014GL062444" ext-link-type="DOI">10.1002/2014GL062444</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 48?><mixed-citation>Werdell, P. J., Behrenfeld, M. J., Bontempi, P. S., Boss, E., Cairns, B., Davis, G. T., Franz, B. A., Gliese, U. B., Gorman, E. T., Hasekamp, O., Knobelspiesse, K. D., Mannino, A., Martins, J. V., McClain, C. R., Meister, G., and Remer, L. A.:
The Plankton, Aerosol, Cloud, ocean Ecosystem mission status, science, advances,
B. Am. Meteorol. Soc.,
1775–1794, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-18-0056.1" ext-link-type="DOI">10.1175/BAMS-D-18-0056.1</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 49?><mixed-citation>
White, J. U.:
Long optical paths of large aperture,
J. Opt. Soc. Am.,
32, 285–288, 1942.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>New in situ aerosol hyperspectral optical measurements over 300–700&thinsp;nm – Part 1: Spectral Aerosol Extinction (SpEx) instrument field validation during the KORUS-OC cruise</article-title-html>
<abstract-html><p>In situ observations of spectrally resolved aerosol extinction coefficients (300–700&thinsp;nm at  ∼ &thinsp;0.8&thinsp;nm resolution) from the
May–June 2016 Korea–United States Ocean Color (KORUS-OC) oceanographic field campaign are reported. Measurements were made with the custom-built Spectral
Aerosol Extinction (SpEx) instrument that previously has been characterized only using laboratory-generated aerosols of known size and
composition. Here, the performance of SpEx under realistic operating conditions in the field was assessed by comparison to extinction coefficients
derived from commercial instruments that measured scattering and filter-based absorption coefficients at three discrete visible wavelengths. Good
agreement was found between these two sets of extinction coefficients with slopes near unity for all three wavelengths within the SpEx measurement error
(±&thinsp;5&thinsp;Mm<sup>−1</sup>). The meteorological conditions encountered during the cruise fostered diverse ambient aerosol populations with varying
sizes and composition at concentrations spanning 2 orders of magnitude. The sampling inlet had a 50&thinsp;% size cut of 1.3&thinsp;µm diameter
particles such that the in situ aerosol sampling suite deployed aboard ship measured fine-mode aerosols only. The extensive hyperspectral extinction
data set acquired revealed that nearly all measured spectra exhibited curvature in logarithmic space, such that Ångström exponent (<i>α</i>)
power law fits could lead to large errors compared to measured values. This problem was particularly acute for <i>α</i> values calculated over only
visible wavelengths and then extrapolated to the UV, highlighting the need for measurements in this wavelength range. Second-order polynomial fits to
the logarithmically transformed data provided a much better fit to the measured spectra than the linear fits of power laws. Building on previous
studies that used total column aerosol optical depth observations to examine the information content of spectral curvature, the relationship between <i>α</i> and the second-order polynomial fit coefficients (<i>a</i><sub>1</sub> and <i>a</i><sub>2</sub>) was found to depend on the wavelength range of the spectral measurement such that any given <i>α</i> maps into a line in (<i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>) coefficient space with a slope of −2LN(<i>λ</i><sub>ch</sub>), where
<i>λ</i><sub>ch</sub> is defined as the single wavelength that characterizes the wavelength range of the measured spectrum (i.e., the
<q>characteristic wavelength</q>). Since the curvature coefficient values depend on <i>λ</i><sub>ch</sub>, it must be taken into account when comparing
values from spectra obtained from measurement techniques with different <i>λ</i><sub>ch</sub>. Previously published work has shown that different
bimodal size distributions of aerosols can exhibit the same <i>α</i> yet have differing spectral curvature with different (<i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>). This
implies that (<i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>) contain more information about size distributions than <i>α</i> alone. Aerosol size distributions were not measured
during KORUS-OC, and the data reported here were limited to the fine fraction, but the (<i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>) maps obtained from the SpEx data set are
consistent with the expectation that (<i>a</i><sub>1</sub>, <i>a</i><sub>2</sub>) may contain more information than <i>α</i> – a result that will be explored further with
future SpEx and size distribution data sets.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Al-Saadi, J., Carmichael, G., Crawford, J., Emmons, L., Kim, S., Song, C.-K., Chang, L.-S., Lee, G., Kim, J., and Park, R.:
NASA Contributions to KORUS-AQ: An International Cooperative Air Quality Field Study in Korea, 32 pp., available at: <a href="https://espo.nasa.gov/home/korus-aq/content/KORUS-AQ_Science_Overview_0" target="_blank"/>, last access: 4 November 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Anderson, T. L. and Ogren, J. A.:
Determining aerosol radiative properties using the TSI 3563 integrating nephelometer,
Aerosol Sci. Technol.,
29, 57–69, <a href="https://doi.org/10.1080/02786829808965551" target="_blank">https://doi.org/10.1080/02786829808965551</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Ångström, A.:
On the atmospheric transmission of sun radiation and on dust in the air (1929),
in: Selected papers on scattering in the atmosphere, SPIE Milestone Series, vol. 11,
edited by: Bohren, C.,
SPIE, 156–166, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Bluvshtein, N., Flores, J. M., Segev, L., and Rudich, Y.: A new approach for retrieving the UV–vis optical properties of ambient aerosols, Atmos. Meas. Tech., 9, 3477–3490, <a href="https://doi.org/10.5194/amt-9-3477-2016" target="_blank">https://doi.org/10.5194/amt-9-3477-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Bluvshtein, N., Lin, P., Flores, J. M., Segev, L., Mazar, Y., Tas, E., Snider, G., Weagle, C., Brown, S. S., Laskin, A., and Rudich, Y.:
Broadband optical properties of biomass-burning aerosol and identification of brown carbon chromophores,
J. Geophys. Res.-Atmos.,
122, 5441–5456, <a href="https://doi.org/10.1002/2016JD026230" target="_blank">https://doi.org/10.1002/2016JD026230</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Chartier, R. T. and Greenslade, M. E.: Initial investigation of the wavelength dependence of optical properties measured with a new multi-pass Aerosol Extinction Differential Optical Absorption Spectrometer (AE-DOAS), Atmos. Meas. Tech., 5, 709–721, <a href="https://doi.org/10.5194/amt-5-709-2012" target="_blank">https://doi.org/10.5194/amt-5-709-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Choi, J., Park, R. J., Lee, H. M., Lee, S., Jo, D. S., Jeong, J. I., Henze, D. K., Woo, J. H., Ban, S. J., Lee, M. D., Lim, C. S., Park, M. K., Shin, H. J., Cho, S., Peterson, D., and Song, C. K.:
Impacts of local vs. trans-boundary emissions from different sectors on PM<sub>2.5</sub> exposure in South Korea during the KORUS-AQ campaign,
Atmos. Environ.,
203, 196–205, <a href="https://doi.org/10.1016/j.atmosenv.2019.02.008" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.02.008</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Crawford, J. H., Ahn, J.-Y., Al-Saadi, J., Chang, L., Emmons, L. K., Kim, J., Lee, G., Park, J.-H., Park, R., Woo, J. H., Lefer, B. L., Lee, M., Lee, T., Kim, S., Min, K.-E., Yum, S. S., Szykman, J. J., Jordan, C. E., Simpson, I. J., Fried, A., Cho, S., and Kim, Y. P.: The Korea–United States Air Quality (KORUS-AQ) field study, Elementa: Science of the Anthropocene, submitted, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Eck, T. F., Holben, B. N., Reid, J. S., Dubovik, O., Smirnov, A., O'Neill, N. T., Slutsker, I., and Kinne, S.:
Wavelength dependence of the optical depth of biomass burning, urban, and desert dust aerosols,
J. Geophys. Res.,
104, 31333–31349, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Eck, T. F., Holben, B. N., Dubovik, O., Smirnov, A., Slutsker, I., Lobert, J. M., and Ramanathan, V.:
Column-integrated aerosol optical properties over the Maldives during the northeast monsoon for 1998–2000,
J. Geophys. Res.,
106, 28555–28566, 2001a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Eck, T. F., Holben, B. N., Ward, D. E., Dubovik, O., Reid, J. S., Smirnov, A., Mukelabai, M. M., Hsu, N. C., O'Neill, N. T., and Slutsker, I.:
Characterization of the optical properties of biomass burning aerosols in Zambia during the 1997 ZIBBEE field campaign,
J. Geophys. Res.,
106, 3425–3448, 2001b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Eck, T. F., Holben, B. N., Ward, D. E., Mukelabai, M. M., Dubovik, O., Smirnov, A., Schafer, J. S., Hsu, N. C., Piketh, S. J., Queface, A., Le Roux, J., Swap, R. J., and Slutsker, I.:
Variability of biomass burning aerosol optical characteristics in southern Africa during the SAFARI 2000 dry season campaign and a comparison of single scattering albedo estimates from radiometric measurements,
J. Geophys. Res.,
108, 8477, <a href="https://doi.org/10.1029/2002JD002321" target="_blank">https://doi.org/10.1029/2002JD002321</a>, 2003a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Eck, T. F., Holben, B. N., Ward, D. E., Mukelabai, M. M., Dubovik, O., Smirnov, A., Schafer, J. S., Hsu, N. C., Piketh, S. J., Queface, A., Le Roux, J., Swap, R. J., and Slutsker, I.:
Correction to “Variability of biomass burning aerosol optical characteristics in southern Africa during the SAFARI 2000 dry season campaign and a comparison of single scattering albedo estimates from radiometric measurements” by T. F. Eck et al.,
J. Geophys. Res.,
108, 8500, <a href="https://doi.org/10.1029/2003JD001606" target="_blank">https://doi.org/10.1029/2003JD001606</a>, 2003b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Eck, T. F., Holben, B. N., Kim, J., Beyersdorf, A. J., Choi, M., Lee, S., Koo, J. H., Giles, D. M., Schafer, J. S., Sinyuk, A., Peterson, D. A., Reid, J. S., Arola, A., Slutsker, I., Smirnov, A., Sorokin, M., Kraft, J., Crawford, J. H., Anderson, B. E., Thornhill, K. L., Diskin, G., Kim, S. W., and Park, S.:
Influence of cloud, fog, and high relative humidity during pollution transport events in South Korea: aerosol properties and PM<sub>2.5</sub> variability,
Atmos. Environ.,
232, 117530, <a href="https://doi.org/10.1016/j.atmosenv.2020.117530" target="_blank">https://doi.org/10.1016/j.atmosenv.2020.117530</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Fu, G., Hasekamp, O., Rietjens, J., Smit, M., Di Noia, A., Cairns, B., Wasilewski, A., Diner, D., Seidel, F., Xu, F., Knobelspiesse, K., Gao, M., da Silva, A., Burton, S., Hostetler, C., Hair, J., and Ferrare, R.: Aerosol retrievals from different polarimeters during the ACEPOL campaign using a common retrieval algorithm, Atmos. Meas. Tech., 13, 553–573, <a href="https://doi.org/10.5194/amt-13-553-2020" target="_blank">https://doi.org/10.5194/amt-13-553-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Giles, D. M., Sinyuk, A., Sorokin, M. G., Schafer, J. S., Smirnov, A., Slutsker, I., Eck, T. F., Holben, B. N., Lewis, J. R., Campbell, J. R., Welton, E. J., Korkin, S. V., and Lyapustin, A. I.: Advancements in the Aerosol Robotic Network (AERONET) Version 3 database – automated near-real-time quality control algorithm with improved cloud screening for Sun photometer aerosol optical depth (AOD) measurements, Atmos. Meas. Tech., 12, 169–209, <a href="https://doi.org/10.5194/amt-12-169-2019" target="_blank">https://doi.org/10.5194/amt-12-169-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Hasekamp, O. P., Fu, G., Rusli, S. P., Wu, L., Di Noia, A., aan de Brugh, J., Landgraf, J., Smit, J. M., Rietjens, J., van Amerongen, A.:
Aerosol measurements by SPEXone on the NASA PACE mission: expected retrieval capabilities,
J. Quant. Spectrosc. Ra.,
227, 170–184, <a href="https://doi.org/10.1016/j.jqsrt.2019.02.006" target="_blank">https://doi.org/10.1016/j.jqsrt.2019.02.006</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
He, Q., Bluvshtein, N., Segev, L., Meidan, D., Flores, J. M., Brown, S. S., Brune, W., and Rudich, Y.:
Evolution of the Complex Refractive Index of Secondary Organic Aerosols during Atmospheric Aging,
Environ. Sci. Technol.,
52, 3456-3465, <a href="https://doi.org/10.1021/acs.est.7b05742" target="_blank">https://doi.org/10.1021/acs.est.7b05742</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Jordan, C. E., Anderson, B. E., Beyersdorf, A. J., Corr, C. A., Dibb, J. E., Greenslade, M. E., Martin, R. F., Moore, R. H., Scheuer, E., Shook, M. A., Thornhill, K. L., Troop, D., Winstead, E. L., and Ziemba, L. D.: Spectral aerosol extinction (SpEx): a new instrument for in situ ambient aerosol extinction measurements across the UV/visible wavelength range, Atmos. Meas. Tech., 8, 4755–4771, <a href="https://doi.org/10.5194/amt-8-4755-2015" target="_blank">https://doi.org/10.5194/amt-8-4755-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Jordan, C. E., Crawford, J. H., Beyersdorf, A. J., Eck, T. F., Halliday, H. S., Nault, B. A., Chang, L.-S., Park, J., Park, R., Lee, G., Kim, H., Ahn, J-Y., Cho, S., Shin, H. J., Lee, J. H., Jung, J., Kim, D.-S., Lee, M., Lee, T., Whitehill, A., Szykman, J., Schueneman, M. K., Campuzano-Jost, P., Jimenez, J. L., DiGangi, J. P., Diskin, G. S., Anderson, B. E., Moore, R. H., Ziemba, L. D., Fenn, M. A., Hair, J. W., Kuehn, R. E., Holz, R. E., Chen, G., Travis, K., Shook, M., Peterson, D. A., Lamb, K. D., and Schwarz, J. P.:
Investigation of factors controlling PM<sub>2.5</sub> variability across the South Korean Peninsula during KORUS-AQ,
Elementa: Science of the Anthropocene,
8, 28, <a href="https://doi.org/10.1525/elementa.424" target="_blank">https://doi.org/10.1525/elementa.424</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Jordan, C. E., Stauffer, R. M., Lamb, B. T., Novak, M., Mannino, A., Crosbie, E. C., Schuster, G. L., Moore, R. H., Hudgins, C. H., Thornhill, K. L., Winstead, E. L., Anderson, B. E., Martin, R. F., Shook, M. A., Ziemba, L. D., Beyersdorf, A. J., Robinson, C. E., Corr, C. A., and Tzortziou, M. A.: New in situ aerosol hyperspectral optical measurements over 300–700&thinsp;nm – Part 2: Extinction, total absorption, water- and methanol-soluble absorption observed during the KORUS-OC cruise, Atmos. Meas. Tech., 14, 715–736, <a href="https://doi.org/10.5194/amt-14-715-2021" target="_blank">https://doi.org/10.5194/amt-14-715-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Kaku, K. C., Reid, J. S., O'Neill, N. T., Quinn, P. K., Coffman, D. J., and Eck, T. F.: Verification and application of the extended spectral deconvolution algorithm (SDA+) methodology to estimate aerosol fine and coarse mode extinction coefficients in the marine boundary layer, Atmos. Meas. Tech., 7, 3399–3412, <a href="https://doi.org/10.5194/amt-7-3399-2014" target="_blank">https://doi.org/10.5194/amt-7-3399-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Kaskaoutis, D. G., Kalapureddy, M. C. R., Krishna Moorthy, K., Devara, P. C. S., Nastos, P. T., Kosmopoulos, P. G., and Kambezidis, H. D.: Heterogeneity in pre-monsoon aerosol types over the Arabian Sea deduced from ship-borne measurements of spectral AODs, Atmos. Chem. Phys., 10, 4893–4908, <a href="https://doi.org/10.5194/acp-10-4893-2010" target="_blank">https://doi.org/10.5194/acp-10-4893-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Kaskaoutis, D. G., Kumar Kharol, S., Sinha, P. R., Singh, R. P., Kambezidis, H. D., Rani Sharma, A., and Badarinath, K. V. S.: Extremely large anthropogenic-aerosol contribution to total aerosol load over the Bay of Bengal during winter season, Atmos. Chem. Phys., 11, 7097–7117, <a href="https://doi.org/10.5194/acp-11-7097-2011" target="_blank">https://doi.org/10.5194/acp-11-7097-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Kaufman, Y. J.:
Aerosol optical thickness and atmospheric path radiance,
J. Geophys. Res.,
98, 2677–2692, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Kim, H., Zhang, Q., and Heo, J.: Influence of intense secondary aerosol formation and long-range transport on aerosol chemistry and properties in the Seoul Metropolitan Area during spring time: results from KORUS-AQ, Atmos. Chem. Phys., 18, 7149–7168, <a href="https://doi.org/10.5194/acp-18-7149-2018" target="_blank">https://doi.org/10.5194/acp-18-7149-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
King, M. D. and Byrne, D. M.:
A method for inferring total ozone content from the spectral variation of total optical depth obtained with a solar radiometer,
J. Atmos. Sci.,
33, 2242–2251, 1976.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
King, M. D., Byrne, D. M., Herman, B. M., and Reagan, J. A.:
Aerosol size distributions obtained by inversion of spectral optical depth measurements,
J. Atmos. Sci.,
35, 2153–2167, 1978.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
LeBlanc, S. E., Redemann, J., Flynn, C., Pistone, K., Kacenelenbogen, M., Segal-Rosenheimer, M., Shinozuka, Y., Dunagan, S., Dahlgren, R. P., Meyer, K., Podolske, J., Howell, S. G., Freitag, S., Small-Griswold, J., Holben, B., Diamond, M., Wood, R., Formenti, P., Piketh, S., Maggs-Kölling, G., Gerber, M., and Namwoonde, A.: Above-cloud aerosol optical depth from airborne observations in the southeast Atlantic, Atmos. Chem. Phys., 20, 1565–1590, <a href="https://doi.org/10.5194/acp-20-1565-2020" target="_blank">https://doi.org/10.5194/acp-20-1565-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Moosmüller, H. and Chakrabarty, R. K.: Technical Note: Simple analytical relationships between Ångström coefficients of aerosol extinction, scattering, absorption, and single scattering albedo, Atmos. Chem. Phys., 11, 10677–10680, <a href="https://doi.org/10.5194/acp-11-10677-2011" target="_blank">https://doi.org/10.5194/acp-11-10677-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
NASA: KORUS-AQ – An International Cooperative Air Quality Field Study in Korea, NASA Langley Research Center Airborne Science Data for Atmospheric Composition, KORUS-AQ data archive, <a href="https://doi.org/10.5067/Suborbital/KORUSAQ/DATA01" target="_blank">https://doi.org/10.5067/Suborbital/KORUSAQ/DATA01</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Nault, B. A., Campuzano-Jost, P., Day, D. A., Schroder, J. C., Anderson, B., Beyersdorf, A. J., Blake, D. R., Brune, W. H., Choi, Y., Corr, C. A., de Gouw, J. A., Dibb, J., DiGangi, J. P., Diskin, G. S., Fried, A., Huey, L. G., Kim, M. J., Knote, C. J., Lamb, K. D., Lee, T., Park, T., Pusede, S. E., Scheuer, E., Thornhill, K. L., Woo, J.-H., and Jimenez, J. L.: Secondary organic aerosol production from local emissions dominates the organic aerosol budget over Seoul, South Korea, during KORUS-AQ, Atmos. Chem. Phys., 18, 17769–17800, <a href="https://doi.org/10.5194/acp-18-17769-2018" target="_blank">https://doi.org/10.5194/acp-18-17769-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
O'Neill, N. T., Dubovik, O., and Eck, T. F.:
Modified Ångström exponent for the characterization of submicrometer aerosols,
Appl. Optics,
40, 2368–2375, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
O'Neill, N. T., Eck, T. F., Smirnov, A., Holben, B. N., and Thulasiraman S.:
Spectral discrimination of coarse and fine mode optical depth,
J. Geophys. Res.-Atmos.,
108, 4559, <a href="https://doi.org/10.1029/2002JD002975" target="_blank">https://doi.org/10.1029/2002JD002975</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
O'Neill, N. T., Eck, T. F., Reid, J. S., Smirnov, A., and Pancrati, O.:
Coarse mode optical information retrievable using ultraviolet to short-wave infrared Sun photometry: Application to United Arab Emirates Unified Aerosol Experiment data,
J. Geophys. Res.-Atmos.,
113, D05212, <a href="https://doi.org/10.1029/2007JD009052" target="_blank">https://doi.org/10.1029/2007JD009052</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Ogren, J. A., Wendell, J., Andrews, E., and Sheridan, P. J.: Continuous light absorption photometer for long-term studies, Atmos. Meas. Tech., 10, 4805–4818, <a href="https://doi.org/10.5194/amt-10-4805-2017" target="_blank">https://doi.org/10.5194/amt-10-4805-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Peterson, D. A., Hyer, E. J., Han, S.-O., Crawford, J. H., Park, R. J., Holz, R., Kuehn, R. E., Eloranta, E., Knote, C., Jordan, C. E., and Lefer, B. L.:
Meteorology influencing springtime air quality, pollution transport, and visibility in Korea,
Elementa: Science of the Anthropocene,
7, 57, <a href="https://doi.org/10.1525/elementa.395" target="_blank">https://doi.org/10.1525/elementa.395</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Rao, B. M. and Niranjan, K.:
Optical properties of the South Asian winter haze at a tropical coastal site in India,
Atmos. Environ.,
54, 449–455, <a href="https://doi.org/10.1016/j.atmosenv.2012.02.016" target="_blank">https://doi.org/10.1016/j.atmosenv.2012.02.016</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Reid, J. S., Eck, T. F., Christopher, S. A., Hobbs, P. V., and Holben, B.:
Use of the Ångstrom exponent to estimate the variability of optical and physical properties of aging smoke particles in Brazil,
J. Geophys. Res.,
104, 27473–27489, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Remer, L. A., Davis, A. B., Mattoo, S., Levy, R. C., Kalashnikova, O. V., Coddington, O., Chowdhary, J., Knobelspiesse, K., Xu, X., Ahmad, Z., Boss, E., Cairns, B., Dierssen, H. M., Diner, D. J., Franz, B., Frouin, R., Gao, B.-C., Ibrahim, A., Martins, J. V., Omar, A. H., Torres, O., Xu, F., and Zhai, P.-W.:
Retrieving Aerosol Characteristics From the PACE Mission, Part 1: Ocean Color Instrument,
Front. Earth Sci.,
7, 152, <a href="https://doi.org/10.3389/feart.2019.00152" target="_blank">https://doi.org/10.3389/feart.2019.00152</a>, 2019a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Remer, L. A., Knobelspiesse, K., Zhai, P.-W., Xu, F., Kalashnikova, O. V., Chowdhary, J., Hasekamp, O., Dubovik, O., Wu, L., Ahmad, Z., Boss, E., Cairns, B., Coddington, O., Davis, A. B., Dierssen, H. M., Diner, D. J., Franz, B., Frouin, R., Gao, B.-C., Ibrahim, A., Levy, R. C., Martins, J. V., Omar, A. H., and Torres, O.:
Retrieving Aerosol Characteristics From the PACE Mission, Part 2: Multi-Angle and Polarimetry,
Front. Environ. Sci.,
7, 94, <a href="https://doi.org/10.3389/fenvs.2019.00094" target="_blank">https://doi.org/10.3389/fenvs.2019.00094</a>, 2019b.

</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Schuster, G. L., Dubovik, O., and Holben, B. N.:
Angstrom exponent and bimodal aerosol size distributions,
J. Geophys. Res.,
111, D07207, <a href="https://doi.org/10.1029/2005JD006328" target="_blank">https://doi.org/10.1029/2005JD006328</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Smit, J. M., Rietjens, J. H. H., van Harten, G., Noia, A. D., Laauwen, W., Rheingans, B. E., Diner, D. J., Cairns, B., Wasilewski, A., Knobelspiesse, K. D., Ferrare, R., and Hasekamp, O. P.:
SPEX airborne spectropolarimeter calibration and performance,
Appl. Optics,
58, 5695–5719, <a href="https://doi.org/10.1364/AO.58.005695" target="_blank">https://doi.org/10.1364/AO.58.005695</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Thompson, A. M., Stauffer, R. M., Boyle, T. P., Kollonige, D. E., Miyazaki, K., Tzortziou, M., Herman, J. R., Abuhassan, N., Jordan, C. E., and Lamb, B. T.:
Comparison of near surface NO<sub>2</sub> pollution with Pandora total column NO<sub>2</sub> during the Korea-United States Ocean Color (KORUS OC) Campaign,
J. Geophys. Res.-Atmos.,
124, 13560–13575, <a href="https://doi.org/10.1029/2019JD030765" target="_blank">https://doi.org/10.1029/2019JD030765</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Tzortziou, M., Parker, O., Lamb, B., Herman, J., Lamsal, L., Stauffer, R., and Abuhassan, N.:
Atmospheric trace gas (NO<sub>2</sub> and O<sub>3</sub>) variability in Korean coastal waters, implications for remote sensing of coastal ocean color dynamics,
Remote Sens.-Basel,
10, 1587, <a href="https://doi.org/10.3390/rs10101587" target="_blank">https://doi.org/10.3390/rs10101587</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
US-Korean Steering Group:
Risk reduction measurements for GEO-CAPE: A US-Korea joint field campaign (US-Korea JFC) in the East Sea and Yellow Sea, 18 pages, available at: <a href="https://geo-cape.larc.nasa.gov/wp-content/uploads/sites/142/2020/08/KORUS_OC_WhitePaper_2016_Field_20150205_final.pdf" target="_blank"/>,
last access: 29 October 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Washenfelder, R. A., Flores, J. M., Brock, C. A., Brown, S. S., and Rudich, Y.: Broadband measurements of aerosol extinction in the ultraviolet spectral region, Atmos. Meas. Tech., 6, 861–877, <a href="https://doi.org/10.5194/amt-6-861-2013" target="_blank">https://doi.org/10.5194/amt-6-861-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Washenfelder, R. A., Attwood, A. R., Brock, C. A., Guo, H., Xu, L., Weber, R. J., Ng, N. L., Allen, H. M., Ayres, B. R., Baumann, K., Cohen, R. C., Draper, D. C., Duffey, K. C., Edgerton, E., Fry, J. L., Hu, W. W., Jimenez, J. L., Palm, B. B., Romer, P., Stone, E. A., Wooldridge, P. J., and Brown, S. S.:
Biomass burning dominates brown carbon absorption in the rural southeastern United States,
Geophys. Res. Lett.,
42, 653–664, <a href="https://doi.org/10.1002/2014GL062444" target="_blank">https://doi.org/10.1002/2014GL062444</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Werdell, P. J., Behrenfeld, M. J., Bontempi, P. S., Boss, E., Cairns, B., Davis, G. T., Franz, B. A., Gliese, U. B., Gorman, E. T., Hasekamp, O., Knobelspiesse, K. D., Mannino, A., Martins, J. V., McClain, C. R., Meister, G., and Remer, L. A.:
The Plankton, Aerosol, Cloud, ocean Ecosystem mission status, science, advances,
B. Am. Meteorol. Soc.,
1775–1794, <a href="https://doi.org/10.1175/BAMS-D-18-0056.1" target="_blank">https://doi.org/10.1175/BAMS-D-18-0056.1</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
White, J. U.:
Long optical paths of large aperture,
J. Opt. Soc. Am.,
32, 285–288, 1942.
</mixed-citation></ref-html>--></article>
