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  <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-13-1817-2020</article-id><title-group><article-title>Effect of OH emission on the temperature and wind measurements derived from
limb-viewing observations of the 1.27 <inline-formula><mml:math id="M1" 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="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow</article-title><alt-title>Effect of OH emission on temperature and wind measurements</alt-title>
      </title-group><?xmltex \runningtitle{Effect of OH emission on temperature and wind measurements}?><?xmltex \runningauthor{K.~Wu~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wu</surname><given-names>Kuijun</given-names></name>
          <email>wukuijun@wipm.ac.cn</email>
        <ext-link>https://orcid.org/0000-0002-8019-6132</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>He</surname><given-names>Weiwei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Feng</surname><given-names>Yutao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xiong</surname><given-names>Yuanhui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Faquan</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Magnetic Resonance and Atomic and Molecular
Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of
Sciences, Wuhan National Laboratory for Optoelectronics, Wuhan 430071,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>City College, Wuhan University of Science and Technology, Wuhan,
Hubei 430083, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Key Laboratory of Spectral Imaging Technology of Chinese Academy of
Sciences, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy
of Sciences, Xi'an 710119, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Kuijun Wu (wukuijun@wipm.ac.cn)</corresp></author-notes><pub-date><day>8</day><month>April</month><year>2020</year></pub-date>
      
      <volume>13</volume>
      <issue>4</issue>
      <fpage>1817</fpage><lpage>1824</lpage>
      <history>
        <date date-type="received"><day>13</day><month>June</month><year>2019</year></date>
           <date date-type="rev-request"><day>17</day><month>June</month><year>2019</year></date>
           <date date-type="rev-recd"><day>8</day><month>February</month><year>2020</year></date>
           <date date-type="accepted"><day>5</day><month>March</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</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>
    <p id="d1e152">The <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> emission near 1.27 <inline-formula><mml:math id="M4" 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> is well-suited for remote sensing of global wind and temperature in near-space by limb-viewing observations to its bright signal and extended altitude coverage. However, vibrational–rotational emission lines of the <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> dayglow produced by the hydrogen–ozone reaction (<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) overlap the infrared atmospheric band emission (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The main goal of this paper is to discuss the effect of OH emission on the wind and temperature measurements derived from the 1.27 <inline-formula><mml:math id="M9" 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="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow limb-viewing observations. The <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and OH dayglow spectrum over the spectral region and altitude range of interest is calculated by using the line-by-line radiative transfer model and the most recent photochemical model. The method of four-point sampling of the interferogram and sample results of measurement simulations are provided for both <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and OH dayglow. It is apparent from the simulations that the presence of OH dayglow as an interfering species decreases the wind and temperature accuracy at all altitudes, but this effect can be reduced considerably by improving OH dayglow knowledge.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e320">The infrared atmospheric band emission (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed near the wavelength of 1.27 <inline-formula><mml:math id="M15" 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> has remarkable advantages in atmospheric remote sensing due to its bright signal and extended altitude coverage (Mlynczak et al., 2007). The enormous success of the Wind Imaging Interferometer (WINDII) (Shepherd et al., 2012), high-resolution Doppler imager (HRDI) (Ortland et al., 1996) and TIMED Doppler interferometer (TIDI) (Killeen et al., 2006),
which measured winds in the upper mesosphere and lower thermosphere using
Doppler shifts in visible airglow emission lines, stimulates interest in
measuring wind and temperature from limb-viewing satellites using the 1.27 <inline-formula><mml:math id="M16" 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> dayglow (Wu et al., 2018).</p>
      <?pagebreak page1818?><p id="d1e383">Ward et al. (2001) designed a high-sensitivity interferometer, WAMI, to provide simultaneous measurements of horizontal wind and rotational temperature by using the combination of a “strong” emission line group and a “weak” group of the <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> airglow. A similar instrument, MIMI, designed by York University, also takes advantage of strong and weak emission lines for dynamics and thermodynamics measurement. Both WAMI and MIMI are imaging, field-widened Michelson interferometers and the same measurement technique, known as Doppler Michelson imaging interferometry, is employed successfully by the WINDII instrument on NASA's UARS satellite (Shepherd et al., 2012). The observing strategy of using two sets of three emission lines (as shown in Fig. 1 of Ward et al., 2001) makes it a perfect approach for WAMI and MIMI to improve our knowledge of the wind and temperature of the lower thermosphere and middle atmosphere, as well as global distribution and transport of <inline-formula><mml:math id="M18" 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>. In recent years, measuring
wind and temperature in the planetary atmosphere of Mars and Venus, for example, was also proposed by using a 1.27 <inline-formula><mml:math id="M19" 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> band emission of the electronically excited <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> state (Ward et al., 2002;
Zhang et al., 2017). Closely following the WAMI concept, we recently proposed a near-space wind and temperature sensing interferometer (NWTSI) for simultaneous measurements of the atmospheric wind and temperature in the near-space from the limb-viewing satellite by observing the <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> dayglow near 1.27 <inline-formula><mml:math id="M22" 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> (He et al., 2019).</p>
      <p id="d1e493">The strategy of choosing two sets of three emission lines adopted by WAMI,
MIMI and NWTSI is quite ingenious. Three emission lines of each group are
relatively well separated and belong to different branches within the same
band, which allows them to be optically isolated and ensures distinct
temperature sensitivities. Additionally, the line strengths of the strong group
and the weak one differ by about 1 order of magnitude, so their radiation
intensities and absorption characteristics varying with altitude are
available for covering a great extended altitude range from 45 to 100 km.</p>
      <p id="d1e496">However, vibrational–rotational emission lines of the OH dayglow produced by
the hydrogen–ozone reaction (<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) overlap
the infrared atmospheric band emission (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near 1.27 <inline-formula><mml:math id="M26" 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> (Maihara et al., 1993), which may potentially contribute to the increase in wind and temperature errors.</p>
      <p id="d1e579">The main goal of this paper is to discuss the effect of OH emission on the
wind and temperature measurements derived from the 1.27 <inline-formula><mml:math id="M27" 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="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow limb-viewing observations. The atmospheric radiance model is simulated using a line-by-line radiative transfer method. A brief description of the <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and OH dayglow spectrum over the spectral region and
altitude range of interest is provided. The forward simulation including
instrument model and the method of four-point sampling of the interferogram,
as well as sample results of measurement simulations, is presented. Inversion
errors of wind and temperature measurements due to the effect of OH dayglow
are presented and discussed. Here we report, to the best of our knowledge,
the first consideration and discussion of the effect of OH dayglow on the
temperature and wind measurements using the 1.27 <inline-formula><mml:math id="M30" 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="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><?xmltex \opttitle{{$\protect\chem{O_{2}}$} and OH dayglow spectrum}?><title><inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH dayglow spectrum</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><?xmltex \opttitle{The {$\protect\chem{O_{2}(a^{{1}}\Delta _{\mathrm{g}})}$} and OH dayglow volume emission rates}?><title>The <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and OH dayglow volume emission rates</title>
      <p id="d1e687">Two predominant mechanisms, the photolysis of <inline-formula><mml:math id="M34" 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> and the energy transfer from <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, produce the lowest-lying electronic state of molecular oxygen <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the mesosphere and lower thermosphere. <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> radiates strong emission in the infrared atmospheric band <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and produces dayglow at 1.27 <inline-formula><mml:math id="M39" 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 volume emission rate
(VER, defined as the number of photons emitted from a cubic centimeter per
second) of a <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> individual rotational line can be given by (Mlynczak et al., 1993)
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M41" display="block"><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">rot</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>g</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>-</mml:mo><mml:mi>h</mml:mi><mml:mi>c</mml:mi><mml:msup><mml:mi>E</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:munderover><mml:msub><mml:mi>K</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="italic">η</mml:mi></mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:munderover><mml:msub><mml:mi>K</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:munderover><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M42" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the Einstein coefficient of the transition, <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi>g</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the upper
state degeneracy, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the rotational partition function, <inline-formula><mml:math id="M45" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> is the
Planck constant, <inline-formula><mml:math id="M46" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the light speed, <inline-formula><mml:math id="M47" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is the Boltzmann constant, <inline-formula><mml:math id="M48" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the rotational temperature, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi>E</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is the upper state energy,
<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo><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:mo>,</mml:mo><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:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.35</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">70</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">220</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.54</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="italic">η</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1592">An enhanced concentration of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> in high states occurs in a thin layer near the mesopause due to the hydrogen–ozone reaction, <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. A multitude of excited OH* in high vibrational and rotational states cascading to lower energy states results in an emission spectrum, which extends over a wide wavelength range (500–5000 nm). Among those vibrational–rotational transitions, two emission lines, RR<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and
RR<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> of the <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Π</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Π</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">υ</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> band, are very close to
the three weak target emission lines of the 1.27 <inline-formula><mml:math id="M68" 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="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow.</p>
      <p id="d1e1759">The volume emission rate of the <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (8–5) vibrational band can be given by (Russell and Lowe, 2003)
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M71" display="block"><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">η</mml:mi><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi>J</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo><mml:mo>]</mml:mo><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi>J</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>h</mml:mi><mml:mi>c</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> is the number density of OH in the <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> state,
<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi>J</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is the particular Einstein coefficient for the
rotation transition of the (8–5) vibrational band, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are
initial and final values of the total angular momentum of the transition,
and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi>J</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the upper state rotational term value.</p>
      <?pagebreak page1819?><p id="d1e2058">Figure 1 shows the VER profiles of both the three weak target emission lines
of the 1.27 <inline-formula><mml:math id="M78" 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="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and the two emission lines, RR<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and RR<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> of the <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Π</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Π</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">υ</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> band. As can be seen, the
<inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow peaks at about 45 km and the OH reaches 90 km, and the
emission rate of <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is roughly 45 times stronger than OH. In addition, the two emission lines of OH show a similar distribution profile over altitude, while the three emission lines of <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> differ a lot. This is because the two emission lines of OH share the same particular Einstein coefficient and total angular momentum, but the three emission lines of <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are located in different vibration bands with sufficiently different lower-state energy, which leads to a disparity in temperature sensitivity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e2231">The VER profiles of both the three weak target emission lines of
the 1.27 <inline-formula><mml:math id="M87" 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="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and the two emission lines of OH.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><?xmltex \opttitle{The {$\protect\chem{O_{2}(a^{{1}}\Delta _{\mathrm{g}})}$} and OH dayglow limb radiance}?><title>The <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and OH dayglow limb radiance</title>
      <p id="d1e2295">In the case of limb-viewing, each viewing direction defines a ray path. The
path segments defined by the intersection of atmospheric layers and ray
paths is assumed to have the same emission and absorption characteristics.
Evaluated on the layer-by-layer basis, the observed spectral irradiance is
considered as a path integral along the line of sight (Song et al., 2017)
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M90" display="block"><mml:mrow><mml:mi>L</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:msubsup><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:mo>-</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mi>s</mml:mi></mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:msubsup><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>s</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>s</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:msup><mml:mi>s</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">d</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the Doppler line shape of the spectral line, <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
is the volume emission rate, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the number density, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
the absorption cross section and <inline-formula><mml:math id="M95" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the distance along the line of sight.</p>
      <p id="d1e2461">Figure 2 shows the limb spectral radiance of three emission lines of <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the two emission lines of OH at different altitudes (40–90 km with 10 km interval). The inset panels show a magnified view of a certain emission line, from which the linewidth and intensity varying with tangent heights can be seen more clearly.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2477">The spectral irradiance of the three emission lines of <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow and the two emission lines of OH dayglow at tangent heights of 40, 50, 60, 70,  80 and 90 km. <bold>(a)</bold> Three emission lines of
<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow. <bold>(b)</bold> Two emission lines of OH dayglow. The inset panels of <bold>(a)</bold> and <bold>(b)</bold> show a magnified view of a certain emission line of <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH dayglow, from which the linewidth and intensity varying with tangent heights can be seen more clearly.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f02.png"/>

        </fig>

      <p id="d1e2533">The total spectral irradiance including the weak group of the <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dayglow and the OH dayglow is shown in Fig. 3a. The third emission line of
the <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow near 7823 cm<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is too close to the OH lines
RR<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and RR<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> (less than 0.05 nm) to be well
isolated optically. Figure 3b shows the band radiance profiles of the <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> near 7823 cm<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the OH dayglow, and
their ratio. As can be seen, the OH dayglow affects the observation of the
<inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission line near 7823 cm<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, especially for altitudes between 80 to 90 km where the OH dayglow is relatively strong.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2657">The total spectral irradiance and band radiance as a function of
tangent height. <bold>(a)</bold> The total spectral irradiance containing
<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and OH dayglow as a function of tangent
height. <bold>(b)</bold> The band radiance profiles of the <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and OH dayglow and their ratio.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f03.png"/>

        </fig>

      <p id="d1e2722">The Doppler shift of the emission line due to the movement of the atmosphere
is measured as a phase shift of the Michelson interferometer, and accurate
temperature measurement is obtained from the integrated absorbance ratio of
two isolated emission lines (He et al., 2019). However, the intensity variation caused by Doppler shift or temperature change is very small. The relative Doppler shift is <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>w</mml:mi><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M112" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> denotes the motion of the background atmosphere and <inline-formula><mml:math id="M113" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the velocity of light. If winds are to be measured to an accuracy of 3 m s<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, a desirable value for the mesosphere and stratosphere, the measurement must be made to one part in <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of the velocity of light. For the central wavelength of 1270 nm, that means the measurement of the wavelength shift is about 12 fm (femtometer). Since a linewidth of the <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow is of the order of 0.003 nm, the wavelength shift is <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of the linewidth. Therefore, the intensity variation of the band radiance near 7823 cm<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> caused by the existence of the OH dayglow will surely contribute to the increase in wind error, as well as the temperature error.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Forward simulation</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>The instrument model</title>
      <p id="d1e2832">The NWTSI, using the combination of a “strong” emission lines group and a
“weak” group of the <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> airglow, is a
limb-viewing satellite instrument (He et al., 2019). The schematic drawing of the limb-imaging geometry and instrument concept is shown in Fig. 4, which
closely follows the WAMI concept (Ward et al., 2001). The field of view (FOV) of NWTSI is defined by the first telescope with a value of <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which allows NWTSI to cover an entire altitude range from 20 to 120 km in single images for a nominal spacecraft altitude of 410 km.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2882">Limb-imaging geometry and optical concept schematic drawing for
NWTSI. The background map is from © NASA
(<uri>https://eoimages.gsfc.nasa.gov/images/imagerecords/57000/57723/globe_west_2048.jpg</uri>, last access: 12 February 2020).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f04.png"/>

        </fig>

      <p id="d1e2894">The entrance aperture of NWTSI is about 5 cm in diameter with an effective
aperture ratio of <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula>. The magnifications of the first telescope and
second are 2 and 0.5 respectively, so the FOV at the Michelson is
<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and at the filters is again
<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The beam splitter of the NWTSI
field-widened Michelson interferometer consists of two cemented half-hexagons with a low-polarizing semi-reflecting dielectric multilayer on one
of the diagonal faces. It is made of BK7 glass and the entrance and exit
faces are 6.35 cm<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Large optical path difference (OPD) and field
widening involve using 12.240 cm LaKN12 glass and 11.070 cm BK7 glass with
corresponding refractive indices 1.733 and 1.516 in the two arms of the
interferometer. The OPD between the paths of the two arms of the Michelson
interferometer for normal incident can be found from <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> (He et al., 2019), which corresponds to a value of 7.35 cm. In order to avoid errors caused by intensity variations during measurements, the four interferogram samples are taken simultaneously rather than sequentially by dividing one Michelson mirror into four equal segments so the steps are coated permanently onto the mirror. A composite of etalon and interference filter is used to isolate individual emission lines. The etalon is fused silica with a finesse of 20 and a free spectral range of 2.0 nm. The etalon thickness is designed to give optimum transmittance in the outer one-third of the field of view for three strong and three weak <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission lines. The imaging system produces four copies of FOV by using a shallow, pyramid-shaped prism just in front of the camera. The edges of the prism are aligned with the divisions between the quadrants of the sectored Michelson mirror to form four images on the array detectors simultaneously, corresponding to different sampling steps of the Michelson segments.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>The imaging interferogram</title>
      <?pagebreak page1820?><p id="d1e3017">By sampling the interferogram for each pixel at four points corresponding to
the four phase steps, the Doppler wind is obtained, which is so called the
four-point sampling method. The equation representing the interferogram for
a given pixel at row <inline-formula><mml:math id="M127" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula> and column <inline-formula><mml:math id="M128" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> of the detector is (Rahnama et al., 2006)
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M129" display="block"><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mi>cos⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the relative total filter function, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the instrument visibility, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the OPD, <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the Michelson interferometer <inline-formula><mml:math id="M134" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th phase step, and <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula>is the wavenumber; the
instrument responsivity <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is defined by
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M137" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>A</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi>t</mml:mi><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>h</mml:mi><mml:mi>c</mml:mi><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> is the pixel etendue, <inline-formula><mml:math id="M139" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the exposure time, <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is the
attenuation and <inline-formula><mml:math id="M141" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is the quantum efficiency.</p>
      <p id="d1e3335">The simulated mean value of the interferogram for the weak group of <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow as well as the OH dayglow is shown in Fig. 5. The pattern in Fig. 5a reflects the<?pagebreak page1821?> variation over the field of the filter transmittance
function, the dependence of OPD on pixel positions and the tangent height
variation of <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow within a column. The image in Fig. 5b shows
the interference fringe of OH dayglow is much stronger for pixels nearer the
periphery of the focal plane array (FPA), where the signal of the third weak
emission line of the <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow near 7823 cm<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is imaged.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3385">The simulated interferogram images of the weak
<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and OH emission lines.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Inversion error due to the effect of OH dayglow</title>
      <p id="d1e3428">Molecular species in NWTSI's selected spectral range of 7820–7824 and 7908–7912 cm<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> other than <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can affect NWTSI's wind and
temperature measurements through absorption and emission. Limb spectral
radiance of OH airglow is the most important interfering constituent for
NWTSI, especially for the weak group detection, as shown in Figs. 3 and 5. Using etalon as the ultra-narrow filter significantly reduces but
does not eliminate the influence from OH airglow. Therefore, the uncertainty
in its mixing ratio surely contributes to the increase in wind and
temperature errors. Note that while the fabrication of this ultra-narrow
filter with a spectral width of 0.1 nm is feasible for current technical
levels and engineering capability, it would be extremely challenging to
monitor the changes in its width and central wavelength during the mission.</p>
      <p id="d1e3454">The wind velocity <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is measured as a phase shift <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:math></inline-formula> of the interferogram
          <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M151" display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>c</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        and phase <inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula> can be calculated from
          <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M153" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi>tan⁡</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Fourier coefficients, <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, also referred to as the
apparent quantities, are related to any point <inline-formula><mml:math id="M157" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> along a fringe interferogram
<inline-formula><mml:math id="M158" display="inline"><mml:mi>I</mml:mi></mml:math></inline-formula> (Shepherd et al., 2012):
          <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M159" display="block"><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:mstyle><mml:msubsup><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msubsup><mml:msub><mml:mi>I</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>U</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:msubsup><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msubsup><mml:msub><mml:mi>I</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>U</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:msubsup><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msubsup><mml:msub><mml:mi>I</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mi>sin⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
        Omitting the presence of OH emission will change the value of <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which will inevitably lead to an inversion error for the wind
measurement.</p>
      <p id="d1e3784">The error standard deviation of inverted wind due to the presence of OH
emission is found from the following relation (He et al., 2019):
          <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M162" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>c</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:msqrt><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi mathvariant="italic">ν</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> represent the variance of the Fourier coefficients <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to the lack of knowledge on OH emission.</p>
      <p id="d1e3932">The contribution of OH dayglow to the wind error is shown in Fig. 6a. The
black curve represents omitting the presence of the OH emission. As can be
seen, the wind error is about 1–2 m s<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for altitudes below 70 km, climbing to greater than 8 m s<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as the altitude increases from 80 to 90 km. The sensitivity of wind retrieval is weaker in the lower altitudes due to the lower OH volume emission rate. The degree of knowledge of OH dayglow is important for NWTSI retrieval. The blue short-dash–dot line and the red short-dash line in Fig. 6a represent the error deviation of inverted wind with OH dayglow knowledge of 80 % and 90 %, respectively. As can be seen, when OH dayglow is known to 80 %, the wind error is 0.3–0.5 m s<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the altitude range of 40–70 km; for OH dayglow knowledge of 90 %, the wind error decreases to 0.1–0.3 m s<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3986">Inversion errors in wind and temperature due to omitting the presence of OH dayglow (black curve) and with 80 % and 90 % knowledge of
the OH dayglow (blue short-dash–dot line and the red short-dash line). <bold>(a)</bold> The wind error profiles. <bold>(b)</bold> The temperature error profiles. The inset panels of <bold>(a)</bold> and <bold>(b)</bold> show the wind and temperature error in the altitude range 70–100 km.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/1817/2020/amt-13-1817-2020-f06.png"/>

      </fig>

      <?pagebreak page1822?><p id="d1e4007">The error standard deviation of inverted temperature due to the presence of
OH emission can be written as
          <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M171" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">AB</mml:mi></mml:msub></mml:mrow><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">AB</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msqrt><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">A</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">A</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> represent the variance of the Fourier coefficients <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of two emission lines A and B of the weak group of the <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow, and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">AB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the ratio of the measured integral absorbances of this two lines, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">AB</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">A</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e4198">A similar trend with the wind error is found for the temperature obtained
from <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">A</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>: the temperature error is about 4–6 K for altitudes below 70 km and greater than 20 K for altitudes from 80 to 90 km (see the black curve in Fig. 6b). When OH dayglow is known to 80 %, the temperature error is 0.7–1.0 K for the altitude range of 40–70 km (see the blue short-dash–dot line in Fig. 6b); for OH dayglow knowledge of 90 %, the temperature error decreases to 0.3–0.5 K (see the red short-dash line in Fig. 6b).</p>
      <p id="d1e4229">By happy coincidence, the wind and temperature inversion for altitude above
70 km is irrelevant to the weak group. Due to their relative weak
self-absorption effect, the weak emission lines are used only for wind and
temperature measurement at low altitude. The three strong emission lines
suffering little from self-absorption at relatively higher tangent heights
take the place of the weak group for data inversion.</p>
      <p id="d1e4232">The performance analyses presented assume that the OH dayglow is known to a
degree that results in meeting the threshold wind and temperature
accuracies. The largest errors are obtained when not accounting for OH
dayglow in<?pagebreak page1823?> the retrievals. In order to bring down the wind and temperature
error to an acceptable level, OH dayglow knowledge with an accuracy of 80 %–90 % is required.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e4244">We have simulated and discussed the effect of OH dayglow on the wind and temperature measurements derived from the 1.27 <inline-formula><mml:math id="M180" 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="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow limb-viewing observations. We first calculated the <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH dayglow spectrum over the spectral region and altitude range of interest using the line-by-line radiative transfer model and the photochemical model incorporating the most recent spectroscopic parameters, rate constants and solar fluxes. They show that the OH lines RR<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and RR<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> are too close to the third weak emission line of the <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow near 7823 cm<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (less than 0.05 nm), which will surely affect the spectral integral intensity of the <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mission line. A brief description of the instrument model of NWTSI including the schematic drawing of limb-imaging geometry and the instrument concept is presented. The method of four-point sampling of the interferogram and sample results of measurement simulations are provided for both <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH dayglow. It was apparent from the simulations that the interference fringe of OH dayglow is much stronger for pixels nearer the periphery of FPA, where the signal of the third weak emission line of the <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dayglow near 7823 cm<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is imaged. Inversion errors of wind and temperature measurements due to the effect of OH dayglow are presented and discussed in detail. The presence of OH dayglow as an interfering species decreases the NWTSI performance at all altitudes, with the largest impact for altitudes from 80 to 90 km. The effect of OH dayglow on NWTSI inversion can be reduced by improving OH
dayglow knowledge. Accurate <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">v</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> concentrations (uncertainty level of 20 % or better) are required to help meet the wind and temperature
accuracy requirements.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e4395">Available upon request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4401">KW and WH conceived the ideas, developed the forward model, performed the measurement simulation and wrote the manuscript. YF helped in the instrument conceptualization and error analysis. YX calculated the atmospheric limb radiance. FL provided optical design expertise knowledge. All the authors contributed to the analysis and discussion of the results.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4407">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4413">The authors gratefully acknowledge informative and helpful discussions with Wang Dingyi on theoretical details of this work.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4418">This research has been supported by the National Natural Science Foundation of China (NSFC) (grant nos. 41975039 and 61705253) and the National Key R&amp;D Program of China (grant no. 2017YFC0211900).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4424">This paper was edited by Ad Stoffelen and reviewed by two anonymous referees.</p>
  </notes><?xmltex \hack{\newpage}?><ref-list>
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  </ref-list></back>
    <!--<article-title-html>Effect of OH emission on the temperature and wind measurements derived from limb-viewing observations of the 1.27&thinsp;µm O<sub>2</sub> dayglow</article-title-html>
<abstract-html><p>The O<sub>2</sub>(a<sup>1</sup>Δ<sub>g</sub>) emission near 1.27&thinsp;µm is well-suited for remote sensing of global wind and temperature in near-space by limb-viewing observations to its bright signal and extended altitude coverage. However, vibrational–rotational emission lines of the OH dayglow produced by the hydrogen–ozone reaction (H + O<sub>3</sub> → OH<sup>⚫</sup> + O<sub>2</sub>) overlap the infrared atmospheric band emission (a<sup>1</sup>Δ<sub>g</sub> → <i>X</i><sup>3</sup>Σ<sub>g</sub>) of O<sub>2</sub>. The main goal of this paper is to discuss the effect of OH emission on the wind and temperature measurements derived from the 1.27&thinsp;µm O<sub>2</sub> dayglow limb-viewing observations. The O<sub>2</sub> dayglow and OH dayglow spectrum over the spectral region and altitude range of interest is calculated by using the line-by-line radiative transfer model and the most recent photochemical model. The method of four-point sampling of the interferogram and sample results of measurement simulations are provided for both O<sub>2</sub> dayglow and OH dayglow. It is apparent from the simulations that the presence of OH dayglow as an interfering species decreases the wind and temperature accuracy at all altitudes, but this effect can be reduced considerably by improving OH dayglow knowledge.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
He, W., Wu, K., Feng, Y., Fu, D., Chen, Z., and Li, F.: The Near-Space
Wind and Temperature Sensing Interferometer: Forward Model and Measurement
Simulation, Remote Sens.-Basel, 11, 914, <a href="https://doi.org/10.3390/rs11080914" target="_blank">https://doi.org/10.3390/rs11080914</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Killeen, T. L., Wu, Q., Solomon, S. C., Ortland, D. A., Skinner, W. R.,
Niciejewski, R. J., and Gell, D. A.: TIMED Doppler Interferometer: Overview
and recent results, J. Geophys. Res., 111, A10S01,
<a href="https://doi.org/10.1029/2005JA011484" target="_blank">https://doi.org/10.1029/2005JA011484</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Maihara, T., Iwamuro, F., Yamashita, T., Hall, D. N. B., Cowie, L. L.,
Tokunaga, A. T., and Pickles, A.: Observations of the OH airglow emission,
Publ. Astron. Soc. Pac., 105, 940–944, <a href="https://doi.org/10.1086/133259" target="_blank">https://doi.org/10.1086/133259</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Mlynczak, M. G., Solomon, S., and Zaras, D. S.: An updated model for
O<sub>2</sub>(a<sup>1</sup>Δ<sub>g</sub>) concentrations in the mesosphere and lower
thermosphere and implications for remote-sensing of Ozone at 1.27&thinsp;µm, J. Geophys. Res., 98, 18639–18648, <a href="https://doi.org/10.1029/93JD01478" target="_blank">https://doi.org/10.1029/93JD01478</a>, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Mlynczak, M. G., Marshall, B. T., Martin-Torres, F. J., Russell, J. M.,
Thompson, R. E., Remsberg, E. E., and Gordley, L. L.: Sounding of the
Atmosphere using Broadband Emission Radiometry observations of daytime
mesospheric O<sub>2</sub>(a<sup>1</sup>Δ<sub>g</sub>) 1.27&thinsp;µm emission and
derivation of ozone, atomic oxygen, and solar and chemical energy deposition
rates, J. Geophys. Res., 112, D15306, <a href="https://doi.org/10.1029/2006JD008355" target="_blank">https://doi.org/10.1029/2006JD008355</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Ortland, D. A., Skinner, W. R., Hays, P. B., Burrage, M. D., Lieberman,
R. S., Marshall, A. R., and Gell, D. A.: Measurements of stratospheric winds
by the high resolution Doppler imager, J. Geophys. Res., 101,
10351–10363, <a href="https://doi.org/10.1029/95jd02142" target="_blank">https://doi.org/10.1029/95jd02142</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Rahnama, P., Rochon, Y. J., Mcdade, I. C., Shepherd, G. G., Gault, W.
A., and Scott, A.: Satellite Measurement of Stratospheric Winds and Ozone
Using Doppler Michelson Interferometry. Part I: Instrument Model and
Measurement Simulation, J. Atmos. Ocean. Tech., 23, 753–769,
<a href="https://doi.org/10.1175/JTECH1880.1" target="_blank">https://doi.org/10.1175/JTECH1880.1</a>, 2006.
</mixed-citation></ref-html>
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Russell, J. P. and Lowe, R. P.: Atomic oxygen profiles (80–94&thinsp;km)
derived from Wind Imaging Interferometer/Upper Atmospheric Research
Satellite measurements of the hydroxyl airglow: 1. Validation of technique,
J. Geophys. Res., 108, 4662, <a href="https://doi.org/10.1029/2003JD003454" target="_blank">https://doi.org/10.1029/2003JD003454</a>, 2003.

</mixed-citation></ref-html>
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P., McDade, I. C., Rochon, Y. J., Shepherd, M. G., Solheim, B. H., Wang, D.
Y., and Ward, W. E.: The Wind Imaging Interferometer (WINDII) on the Upper
Atmosphere Research Satellite: A 20 Year Perspective, Rev. Geophys., 50,
713–723, <a href="https://doi.org/10.1029/2012RG000390" target="_blank">https://doi.org/10.1029/2012RG000390</a>, 2012.
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Ward, W. E., Gault, W. A., Shepherd, G. G., and Rowlands, N.: The Waves
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<a href="https://doi.org/10.1117/12.450652" target="_blank">https://doi.org/10.1117/12.450652</a>, 2001.
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imaging interferometer for satellite observations of wind and temperature on
Mars, the Dynamics Atmosphere Mars Observer (DYNAMO), Proc. SPIE, 4833,
226–236, <a href="https://doi.org/10.1117/12.473823" target="_blank">https://doi.org/10.1117/12.473823</a>, 2002.
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Wu, K. J., Fu, D., Feng, Y. T., Li, J., Hao, X. B., and Li, F. Q.:
Simulation and application of the emission line O<sub>19</sub>P<sub>18</sub> of
O<sub>2</sub>(a<sup>1</sup>Δ<sub>g</sub>) dayglow near 1.27&thinsp;µm for wind
observations from limb-viewing satellites, Opt. Express, 26, 16984–16999,
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