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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-13-6007-2020</article-id><title-group><article-title>Validation of Aeolus wind products above the Atlantic Ocean</article-title><alt-title>Validation of Aeolus wind products above the Atlantic Ocean</alt-title>
      </title-group><?xmltex \runningtitle{Validation of Aeolus wind products above the Atlantic Ocean}?><?xmltex \runningauthor{H. Baars et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Baars</surname><given-names>Holger</given-names></name>
          <email>baars@tropos.de</email>
        <ext-link>https://orcid.org/0000-0002-2316-8960</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff5">
          <name><surname>Herzog</surname><given-names>Alina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Heese</surname><given-names>Birgit</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6743-926X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ohneiser</surname><given-names>Kevin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hanbuch</surname><given-names>Karsten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hofer</surname><given-names>Julian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6657-4072</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3 aff4">
          <name><surname>Yin</surname><given-names>Zhenping</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Engelmann</surname><given-names>Ronny</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4225-9961</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wandinger</surname><given-names>Ulla</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3676-9121</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Leibniz Institute for Tropospheric Research (TROPOS), Leipzig, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Meteorology, Leipzig University, Leipzig, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Electronic Information, Wuhan University, Wuhan, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan, China</institution>
        </aff>
        <aff id="aff5"><label>a</label><institution>now at: LEM-Software, Ingenieurbüro für Last- und Energiemanagement, Leipzig, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Holger Baars (baars@tropos.de)</corresp></author-notes><pub-date><day>11</day><month>November</month><year>2020</year></pub-date>
      
      <volume>13</volume>
      <issue>11</issue>
      <fpage>6007</fpage><lpage>6024</lpage>
      <history>
        <date date-type="received"><day>19</day><month>May</month><year>2020</year></date>
           <date date-type="rev-request"><day>25</day><month>May</month><year>2020</year></date>
           <date date-type="rev-recd"><day>31</day><month>July</month><year>2020</year></date>
           <date date-type="accepted"><day>9</day><month>September</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="d1e181">In August 2018, the first Doppler wind lidar in space called Atmospheric Laser Doppler Instrument (ALADIN) was launched on board the satellite Aeolus by the European Space Agency (ESA).
Aeolus measures profiles of one horizontal wind component (i.e., mainly the west–east direction) in the troposphere and lower stratosphere on a global basis.  Furthermore, profiles of aerosol and cloud properties can be retrieved via the high spectral resolution lidar (HSRL) technique.
The Aeolus mission is supposed to improve the quality of weather forecasts and the understanding of atmospheric processes.</p>
    <p id="d1e184">We used the opportunity to perform a unique validation of the wind products of Aeolus by utilizing the RV <italic>Polarstern</italic> cruise PS116 from Bremerhaven to Cape Town in November/December 2018.
Due to concerted course modifications, six direct intersections with the Aeolus ground track could be achieved in the Atlantic Ocean west of the African continent.
For the validation of the Aeolus wind products, we launched additional radiosondes and used the EARLINET/ACTRIS lidar Polly<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> for atmospheric scene analysis.
The six analyzed cases prove that Aeolus is able to measure horizontal wind speeds in the nearly west–east direction.
Good agreements with the radiosonde observations could be achieved for both Aeolus wind products – the winds observed in clean atmospheric regions called Rayleigh winds and the winds obtained in cloud layers called Mie winds (according to the responsible scattering regime).
Systematic and statistical errors of the Rayleigh winds were less than 1.5 and 3.3 m s<inline-formula><mml:math id="M2" 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>, respectively, when compared to radiosonde values averaged to the vertical resolution of Aeolus. For the Mie winds, a systematic and random  error of about 1 m s<inline-formula><mml:math id="M3" 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> was obtained from the six comparisons in different climate zones.
However, it is also shown that the coarse vertical resolution of 2 km in the upper troposphere, which was set in this early mission phase 2 months after launch, led to an underestimation of the maximum wind speed in the jet stream regions. In summary, promising first results of the first wind lidar space mission are shown and prove the concept of Aeolus for global wind observations.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e232">On 22 August 2018, the European Space Agency (ESA) launched the Earth Explorer Core mission Aeolus. This mission aims to demonstrate significant improvements in weather forecasting by measuring height-resolved wind profiles in the troposphere and lower stratosphere in order to advance the understanding of atmospheric dynamics and climate processes <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx55" id="paren.1"/>.
The satellite Aeolus has one instrument on board, namely the Atmospheric Laser Doppler Instrument (ALADIN). ALADIN is the first lidar (LIght Detection And Ranging) instrument on a European satellite. It is also the first space-borne instrument capable of measuring vertical profiles of one horizontal wind component on a global basis. Next to wind measurements, aerosol properties can be obtained as a spin-off product <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx20" id="paren.2"/> via the high spectral resolution lidar (HSRL) technique <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx15" id="paren.3"/>, which is a space-borne novelty as well. Thus,<?pagebreak page6008?> one of the mission goals is to prove the concept of the new technology in space.</p>
      <p id="d1e244">For precise weather forecasts, the numerical weather prediction (NWP) models rely on the data assimilation of worldwide meteorological observations. However, the global meteorological observing system does not provide  equally distributed wind observations in time and space. The global wind observations that were assimilated at the European Centre for Medium-Range Weather Forecasts (ECMWF) in late 2016 <xref ref-type="bibr" rid="bib1.bibx10" id="paren.4"/> are mainly obtained by aircrafts and radiosondes and via atmospheric motion vectors (AMVs). AMVs describe the method of observing the movement of objects (like clouds or water vapor fields) from space and derive the wind velocity from this movement (e.g., <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.5"/>). However, the coverage of AMVs in the lower stratosphere is poor, and there are only a few aircraft and radiosonde measurements in the lower stratosphere. Furthermore, the main input of aircraft measurements is obtained in Europe and the United States of America and is not globally distributed. The global meteorological observing system is therefore suffering from a shortage of observations in specific regions, especially in the Southern Hemisphere, in the lower stratosphere, and over the oceans.
The aim of Aeolus is to fill these gaps by providing global horizontal wind profiles at altitudes from 0 to 30 km that are ready for data assimilation in NWP models <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx26" id="paren.6"/>.</p>
      <p id="d1e256">Within the German initiative EVAA (Experimental Validation and Assimilation of Aeolus observations; e.g., <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx23" id="altparen.7"/>), calibration/validation (CAL/VAL) activities of this space mission have been performed by the Ludwig Maximilian University of Munich (LMU), the Leibniz Institute of Tropospheric Research (TROPOS), the German Meteorological Service (Deutscher Wetterdienst, DWD), and the DLR (Deutsches Zentrum für Luft- und Raumfahrt).  The aim of EVAA is to validate the wind and aerosol products of Aeolus and to quantify the benefits of these new measurements for weather forecasting by assimilation experiments.</p>
      <p id="d1e262">As one part of these activities, the regular participation of TROPOS on RV <italic>Polarstern</italic> <xref ref-type="bibr" rid="bib1.bibx35" id="paren.8"/> cruises within the OCEANET project <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx31 bib1.bibx49 bib1.bibx6" id="paren.9"/> offered the unique opportunity  to perform ground-based validation above the Atlantic Ocean, a region for which only limited observational data are available.
The RV <italic>Polarstern</italic> cruise PS116 from Bremerhaven, Germany, to Cape Town, Republic of South Africa, took place from 10 November 2018 to 11 December 2018 <xref ref-type="bibr" rid="bib1.bibx24" id="paren.10"/>, shortly after the launch of the satellite. Starting in the northern midlatitudes and ending in the southern subtropical region at a latitude of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">33.92</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>,
PS116 covered the northern midlatitude region with frequent westerly winds, the subtropical jet stream region, the trade winds region, and the Intertropical Convergence Zone (ITCZ), before finally ending up in the subtropical region around Cape Town.</p>
      <p id="d1e300">The wind validation could be realized using radiosonde launches provided by the German Meteorological Service DWD on RV <italic>Polarstern</italic> <xref ref-type="bibr" rid="bib1.bibx51" id="paren.11"/>. We also utilized the multiwavelength Raman polarization lidar Polly<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx3" id="paren.12"/> in order to characterize the atmospheric state above RV <italic>Polarstern</italic>, which is part of the European Research Infrastructure EARLINET/ACTRIS (European Aerosol Research Lidar Network/European Research Infrastructure for the Observation of Aerosol, Clouds and Trace Gases).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Wind lidar mission Aeolus</title>
      <p id="d1e332">In 1999, ESA selected the Atmospheric Dynamics Mission (ADM; <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.13"/>) as the second Earth Explorer Core mission. The name Aeolus was inspired by the keeper of the wind in Greek mythology <xref ref-type="bibr" rid="bib1.bibx27" id="paren.14"/>. ALADIN, the instrument on board, is a high-spectral-resolution (HSR) elastic backscatter lidar with a Nd:YAG laser operating at a wavelength of around 355 nm <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx41 bib1.bibx27 bib1.bibx37 bib1.bibx60" id="paren.15"/>. The laser pulses  are circularly polarized and are emitted with a frequency of 50.5 Hz. The wind profiles are obtained from backscattering processes of the laser light pulses at moving air molecules and particles <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx57 bib1.bibx41 bib1.bibx48" id="paren.16"/>. The signals are separately detected by two different receiver channels: the Rayleigh channel for backscattering from molecules and the Mie channel for backscattering from particles. As a consequence, two independent wind measurements can be obtained. Furthermore, it provides the possibility to measure the particle extinction and the particle backscatter coefficients independently <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx20 bib1.bibx2 bib1.bibx40 bib1.bibx22" id="paren.17"/>.</p>
      <p id="d1e350">Aeolus has a weekly repeating, polar-sun-synchronous orbit with an inclination of 97<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and a mean altitude of 320 km <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx55" id="paren.18"/>. One orbit period has a duration of about 90 min <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx55 bib1.bibx58" id="paren.19"/>. The ground track velocity is about 7200 m s<inline-formula><mml:math id="M8" 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>.  The line of sight (LOS) describes the field of view in which the backscattered light from the emitted laser pulses can be collected by the lidar telescope. It has an angle of 35<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> versus nadir to be able to measure the horizontal line-of-sight (HLOS) wind velocity. It should be mentioned that this angle changes  to 37.6<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> on the measurement ground point due to the earth's curvature <xref ref-type="bibr" rid="bib1.bibx43" id="paren.20"/>.</p>
      <p id="d1e402">Besides in strong convection cases, the vertical wind velocity is small compared to the horizontal wind. Thus, the vertical wind component is neglected when calculating the horizontal wind speed from the Aeolus LOS observations.<?pagebreak page6009?> Furthermore, the LOS is orthogonal to the flight direction in order to minimize the effect of the satellite's velocity on the wind measurements. The orbit is aligned such that Aeolus flies along the day/night border facing towards the night side to minimize the solar background radiation <xref ref-type="bibr" rid="bib1.bibx32" id="paren.21"/>. Thus, the overpasses are either in the morning (descending orbit) at around 06:00 local solar time or in the evening (ascending orbit) at around 18:00 local solar time. Passing from north to south in the morning, Aeolus' viewing direction has an azimuth angle of around 100<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. This leads to a measurement of the mainly horizontal west–east wind component, having a positive sign for easterly winds along the HLOS. Consequently, the sign is opposite for the Aeolus track from south to north, having an azimuth angle of around 260<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e426">For the Aeolus mission, the accumulation of the return signal of 19 outgoing laser pulses is defined as one <italic>measurement</italic> and corresponds to a horizontal length of <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">2.85</mml:mn></mml:mrow></mml:math></inline-formula> km. One <italic>observation</italic> is the average of several measurements and aims to be about 30 measurements at <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula> km horizontal resolution for Rayleigh wind observations. The number of measurements included in one observation can be modified depending on the desired integration length. The receiver has 24 vertical range bins, and wind profiles can be obtained between 0 and 30 km with a vertical resolution between 250 and 2 km <xref ref-type="bibr" rid="bib1.bibx43" id="paren.22"/>.</p>
      <p id="d1e459">Aeolus, i.e., ALADIN, is able to retrieve wind from the Doppler shift caused by particles – these are the so-called Mie winds – but also in clean atmosphere due to the Doppler shift caused by molecules – these are the so-called Rayleigh winds. The technique on board the satellite and the respective algorithms to retrieve the wind are described in <xref ref-type="bibr" rid="bib1.bibx53" id="text.23"/>, <xref ref-type="bibr" rid="bib1.bibx1" id="text.24"/>, <xref ref-type="bibr" rid="bib1.bibx57" id="text.25"/>, <xref ref-type="bibr" rid="bib1.bibx42" id="text.26"/>, <xref ref-type="bibr" rid="bib1.bibx41" id="text.27"/>, <xref ref-type="bibr" rid="bib1.bibx27" id="text.28"/>, <xref ref-type="bibr" rid="bib1.bibx43" id="text.29"/>, and <xref ref-type="bibr" rid="bib1.bibx48" id="text.30"/>.</p>
      <p id="d1e487">Products of Aeolus are delivered at several data levels <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx27 bib1.bibx21" id="paren.31"/>. For the end user, only Level 2 is of interest, which is where all necessary calibration and instrument corrections have been performed. The calibrated and fully processed  HLOS wind is delivered in the  Level 2B (L2B) data <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx27" id="paren.32"/>. This is the main wind product of Aeolus. There are also Level 2C data which are vector wind data resulting from ECMWF model analysis after the assimilation of Level 2B profiles. In Level 2A (L2A), the aerosol and cloud spin-off products (optical properties) are delivered <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx20 bib1.bibx21 bib1.bibx22" id="paren.33"/> but will not be  discussed in this paper.</p>
      <p id="d1e499">The observational requirements <xref ref-type="bibr" rid="bib1.bibx27" id="paren.34"/> for the Aeolus mission are that the vertical resolution should achieve 500 m in the planetary boundary layer (PBL), 1 km in the troposphere, and 2 km in the lower stratosphere. The requirements for the horizontal integration length per observation depend on the measurement type and altitude. The precision of the HLOS component aims to be 1 m s<inline-formula><mml:math id="M15" 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> within the PBL, 2.5 m s<inline-formula><mml:math id="M16" 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 troposphere, and 3 m s<inline-formula><mml:math id="M17" 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 lower stratosphere. As the goal is to use the Aeolus observations to improve the weather forecast by data assimilation, the data need to be available within 3 h after the measurement has been taken <xref ref-type="bibr" rid="bib1.bibx43" id="paren.35"/>.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data set and methodology</title>
      <p id="d1e552">For the validation of the Aeolus wind products, Level 2B  is the product of choice for comparisons with the radiosonde measurements. These are the fully calibrated and processed HLOS winds ready for data assimilation in NWP models. The output of the product includes different classifications and quality parameters which need to be chosen correctly. The use of these parameters is described in the following.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Atmospheric classification</title>
      <p id="d1e562">The Level 2B product provides four separate wind profiles for one atmospheric scene according to the atmospheric classification performed in the processor chain <xref ref-type="bibr" rid="bib1.bibx48" id="paren.36"/>. These four wind “types” are as follows.
<list list-type="bullet"><list-item>
      <p id="d1e570">Rayleigh<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> is wind derived in atmospheric regions without any particle backscatter, thus in clear skies using the Rayleigh methodology.</p></list-item><list-item>
      <p id="d1e583">Rayleigh<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> is wind derived from measurements with non-zero particle backscatter, thus in a cloudy or particle-loaded environment using the Rayleigh methodology.</p></list-item><list-item>
      <p id="d1e596">Mie<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> is wind derived in atmospheric regions with zero particle backscatter using the Mie methodology, which, since in clear-sky conditions no Mie wind should be detectable, is only possible if the classification failed to detect particle backscatter.</p></list-item><list-item>
      <p id="d1e609">Mie<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> is wind derived in atmospheric regions with non-zero particle backscatter using the Mie methodology.</p></list-item></list></p>
      <p id="d1e621">Each range bin of the measurements (about 2.85 km horizontal scale) in the observation (87 km horizontal scale equals 30 measurements) is analyzed individually for the  atmospheric scene classification <xref ref-type="bibr" rid="bib1.bibx47" id="paren.37"/>.
The classification can be done by using the scattering ratio, a feature-finding algorithm, or the particle extinction coefficient as criteria <xref ref-type="bibr" rid="bib1.bibx48" id="paren.38"/>. The currently applied method by ESA is the use of  the scattering ratio which is determined as part of the Level 1B (L1B) processing <xref ref-type="bibr" rid="bib1.bibx43" id="paren.39"/> and used as input for the L2B processing <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx8" id="paren.40"/>. For this, a predefined scattering ratio threshold value as a function of altitude is used. If the scattering ratio is higher than the threshold<?pagebreak page6010?> value, particle scattering is considered to be dominant. Below the threshold, only molecular scattering is assumed. The range bins assigned to the same classification type are accumulated within the corresponding observation. This accumulation of the measurements improves the signal-to-noise ratio and provides a large-scale  wind observation which is ready for the NWP data assimilation <xref ref-type="bibr" rid="bib1.bibx48" id="paren.41"/>. The Rayleigh and Mie wind retrieval algorithms are then each applied to both classes within the observation.
Thus, one observation comprises four different wind types for each range bin, namely Rayleigh<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, Rayleigh<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>, Mie<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, and Mie<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e676">To sum up, each observation with a horizontal length of 87 km consists of individual measurements with a horizontal length of about 3 km. Within the observation, the measurements are grouped into the four different classifications, namely Rayleigh<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, Rayleigh<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>, Mie<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, and Mie<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>.  As the cloud and aerosol situation is usually not homogeneous within the 87 km, only the measurements which are useful for the respective classification are taken into account for the wind retrieval. If, for example, a cloud layer exists in the first 21 km of the observation, the Mie<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> wind product considers only the measurements of these first 21 km. As this procedure is not only applied to the profiles but for each vertical range bin individually, the coordinates of the Aeolus observation profiles given at a certain range bin can be different.
While, for example, at 4 km altitude a cloud is observed for the first 21 km, another one is observed at 7 km altitude in the last 30 km of the 87 km horizontal path. Then the coordinates given for the  Rayleigh<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds at 4 km altitude are the mean coordinates of the first 21 km, while for 7 km height, the mean coordinates of the last 30 km are used.</p>
      <p id="d1e743">To make it even more difficult, in principle, the Mie and Rayleigh wind observations can have a different horizontal resolution. In this work, however,  we analyzed early mission data obtained shortly after launch during the commissioning phase of Aeolus, and at this time the horizontal resolution for both Rayleigh and Mie winds was equal and about 87 km. As Mie<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds benefit from strong backscatter from cloud particles, the horizontal resolution has in the meantime increased to 12 km due to the significantly higher signal-to-noise ratio of this wind “type”. The Rayleigh horizontal resolution is, however, kept at 87 km.</p>
      <p id="d1e756">Two out of this four wind products, namely the Rayleigh<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and the Mie<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds, are the main targets for the operational use of Aeolus data in NWP. For an accurate Mie wind measurement, a strong particle backscatter is required, whereas the best quality of the Rayleigh measurements is achieved in clear-sky conditions. The Rayleigh<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> products may also deliver  usable wind measurements, but contamination of Mie scattering needs to be corrected first, which is still at an experimental stage. Thus, we will use only  Rayleigh<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> products for our analysis.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Error threshold and validity flag</title>
      <p id="d1e812">The Level 2B product provides a HLOS error estimation for each range bin in the observation profiles. We only consider wind data with errors of less than 8 m s<inline-formula><mml:math id="M39" 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 Rayleigh<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and of less than 5 m s<inline-formula><mml:math id="M41" 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 Mie<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds.  These error thresholds are recommendations from ESA/DISC (Aeolus Data Science and Innovation Cluster) <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx54 bib1.bibx46 bib1.bibx28" id="paren.42"/> for the Aeolus CAL/VAL teams. These thresholds are chosen subjectively based on the compromise between the number of observations that pass quality control and the overall quality of the data set <xref ref-type="bibr" rid="bib1.bibx47" id="paren.43"/>.</p>
      <p id="d1e864">The validity flag <xref ref-type="bibr" rid="bib1.bibx8" id="paren.44"/> considers the validity of the products. Several different technical, instrumental, and retrieving checks account for this flag. It has either the value 1 (valid) or 0 (not valid). We only use Aeolus products with a validity flag of 1.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Hot pixels</title>
      <p id="d1e878">During the commissioning phase of Aeolus, it was noticed that pixels with an increased dark current occurred in the memory zone of both ACCDs (accumulation charge coupled devices) in the detector unit of ALADIN <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx33" id="paren.45"/>. These pixels are called hot pixels, and their increased dark current can have a changing magnitude with time.  As no correction procedure was available at the early mission period we focused on, we skipped all height bins in which a hot pixel occurred as they significantly bias the Aeolus wind and aerosol products. For our analyzed data period, these are range bins 2, 13, 16, and 24 of the Mie products and range bins 5, 11, and 15 of the Rayleigh products (note that according to ESA's nomenclature, range bin 1 is the highest and range bin 24 the lowest of the profile). It is worth noting that in the meantime, a hot pixel correction has been in place for Aeolus data since 14 June 2019.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Observation geometry</title>
      <p id="d1e893">As Aeolus provides only the wind along the HLOS, which is mainly the west–east wind component, the radiosonde measurements are projected to the HLOS of Aeolus using the following formula:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M43" display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">RS</mml:mi><mml:mi mathvariant="normal">HLOS</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">RS</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">Aeolus</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">RS</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">RS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> describes the total horizontal wind velocity measured by the radiosonde, <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">RS</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the wind direction measured with the radiosonde, and <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">Aeolus</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the azimuth angle of Aeolus which is obtained from the Level 2B data and differs depending on range bin and global position.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page6011?><sec id="Ch1.S4">
  <label>4</label><title>Aeolus validation</title>
      <p id="d1e981">The ship-borne validation took place during the RV <italic>Polarstern</italic> cruise PS116 (10 November 2018 to 11 December 2018) from Bremerhaven, Germany, to Cape Town, Republic of South Africa  <xref ref-type="bibr" rid="bib1.bibx24" id="paren.46"/>. Figure <xref ref-type="fig" rid="Ch1.F1"/> shows the ground tracks of Aeolus obtained with ESA's Earth observation Swath and Orbit Visualization (ESOV) tool along the track of the ship (white thick line). Each color indicates a different weekday of the Aeolus overpass. Along the cruise, six points of intersection with the ground tracks of Aeolus within a 150 km radius around RV <italic>Polarstern</italic> were possible for which additional radiosondes could be launched (yellow circles).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e997">Ground tracks of Aeolus (thick colored lines). Each color represents another weekday as indicated in the plot. The thick white line represents the ship track of RV <italic>Polarstern</italic>. The yellow circles indicate the  points of intersection of RV <italic>Polarstern</italic> and the Aeolus ground track for which additional radiosondes were launched.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f01.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1015">Overview of Aeolus validation cases performed on board RV <italic>Polarstern</italic> with radiosonde (RS) launches during cruise PS116. The date, the location of RV <italic>Polarstern</italic> during the RS launch, the launch time, the time of the exact Aeolus overpass, and the distance between the radiosonde and the closest Aeolus wind profile are given. The last column indicates whether Aeolus had an ascending node during local evening or an descending node during local morning.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Date</oasis:entry>
         <oasis:entry colname="col2">RS launch location</oasis:entry>
         <oasis:entry colname="col3">RS launch</oasis:entry>
         <oasis:entry colname="col4">Aeolus overpass</oasis:entry>
         <oasis:entry colname="col5">Closest</oasis:entry>
         <oasis:entry colname="col6">Orbit type</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">time</oasis:entry>
         <oasis:entry colname="col4">time</oasis:entry>
         <oasis:entry colname="col5">distance</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">27 Nov 2018</oasis:entry>
         <oasis:entry colname="col2">3.573<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 14.992<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">17:59 UTC</oasis:entry>
         <oasis:entry colname="col4">19:01 UTC</oasis:entry>
         <oasis:entry colname="col5">134 km</oasis:entry>
         <oasis:entry colname="col6">Ascending</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">29 Nov 2018</oasis:entry>
         <oasis:entry colname="col2">1.682<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 10.879<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">05:28 UTC</oasis:entry>
         <oasis:entry colname="col4">06:34 UTC</oasis:entry>
         <oasis:entry colname="col5">40 km</oasis:entry>
         <oasis:entry colname="col6">Descending</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2 Dec 2018</oasis:entry>
         <oasis:entry colname="col2">10.653<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 3.663<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">17:29 UTC</oasis:entry>
         <oasis:entry colname="col4">18:31 UTC</oasis:entry>
         <oasis:entry colname="col5">100 km</oasis:entry>
         <oasis:entry colname="col6">Ascending</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3 Dec 2018</oasis:entry>
         <oasis:entry colname="col2">11.922<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S 2.627<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col3">05:00 UTC</oasis:entry>
         <oasis:entry colname="col4">05:58 UTC</oasis:entry>
         <oasis:entry colname="col5">36 km</oasis:entry>
         <oasis:entry colname="col6">Descending</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6 Dec 2018</oasis:entry>
         <oasis:entry colname="col2">22.725<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 7.141<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col3">16:48 UTC</oasis:entry>
         <oasis:entry colname="col4">17:49 UTC</oasis:entry>
         <oasis:entry colname="col5">47 km</oasis:entry>
         <oasis:entry colname="col6">Ascending</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10 Dec 2018</oasis:entry>
         <oasis:entry colname="col2">31.726<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S 14.156<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col3">03:29 UTC</oasis:entry>
         <oasis:entry colname="col4">04:32 UTC</oasis:entry>
         <oasis:entry colname="col5">111 km</oasis:entry>
         <oasis:entry colname="col6">Descending</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1331">The radius was chosen as a compromise between the number of possible points of intersection and a reasonable limit for the distance between the two individual measurements (radiosonde versus Aeolus profiles). For the wind validation, radiosondes of the type RS41 <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx30" id="paren.47"/> produced by the company Vaisala (Finland)  and provided by the German Meteorological Service DWD <xref ref-type="bibr" rid="bib1.bibx51" id="paren.48"/> with a vertical range up to 30 km were launched 1 h prior to the Aeolus overpass.  An overview of the six obtained validation cases for the cruise PS116 is given in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>
      <p id="d1e1342">For the presented validation, we have used the Aeolus operational product (baseline 2B02 with processor version 03.01) available at the time of the overpass. For this product, a correction of the hot pixels as mentioned above was not yet performed; thus, we skip the respective height bins.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Case studies for the validation of the Aeolus wind products</title>
      <p id="d1e1352">In the following, the performance of Aeolus will be discussed intensively by means of two dedicated case studies. The other four validation cases are presented afterwards to provide an overview of the measurements as all are used for a statistical analysis presented in the respective section. An overview of all six validation cases is given in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Case study 1: 29 November 2018</title>
      <p id="d1e1364">In the first case study, the observations of 29 November 2018 (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>) which are representative of a tropical wind regime are discussed. For this case, the Aeolus ground track could be reached within a distance of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> km (Table <xref ref-type="table" rid="Ch1.T1"/>) after RV <italic>Polarstern</italic> had just passed the Equator.</p>
      <p id="d1e1384">On board RV <italic>Polarstern</italic> was also the portable multiwavelength Raman polarization lidar Polly<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> of the OCEANET facility <xref ref-type="bibr" rid="bib1.bibx16" id="paren.49"/>. With this lidar, aerosol and cloud properties can be classified by shape, size, and absorption behavior <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4" id="paren.50"/>. The observations with this EARLINET/ACTRIS lidar are used to characterize the atmospheric state above RV <italic>Polarstern</italic>.
Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the temporal evolution of the attenuated backscatter coefficient (calibrated range-corrected signal) to get an impression of the atmospheric scenery for the time around overpass at 06:30 UTC.  A cloud layer at around 2 km was observed exactly during the Aeolus overpass (red rectangle). The lidar could not penetrate this optically thick cloud.
Below this cloud, the marine boundary layer (BL) was located as indicated by moderate backscattering (green colors). No signal from heights below 400 m can be received due to the incomplete overlap between the receiver field of view and the laser beam of the lidar. Having a look at the period without cloud occurrence after the Aeolus overpass (after ca. 07:25 UTC), an aerosol layer up to around 4 km is visible (greenish-bluish colors).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1413">Time–height plot of the attenuated backscatter coefficient at 1064 nm of the Raman polarization lidar Polly<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> on board RV <italic>Polarstern</italic> around the time of the Aeolus overpass (red rectangle) on 29 November 2018.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f02.png"/>

          </fig>

      <p id="d1e1435">As Aeolus is not nadir-pointing but is taking measurements 35<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> off-nadir, the horizontal distance of the Aeolus observations to RV <italic>Polarstern</italic> is different for the different heights in the Aeolus wind profile. Also, the radiosonde drifts along the wind direction; thus, the distance between the  Aeolus measurements and the radiosonde changes during the ascent. The effect of both is illustrated for this case study in Fig. <xref ref-type="fig" rid="Ch1.F3"/> for the two closest Rayleigh (green and blue) and Mie (purple and cyan) observation profiles. While the horizontal distance to the Mie<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> profiles varies between 10 and 55 km in the lower 5 km (remember the accumulation of measurements within one observation as discussed above), the distance to the Rayleigh<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> profile has only minor changes. These variations in the distance are not only the result of the<?pagebreak page6012?> radiosonde drift but in particular because of the Aeolus classification algorithm, as discussed above. The mean distances averaged over all heights are those indicated in the legend of Fig. <xref ref-type="fig" rid="Ch1.F3"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1475">The distance between the radiosonde and the geolocation of the single wind observations for the two closest Mie<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (magenta and cyan) and Rayleigh<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (green and blue) profiles.</p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f03.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1504">Wind velocity profiles measured by the radiosonde (red) with the two closest Aeolus Level 2B (L2B) Rayleigh<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (green and blue) and Mie<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (magenta and cyan) profiles on 29 November 2018. The radiosonde profile is shown with its highest resolution <bold>(a)</bold> and with an adjusted resolution to the Aeolus range bin width <bold>(b)</bold>. The radiosonde measurements are projected to the HLOS of Aeolus.</p></caption>
            <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f04.png"/>

          </fig>

      <p id="d1e1537">Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the HLOS wind velocity profiles measured by the radiosonde (red) and the two closest Aeolus Rayleigh<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (green and blue) and  Mie<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (magenta and cyan) profiles. Figure <xref ref-type="fig" rid="Ch1.F4"/>a provides the radiosonde profile with its highest vertical resolution, while in Fig. <xref ref-type="fig" rid="Ch1.F4"/>b, the vertical resolution of the radiosonde measurements is aggregated in order to match exactly the Aeolus range bin setting. The given distance in the legend of Fig. <xref ref-type="fig" rid="Ch1.F4"/> is the mean distance regarding all range bins.
The uncertainty estimation of the radiosonde wind velocity profile is based on calculations of the Global Climate Observing System Reference Upper-Air Network (GRUAN) which estimated an uncertainty between 0.4 and 1 m s<inline-formula><mml:math id="M71" 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 wind velocity and <inline-formula><mml:math id="M72" display="inline"><mml:mn mathvariant="normal">1</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for the wind direction <xref ref-type="bibr" rid="bib1.bibx9" id="paren.51"/>. Even though this reference considers the Vaisala radiosonde type RS92  and not RS41, which was used on RV <italic>Polarstern</italic>, there is no significant difference in the uncertainty as both radiosonde types are based on the same technique to derive wind velocity and direction <xref ref-type="bibr" rid="bib1.bibx30" id="paren.52"/>.</p>
      <p id="d1e1604"><?xmltex \hack{\newpage}?>Regarding the Mie<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> profiles in Fig. <xref ref-type="fig" rid="Ch1.F4"/>, only measurements at the altitudes of the cloud layer between 1.5 and 2 km (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>) were obtained. Below the cloud, ALADIN could not receive any signal as the cloud layer was optically too thick to be penetrated by the laser beam. In Fig. <xref ref-type="fig" rid="Ch1.F4"/>a, it can be seen that the Mie<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> measurements are in very good agreement with the radiosonde measurements. Considering the horizontal distance of both observations, one can assume that the cloud observed above RV <italic>Polarstern</italic> was horizontally homogeneous, as well as the horizontal winds in the lowermost troposphere.  In Fig. <xref ref-type="fig" rid="Ch1.F4"/>b,  a deviation of the adapted low-resolution radiosonde observations to the Mie<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> measurements centered at an altitude of 2.5 km is obvious. The reason for this seems to be the small-scale vertical wind variations observed  by the radiosonde (short and rapid decrease in the wind velocity between 2.1 and 2.3 km and a step increase above). The disagreement arises be<?pagebreak page6013?>cause, with the Aeolus Mie algorithm, the wind speed at cloud top is measured, but, due to the range bin thickness of 1 km, the top height of this cloud cannot be correctly assigned. Thus, the Mie wind speed measured at cloud top is assigned to the center of the 1 km thick range bin disregarding the true top height of the cloud. As a consequence, the agreement to the high-resolution radiosonde profile is much better (almost identical values at 2.5 km) than to the radiosonde profiles binned to Aeolus resolution. The presence of cloud or aerosol layers in the measurement bins was already discussed prior to launch by <xref ref-type="bibr" rid="bib1.bibx56" id="text.53"/>, and it was shown that biases of more than 0.4 m s<inline-formula><mml:math id="M77" 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> can occur when the cloud top is not in the center of the range bin. This statement is confirmed by our observations and shows that a higher vertical resolution is in principle preferable and valuable.</p>
      <p id="d1e1663">Regarding the Rayleigh<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> profiles, a good agreement was found for the winds between 4 and 6 km, while a positive bias (systematic error) in the region between 7.5 and 12 km was observed for the two closest observations. Above 12 km, a good agreement is found, considering also the extent of the range bins at this altitude of about 2 km. Below 4 km, no measurements are available due to the low signal-to-noise ratio and the cloud layer at 2.5 km. In summary, the  Rayleigh<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds follow well the shape of the wind profile from 4 to 20 km.</p>
      <p id="d1e1684">Nevertheless, as can be seen in Fig. <xref ref-type="fig" rid="Ch1.F4"/>a, the maximum wind velocity occurs just below the tropopause at around 15 km, having an opposite direction (westerly winds) than in the lower troposphere (easterly winds). A maximum absolute wind velocity higher than 25 m s<inline-formula><mml:math id="M80" 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> was observed in this height region according to the high-resolution radiosonde profile.
However, the Rayleigh<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind measurements of Aeolus are not able to detect such high wind speeds. This is in principle no measurement error of Aeolus. The reason for the disagreement is the coarse range resolution of the Aeolus measurements in the higher troposphere/lower stratosphere at this time of the mission, as can been seen in Fig. <xref ref-type="fig" rid="Ch1.F4"/>b.
Here it becomes obvious that the resolution is simply too coarse to recognize the strong wind velocity in a vertically narrow atmospheric layer. In this height region, the high-resolution radiosonde wind speed (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a) is about 8 m s<inline-formula><mml:math id="M82" 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> higher than compared to the radiosonde velocity aggregated to the range bin setting of Aeolus (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b).</p>
      <p id="d1e1729">At that time of the mission, i.e., shortly after the launch, the Aeolus range bins had a resolution of 250 m up to 2 km height to perform necessary ground echo characterizations. Above this height, the vertical resolution was 1 km up to the altitude of 13 km, and then it was set to 2 km for higher altitudes as a consequence of the limitations of 24 range bins in total. Thus, considering the vertical binning, the Aeolus observations are correct, while they miss important information on the tropical jet stream speed as impressively shown here in this one example. As a consequence,  the range bins were changed to a resolution of 1 km up to an altitude of 19 km on 26 February 2019 to provide the NWP models with much more detailed wind information in a height region which is very important for weather forecasts while accepting the drawback of an increased random error.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1734">Aeolus HLOS winds on 29 November 2018.  Rayleigh<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (left) and Mie<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (right) HLOS winds are shown for the overpass around 06:34 UTC. The location of RV <italic>Polarstern</italic> 800 km off the shore of Liberia is indicated by the yellow pin. The figure  was created with the Aeolus visualization tool VirES (<uri>https://aeolus.services/</uri>).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f05.png"/>

          </fig>

      <p id="d1e1767">Figure <xref ref-type="fig" rid="Ch1.F5"/> provides an overview of the Aeolus wind profiles along the ground track during the overpass on 29 November 2018 as visualized with ESA's VirES tool (<uri>https://aeolus.services/</uri>, last access: 8 May 2020, <xref ref-type="bibr" rid="bib1.bibx50" id="altparen.54"/>). The location of RV <italic>Polarstern</italic> during the radiosonde launch is indicated by the yellow pin. On the left side, the<?pagebreak page6014?> Rayleigh<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind observations are shown, while on the right side, the Mie<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> observations are plotted.</p>
      <p id="d1e1801">Noticeable is the good coverage of the Rayleigh<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds at altitudes higher than 3–4 km above sea level (a.s.l.) along the whole track. The pronounced tropical jet with westerly winds as observed by the radiosonde is seen in all Rayleigh<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> observations as a prominent feature (reddish colors). In the lower troposphere, easterly winds prevail (bluish colors) throughout the whole region.  Mie<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds are available only in the lowermost 3 km where low-level clouds occurred and sporadically at high altitudes most probably due to the occurrence of cirrus clouds. The Mie<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds show steady easterly winds at the cloud layer at around 2.5 km, which is in agreement with the Rayleigh<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds, as discussed above. However, a short statement is needed for the obviously strong westerly winds just above these easterly winds at an altitude of 3 km. These westerly winds are simply an artifact caused by the hot pixel at range bin 13 which was left out in the analysis presented in Fig. <xref ref-type="fig" rid="Ch1.F4"/> but is  visualized by VirES in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. Thus, these wind measurements at this altitude (indicated by reddish colors just above the bluish colors in the lowermost profile) should be neglected until the hot pixel correction is in place.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Case study 2: 6 December 2018</title>
      <p id="d1e1862">The second case study discussed in this paper is from 6 December 2018 when RV <italic>Polarstern</italic> was west of Namibia (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and thus already in the subtropical region. The radiosonde was launched around 50 km away from the Aeolus ground track.</p>
      <p id="d1e1870">The lidar observations shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/> indicate no clouds at all but aerosol up to 800 m  around the overpass at about 17:50 UTC. Low clouds with a bottom height at around 750 m a.s.l. were observed before 15:00 UTC and after 20:30 UTC.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e1877">Time–height plot of the attenuated backscatter coefficient at 532 nm around the time of the Aeolus overpass (red rectangle) on 6 December 2018.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e1889">Wind velocity profiles measured by the radiosonde (red) with the two closest Aeolus L2B Rayleigh<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (green and blue) and Mie<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (magenta and cyan) profiles on 6 December 2018. The radiosonde profile is shown with its highest resolution <bold>(a)</bold> and with an adjusted resolution to the Aeolus range bin width <bold>(b)</bold>. The radiosonde measurements are projected to the HLOS of Aeolus.</p></caption>
            <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f07.png"/>

          </fig>

      <p id="d1e1922">These clouds might be the reason for the two obtained Mie<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> observations below 1 km a.s.l. as presented in Fig. <xref ref-type="fig" rid="Ch1.F7"/>.
As described above, if during the 87 km horizontal accumulation distance some measurements are classified as cloudy, a valid Mie<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> wind is obtained for the whole observation. Thus, considering the distance of RV <italic>Polarstern</italic> to the Aeolus ground track and the Aeolus horizontal<?pagebreak page6015?> resolution, together with the cloud occurrence before and after the overpass as detected with the lidar, it is quite obvious that clouds were partly existent in the Aeolus observational domain and could be used for the Mie wind retrieval.</p>
      <p id="d1e1948">The winds obtained with the Mie methodology in atmospheric regions classified as cloudy agree perfectly with the HLOS wind obtained from the radiosondes. Also, the vertically aggregated radiosonde velocities as shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>b do match with the  Mie<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds due to the relatively high vertical resolution of Aeolus in the lowermost 2 km of the atmosphere.</p>
      <p id="d1e1962">Valid wind observations retrieved with the Rayleigh methodology are available for altitude ranges between 4 and 21 km, having its maximum at an altitude of around 10.5 km. As RV <italic>Polarstern</italic> crossed the Aeolus ground track in the evening, the positive wind speed values in Fig. <xref ref-type="fig" rid="Ch1.F7"/> indicate westerly winds. Again, the issue concerning the low resolution of Aeolus at higher altitudes is obvious in this comparison. Even though the low-resolved radiosonde measurements fit with the Aeolus ones, the high-resolved radiosonde profile (Fig. <xref ref-type="fig" rid="Ch1.F7"/>a) shows many more and stronger changes in wind velocity, e.g., at 17 km height compared to the low-resolution one (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e1976">Aeolus HLOS winds on 6 December 2018 off the shore of Namibia. Rayleigh<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (left) and Mie<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (right) HLOS winds are shown for the overpass around 17:50 UTC. The location of RV <italic>Polarstern</italic> is indicated by the yellow pin. The figure  was created with the Aeolus visualization tool VirES (<uri>https://aeolus.services/</uri>).</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f08.png"/>

          </fig>

      <p id="d1e2010">It is interesting to note that in the case of the Rayleigh<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> observations, the profile with the further distance (blue line) to RV <italic>Polarstern</italic> is in better agreement with the radiosonde measurements than the closer one (green line). Especially between 7 and 12 km, it is very similar to the radiosonde profile. Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the wind profiles along the Aeolus track close to RV <italic>Polarstern</italic>. There was a region with strong winds at higher altitudes just south of the research vessel – namely the subtropical jet. Obviously, there was a significant horizontal (north–south) gradient in high-altitude winds at the time of the overpass, as seen in Fig. <xref ref-type="fig" rid="Ch1.F8"/>.  Nevertheless, the profile represented by the green line in Fig. <xref ref-type="fig" rid="Ch1.F7"/> was measured more southwardly along the Aeolus track than the “blue profile”. As the radiosonde drifted about 20 km to the north during its ascent, it is a logical consequence that the Aeolus profile measured more northerly (blue) fits better with the radiosonde.
Therefore, this analysis confirms that  Aeolus is able to capture well horizontal wind gradients at several heights with its Rayleigh (see Fig. <xref ref-type="fig" rid="Ch1.F8"/>a) and also Mie techniques (see  Fig. <xref ref-type="fig" rid="Ch1.F8"/>b).</p>
</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>Case studies 3–6</title>
      <p id="d1e2047">In order to provide a final overview of the validation cases obtained during the cruise, four remaining overpass cases are presented in Fig. <xref ref-type="fig" rid="Ch1.F9"/>. These cases are less favorable than the ones already presented due to larger distances in time and space between the research vessel location and the Aeolus observations, but they are still very valuable for the Aeolus validation in an area where almost no ground-truth observations exist. In addition, they are considered for a statistical analysis presented below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e2054">Wind velocity profiles measured by the radiosonde (red) with the two closest Aeolus L2B Rayleigh<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> (green and blue) and Mie<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> (magenta and cyan) profiles of all four remaining validation cases obtained during the RV <italic>Polarstern</italic> cruise (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>).</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f09.png"/>

          </fig>

      <p id="d1e2086">On 27 November 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a), the overpass region was exactly inside the ITCZ where enhanced vertical turbulence can occur. These vertical velocities have been so far neglected in the retrieval of the Aeolus HLOS, as explained above, and thus might lead to higher errors in the retrieved wind speed.  Furthermore, the Aeolus ground track was relatively far away from the position of RV <italic>Polarstern</italic> (134 and 149 km distance at an altitude of 10 km). Valid Mie<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> measurements were observed at altitudes higher than 8 km due to the existence of high clouds.<?pagebreak page6016?> Considering the large horizontal distance between the radiosonde and Aeolus profiles, as well as the strong convection within the ITCZ, a reasonable agreement is found even though parts of the Mie<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> observations deviate significantly from the radiosonde observations (at around 9 km a.s.l.). The Rayleigh<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds agree in shape with the radiosonde observation, but the Aeolus observation at 14 km differs significantly from the radiosonde. From the available information, it is not possible to conclude if this strong wind speed change within a horizontal distance of 150 km is an atmospheric feature or if there are issues in the Aeolus wind retrievals. For these reasons, we excluded this case from the statistical analysis presented below.</p>
      <p id="d1e2122">On 2 December 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b), the mean distance between the radiosonde and the Aeolus observations was 100 to 122 km. The radiosonde profile shows a stronger vertical fluctuation in the horizontal wind velocity and direction than in the previously discussed case studies. Especially between 12 to 16 km, large and fast changes in wind direction and thus the projected HLOS were observed by the radiosonde. Due to its coarse vertical resolution, Aeolus is only partly able to detect these rapid changes. Nevertheless, considering the vertical heterogeneity in the wind field, the agreement is acceptable for most Rayleigh<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind observations. Aeolus-derived winds mostly follow the shape and magnitude of the radiosonde winds except for a large deviation at around 4 km (green profile). The reason for that is unclear. Probably the atmospheric classification of Aeolus was not working properly for this scene, and thus cross talk of cloud signals could have led to the deviation in the derived Rayleigh<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds.  The observed Mie<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds, however, all agree well on this day. Mie<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds were observed at around 1 km  where partly stratiform clouds were present according to the lidar measurements (not shown). Mie<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds could also be retrieved very close to the surface, and they agree very well with the radiosonde observation, taking into account the estimated uncertainty and the distance between the two measurements.</p>
      <p id="d1e2173">On 3 December 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>c), the mean distances between the closest Aeolus profiles and the radiosonde location were less than 100 km. A good agreement between the two measurements was achieved on this day.
For the last point of intersection on 10 December 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>d), RV <italic>Polarstern</italic> was more than 100 km away from the Aeolus track. Like in the second case study, the Rayleigh<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> profile which was further away is partly in better agreement with the radiosonde profile than the closer one. Also, the small-scale structures in wind speed could not be resolved by Aeolus, as discussed above. Nevertheless, within the uncertainty range, a  satisfying agreement was achieved for the two last case studies.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Statistical analysis</title>
      <p id="d1e2201">In this subsection, the performed comparisons are statistically analyzed. The offset between Aeolus and the radiosonde – the so-called bias – which represents the systematic error of the Aeolus wind measurements is of special interest. For this analysis, the Aeolus wind observation values are plotted against the corresponding values of the radiosondes averaged to the Aeolus height resolution (as discussed above) to focus on the instrumental behavior of Aeolus only. We hereby assume that the atmospheric variability between<?pagebreak page6017?> the two measurements will not cause a bias but will only increase noise, i.e., the random error. Nevertheless, the validation case of 27 November 2018 is not included in the statistics due to the large horizontal distance of the two measurements, together with the fact that the  observations were taken directly inside the ITCZ.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e2206"><bold>(a)</bold> The L2B Rayleigh<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds versus the radiosonde measurements made during the ship-borne validation except for 27 November 2018. Green represents measurements of an ascending orbit, while red represents measurements of a descending orbit. <bold>(b)</bold> Frequency distribution of the difference between Rayleigh<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and radiosonde wind speeds for the same data set. Radiosonde data are aggregated to the Aeolus vertical resolution and projected to the HLOS of Aeolus.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f10.png"/>

        </fig>

      <p id="d1e2238">The respective correlation plot of the Rayleigh<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind is shown in Fig. <xref ref-type="fig" rid="Ch1.F10"/>a, together with the retrieved linear regression.  A linear trend between the Aeolus and the radiosonde observations is clearly seen.</p>
      <p id="d1e2253">The trend line has a slope of 0.97 with an offset (i.e., a bias) of 1.57 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>. The different colors indicate whether Aeolus had an ascending node (green) or descending node (red), i.e., if the measurement was taken at local evening or local morning, respectively. This separation is done because the first long-term CAL/VAL activities showed significant differences in the determined biases of Aeolus wind measurements between the two different modes <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx23 bib1.bibx36" id="paren.55"/>. However, from our observations on board RV <italic>Polarstern</italic> in the early mission phase of Aeolus, we do not observe a significant difference between the two modes with respect to the Rayleigh<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds.</p>
      <p id="d1e2283">Figure <xref ref-type="fig" rid="Ch1.F10"/>b shows the normalized frequency distribution of the deviation between the Rayleigh<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and radiosonde wind observations.
When calculating the mean value of this distribution, one gets 1.52 m s<inline-formula><mml:math id="M117" 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 bias for the Rayleigh<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind observations. If one uses the median of the distribution for the bias calculation, one gets a bias of 1.47 m s<inline-formula><mml:math id="M119" 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> which is thus a little less than that calculated from the mean. If one<?pagebreak page6018?> forces the linear regression to have a slope of 1, the retrieved offset is practically the same as the mean deviation between the radiosonde and Aeolus. As this is expected for a Gaussian distribution, one could assume, in accordance with the shape of the distribution shown in Fig. <xref ref-type="fig" rid="Ch1.F10"/>b, a normally distributed behavior of the Rayleigh<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind deviations.</p>
      <p id="d1e2342">To conclude, a bias (systematic error) of 1.47–1.57 m s<inline-formula><mml:math id="M121" 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> was derived from the five radiosonde ascents for the Rayleigh<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds  regardless of the calculation method.
The median absolute deviation (MAD) of the distribution is used to calculate the random error of the Aeolus wind observations <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx60" id="paren.56"/> because it is less sensitive to outliers than the standard deviation. It is 67.4 % of the standard deviation, or, the other way around, the scaled MAD (MAD <inline-formula><mml:math id="M123" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.4826) is identical to the standard deviation for a perfectly Gaussian distribution. The scaled MAD is thus used as an indicator for the random error for Aeolus observations. The MAD is, in the case of the Rayleigh<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds, 3.26 m s<inline-formula><mml:math id="M125" 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 scaled MAD is correspondingly 4.84 m s<inline-formula><mml:math id="M126" 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.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e2412"><bold>(a)</bold> L2B Mie<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds versus the radiosonde measurements made during the ship-borne validation except for 27 November 2018. <bold>(b)</bold> Frequency distribution of the difference between Mie<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> and radiosonde wind speeds for the same data set. Radiosonde data are aggregated to the Aeolus vertical resolution and projected to the HLOS of Aeolus.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/6007/2020/amt-13-6007-2020-f11.png"/>

        </fig>

      <p id="d1e2444">The same statistics are shown for the Mie<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds in Fig. <xref ref-type="fig" rid="Ch1.F11"/>.
Here a much smaller number of points for comparison could be used as Mie<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds are only available at heights where clouds occur. Regardless of the low number of values, it is already obvious that the bias is less than for the Rayleigh<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds. The bias obtained with the linear regression is relatively high at 1.13 compared to the bias obtained from the median and mean (0.95 and 0.95 m s<inline-formula><mml:math id="M132" 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>, respectively) of the frequency distribution of the differences between Aeolus and the radiosonde (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b). Nevertheless, forcing the slope to be unity, the same offset (i.e., bias or systematic error) as for the mean of the distribution is retrieved, which again confirms that the deviations of Mie<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds are normally (Gaussian) distributed. As for the Rayleigh<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds, no difference in the Aeolus performance between ascending and descending orbits is found (Fig. <xref ref-type="fig" rid="Ch1.F11"/>a).</p>
      <p id="d1e2512">Figure <xref ref-type="fig" rid="Ch1.F11"/>b shows that the absolute deviations are much lower than for the Rayleigh<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds, which is reflected in the much smaller MAD of 1.06 m s<inline-formula><mml:math id="M136" 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> (corresponding to a scaled MAD of 1.58 m s<inline-formula><mml:math id="M137" 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> ). All absolute deviations are below 5 m s<inline-formula><mml:math id="M138" 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> compared to values up to 13 m s<inline-formula><mml:math id="M139" 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 Rayleigh<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds. This is mainly caused by the generally lower signal-to-noise ratio (SNR) of the Rayleigh return signal compared to the Mie channel, in addition to the different measurement and retrieval techniques.
Thus, one can conclude for a user's perspective that Mie<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds are more accurate than Rayleigh<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds (less systematic and less random error) and should be used if available. The  Rayleigh<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds, on the other hand,  provide a better coverage of the atmosphere.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2614">Overview of derived biases (systematic errors), the median absolute deviation (MAD), and the scaled MAD (which is an indicator for the random error) for both the Rayleigh<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds obtained from the comparison with the five radiosonde launches. All values are in meters per second (m s<inline-formula><mml:math id="M146" 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></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Wind type</oasis:entry>
         <oasis:entry colname="col2">Mean</oasis:entry>
         <oasis:entry colname="col3">Median</oasis:entry>
         <oasis:entry colname="col4">Regression</oasis:entry>
         <oasis:entry colname="col5">Regression</oasis:entry>
         <oasis:entry colname="col6">MAD</oasis:entry>
         <oasis:entry colname="col7">Scaled</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">bias</oasis:entry>
         <oasis:entry colname="col3">bias</oasis:entry>
         <oasis:entry colname="col4">bias</oasis:entry>
         <oasis:entry colname="col5">slope</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">MAD</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Rayleigh<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.52</oasis:entry>
         <oasis:entry colname="col3">1.47</oasis:entry>
         <oasis:entry colname="col4">1.57</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
         <oasis:entry colname="col6">3.26</oasis:entry>
         <oasis:entry colname="col7">4.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mie<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.95</oasis:entry>
         <oasis:entry colname="col3">0.88</oasis:entry>
         <oasis:entry colname="col4">1.13</oasis:entry>
         <oasis:entry colname="col5">0.95</oasis:entry>
         <oasis:entry colname="col6">1.06</oasis:entry>
         <oasis:entry colname="col7">1.58</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2787">An overview of the derived values for the systematic and random errors of Aeolus from the ship-borne validation is given in Table <xref ref-type="table" rid="Ch1.T2"/>.
The systematic and random errors observed are higher than those demanded in the mission requirements <xref ref-type="bibr" rid="bib1.bibx27" id="paren.57"/>. The aim is to achieve a systematic error of less than 0.7 m s<inline-formula><mml:math id="M149" 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> with an overall precision of 1 m s<inline-formula><mml:math id="M150" 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> in the PBL, 2.5 m s<inline-formula><mml:math id="M151" 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> in the troposphere, and 3–5 m s<inline-formula><mml:math id="M152" 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> in the stratosphere. Despite the fact that the mission requirements could not yet be achieved, the mission can be seen as a success as it has already demonstrated that winds are globally observable from space by active remote sensing with sufficient quality to achieve a positive impact in NWP <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx39" id="paren.58"/>. However, it is worth mentioning again that the Aeolus data which were<?pagebreak page6019?> used are not yet the finalized data set for this space mission. Meanwhile, it was found that slight temperature variations over the receiving telescope area are one of the main reasons for biases in the Rayleigh winds <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx36 bib1.bibx45" id="paren.59"/>. This effect and some other instrumental challenges, like the hot pixels issue, have not yet been compensated for in the data of the early mission stage. Processor updates with several improvements have been taking place in the meantime, and more are expected in the future to correct such effects, after which a reprocessing of the early Aeolus data set is foreseen.</p>
      <p id="d1e2850">Considering that only five radiosonde launches were used, the observed biases are in agreement with other CAL/VAL teams of this mission <xref ref-type="bibr" rid="bib1.bibx19" id="paren.60"/>. At the first Aeolus CAL/VAL workshop, independent comparisons (not publicly accessible) of several CAL/VAL teams showed global biases in the range of less than 1 up to 3.3 m s<inline-formula><mml:math id="M153" 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> using different observation periods and NWP models (e.g. <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.61"/>).</p>
      <p id="d1e2871"><xref ref-type="bibr" rid="bib1.bibx37" id="text.62"/> compared the Aeolus Rayleigh<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> wind observations to winds measured with the airborne demonstrator during WindVal III in central Europe from 17 November to 5 December 2018 and thus in the same time period as the validation measurements obtained on board RV <italic>Polarstern</italic>. The authors also validated these winds against wind data from the ECMWF model. They report a bias of 1.6 m s<inline-formula><mml:math id="M155" 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> with random errors of 2.5 m s<inline-formula><mml:math id="M156" 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> (comparison against ECMWF model winds) and a 2.53 m s<inline-formula><mml:math id="M157" 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> bias and 3.57 m s<inline-formula><mml:math id="M158" 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> random error for the comparison against the airborne demonstrator.</p>
      <?pagebreak page6020?><p id="d1e2938"><xref ref-type="bibr" rid="bib1.bibx60" id="text.63"/> reported slightly different biases (systematic errors) of 2.1 and 2.3 m s<inline-formula><mml:math id="M159" 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 Rayleigh<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds during the same campaign (WindVal III) using an airborne 2 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m Doppler wind lidar. Random errors were about 4 and 2.2 m s<inline-formula><mml:math id="M163" 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 Rayleigh<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, respectively, in this study. For another campaign, namely AVATARE (Aeolus Validation Through Airborne Lidars in Europe) in central Europe in spring 2019, however, the authors found negative biases of <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> 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 Rayleigh<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>  winds  and <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> 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> for Mie<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>  and an increased random error of 4.4 and 2.2 m s<inline-formula><mml:math id="M172" 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 Rayleigh<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>, respectively. They conclude that the shift in the bias could be a result of the inadequate and constant calibration used during the L2B processing until 16 May 2019 not accounting for instrumental drifts that were observed since launch <xref ref-type="bibr" rid="bib1.bibx45" id="paren.64"/>. Meanwhile, the calibration  has been updated more regularly, and instrument drifts are  under investigation to be corrected in future processor updates. For further details, the reader may refer to the stated references.</p>
      <p id="d1e3108"><xref ref-type="bibr" rid="bib1.bibx34" id="text.65"/> analyzed one wind profile of Aeolus with the Doppler lidar at Observatoire de Haute-Provence and found a good agreement between the two measurements, but below 5 km a.g.l. (above ground level), a stronger deviation was observed which was considered to be caused by horizontal heterogeneity of the atmosphere. In our study, however, we could almost never observe any Rayleigh<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula>  wind profile below 4 km, which prohibits the discussion of this issue raised by <xref ref-type="bibr" rid="bib1.bibx34" id="text.66"/>. Nevertheless, it could already be an indicator that the laser energy, which has been lower than expected <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx45" id="paren.67"/>, leads to less accuracy and therefore more invalid wind observations close to the ground (further away from the lidar on board Aeolus).</p>
      <p id="d1e3128">To summarize, the statistics obtained during cruise PS116 with RV <italic>Polarstern</italic>, even if only consisting of five comparisons with radiosondes, do agree well with findings from other CAL/VAL teams and give an insight into the Aeolus performance shortly after launch – thus still in the commissioning phase. It also shows that  Aeolus is able to measure horizontal wind speeds from space and that the retrieved data are reliable within a given uncertainty range and thus ready for data assimilation. The first data assimilation experiments have already shown a positive impact, e.g., as announced by ECMWF <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx12" id="paren.68"/>.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3147">Wind products from the first wind lidar in space, ALADIN, on board the European satellite Aeolus were validated against wind  profiles obtained from radiosonde launches on board the German RV <italic>Polarstern</italic> during cruise PS116 in autumn 2018 across the Atlantic Ocean.
Six points of intersection were reached within a radius of 150 km for which additional radiosondes could be launched in time.  These unique validation measurements across the Atlantic Ocean are a valuable contribution to the – until now – mainly model-based validations of Aeolus in that region of the Earth.</p>
      <p id="d1e3153">With the analysis of dedicated case studies, it was shown that Aeolus is able to measure accurately atmospheric wind profiles of the nearly west–east wind component.
Due to its HSRL technique, Aeolus is able to measure wind speed in both clear, particle-free atmospheric regions and regions where clouds or dense aerosol layers occur. The corresponding products are the Rayleigh<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> and Mie<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds, respectively.</p>
      <p id="d1e3174">Aeolus, i.e., ALADIN, is able to obtain the shape of the wind profile and the magnitude of the wind speed with sufficient accuracy, also taking into account the representativeness error introduced by the horizontal distance between the radiosonde and Aeolus ground track and the low horizontal (87 km) and vertical resolution (0.5–2 km) of Aeolus.  A proof of concept  of the HSR  Doppler wind lidar technique in space to measure global wind profiles was therefore already demonstrated.
Nevertheless, it was also shown that the height resolution which was set during the commissioning phase was not sufficient to capture events of strong vertical wind shear such as near the tropical jet stream. The coarse resolution of Aeolus of 2 km at altitudes above 13 km caused a significant underestimation of the maximum wind speed.  Thus, considering the vertical binning, the Aeolus observations were correct, but important information on the tropical jet stream speed was missing. As a consequence,  the range bins were changed to a resolution of 1 km up to an altitude of 19 km on 26 February 2019 to provide the NWP models with much more detailed wind information in such an important atmospheric region.</p>
      <p id="d1e3177">It has also been discussed that Rayleigh<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds in the free troposphere have a larger offset, i.e., systematic error, than the corresponding Mie<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds, leading to a slight overestimation of the true HLOS wind speed. Mie<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds are only available at atmospheric regions with clouds, but the comparison to the radiosonde profiles shows that the  Mie<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula>  winds were very accurate with lower systematic and random errors than the Rayleigh<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds  and should be used when available in favor of the Rayleigh<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds. Nevertheless, the Rayleigh<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds especially are a highlight of the Aeolus mission as they could close a gap for clear-air observations in the global atmospheric observing system which is not covered by atmospheric motion vectors obtained in cloudy regions only. In fact, Rayleigh<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds have proven more beneficial for NWP than Mie<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds so far <xref ref-type="bibr" rid="bib1.bibx47" id="paren.69"/>.</p>
      <?pagebreak page6021?><p id="d1e3266">The statistical analysis based on only five radiosondes reveals the good performance of  Aeolus  in this early phase of the mission, having a systematic error (bias) of about 1.5 m s<inline-formula><mml:math id="M187" 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 random error of 4.84 m s<inline-formula><mml:math id="M188" 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> (scaled MAD) for the Rayleigh<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">clear</mml:mi></mml:msub></mml:math></inline-formula> winds. The Mie<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cloudy</mml:mi></mml:msub></mml:math></inline-formula> winds were more accurate with about 1 m s<inline-formula><mml:math id="M191" 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> systematic error and a random error of 1.58 m s<inline-formula><mml:math id="M192" 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>. This is yet higher than claimed in the mission requirements, but it should be noted that the data used for validation here are not the final wind data set of Aeolus. Some instrumental effects and calibration imperfections discovered in the meantime were not considered in the retrieval algorithms used for the autumn 2018 data set. The main challenges of the Aeolus mission are the occurrence of hot pixels, varying telescope temperatures, the laser energy development, and the lower atmospheric return signal resulting in a larger Rayleigh random error. ESA is steadily working  on the improvements of the wind retrievals and processor updates. Several reprocessing steps of the existing data will take place in the future delivering data with even higher accuracy than the data set delivered in the commissioning phase of Aeolus. Once a final reprocessing has taken place, it could be worthwhile to use the existing RV <italic>Polarstern</italic>  data set to quantify the improvements of the algorithm updates.</p>
      <p id="d1e3339">To summarize, the validation efforts performed with radiosondes launched during cruise PS116 of RV <italic>Polarstern</italic> give an insight into Aeolus' performance shortly after launch and thus still in its commissioning phase. It shows that  Aeolus is able to measure one horizontal wind component from space and that the retrieved data are reliable within a given uncertainty range and usable for data assimilation. As announced by ECMWF <xref ref-type="bibr" rid="bib1.bibx12" id="paren.70"/>, the first data assimilation experiments have already shown a positive impact. For such experiments, the systematic errors obtained during the CAL<inline-formula><mml:math id="M193" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>VAL efforts are a prerequisite because they need to be corrected and show the importance of independent CAL/VAL activities. Since the beginning of 2020, Aeolus data have even been operationally assimilated at ECMWF <xref ref-type="bibr" rid="bib1.bibx13" id="paren.71"/>, and a positive impact on weather prediction has been demonstrated <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx28" id="paren.72"/>. The recent global shutdown due to the COVID-19 epidemic has even shown that Aeolus is able to partly replace the missing aircraft measurements in the global data assimilation system <xref ref-type="bibr" rid="bib1.bibx14" id="paren.73"/>.</p>
</sec>

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

      <p id="d1e3369">Radiosonde data are available at the PANGAEA Data Center: <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.903888" ext-link-type="DOI">10.1594/PANGAEA.903888</ext-link> <xref ref-type="bibr" rid="bib1.bibx51" id="paren.74"/>. The Aeolus data set used in this publication is not publicly available, but, after reprocessing in the future, an updated data set will become publicly available via ESA services.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3381">All authors have contributed to the paper preparation. HB and AH have performed the data analysis with the support of ZY, RE, and JH. AH, KH, and KO performed the measurements on board RV <italic>Polarstern</italic>. UW and BH have contributed to the discussion with their expertise in remote sensing and meteorology. HB has led the paper preparation based on the master thesis of AH.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3390">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e3396">The presented work includes preliminary data (not fully calibrated/validated and not yet publicly released) of the Aeolus mission that is part of the European Space Agency (ESA) Earth Explorer Program. This includes wind products from before the public data release in May 2020 and/or aerosol and cloud products which have not yet been publicly released. The preliminary Aeolus wind products will be reprocessed during 2020 and 2021, which will include in particular a significant L2B product wind bias reduction and improved L2A radiometric calibration. Aerosol and cloud products will become publicly available by spring 2021. The processor development, improvement, and product reprocessing preparation are performed by the Aeolus DISC (Data, Innovation and Science Cluster), which involves DLR, DoRIT, ECMWF, KNMI, CNRS, S&amp;T, ABB, and Serco, in close cooperation with the Aeolus PDGS (Payload Data Ground Segment). The analysis has been performed in the frame of the Aeolus Scientific Calibration and Validation Team (ACVT).</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3402">The authors also acknowledge support through ACTRIS-2 under grant agreement no. 654109 from the European Union's Horizon 2020 research and innovation program. We thank the Alfred-Wegener Institute (AWI), the RV <italic>Polarstern</italic> crew, and the cruise leaders Claudia Hanfland and Bjela König for their incredible effort in making those measurements possible (acknowledgment
no. AWI_PS116_00). Furthermore, we thank Holger Schmithüsen (AWI) and the German Meteorological Service (DWD) for the support in launching the radiosondes during the cruise. We also appreciate very much the fruitful discussions within the EVAA consortium (LMU, DWD, DLR) and with ESA.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3410">This research has been supported by the German Federal Ministry for Economic Affairs and Energy (BMWi) (grant no. 50EE1721C).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The publication of this article was funded by the <?xmltex \hack{\newline}?> Open-Access Fund of the Leibniz Association.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3421">This paper was edited by Ad Stoffelen and reviewed by two anonymous referees.</p>
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    <!--<article-title-html>Validation of Aeolus wind products above the Atlantic Ocean</article-title-html>
<abstract-html><p>In August 2018, the first Doppler wind lidar in space called Atmospheric Laser Doppler Instrument (ALADIN) was launched on board the satellite Aeolus by the European Space Agency (ESA).
Aeolus measures profiles of one horizontal wind component (i.e., mainly the west–east direction) in the troposphere and lower stratosphere on a global basis.  Furthermore, profiles of aerosol and cloud properties can be retrieved via the high spectral resolution lidar (HSRL) technique.
The Aeolus mission is supposed to improve the quality of weather forecasts and the understanding of atmospheric processes.</p><p>We used the opportunity to perform a unique validation of the wind products of Aeolus by utilizing the RV <i>Polarstern</i> cruise PS116 from Bremerhaven to Cape Town in November/December 2018.
Due to concerted course modifications, six direct intersections with the Aeolus ground track could be achieved in the Atlantic Ocean west of the African continent.
For the validation of the Aeolus wind products, we launched additional radiosondes and used the EARLINET/ACTRIS lidar Polly<sup>XT</sup> for atmospheric scene analysis.
The six analyzed cases prove that Aeolus is able to measure horizontal wind speeds in the nearly west–east direction.
Good agreements with the radiosonde observations could be achieved for both Aeolus wind products – the winds observed in clean atmospheric regions called Rayleigh winds and the winds obtained in cloud layers called Mie winds (according to the responsible scattering regime).
Systematic and statistical errors of the Rayleigh winds were less than 1.5 and 3.3&thinsp;m&thinsp;s<sup>−1</sup>, respectively, when compared to radiosonde values averaged to the vertical resolution of Aeolus. For the Mie winds, a systematic and random  error of about 1&thinsp;m&thinsp;s<sup>−1</sup> was obtained from the six comparisons in different climate zones.
However, it is also shown that the coarse vertical resolution of 2&thinsp;km in the upper troposphere, which was set in this early mission phase 2 months after launch, led to an underestimation of the maximum wind speed in the jet stream regions. In summary, promising first results of the first wind lidar space mission are shown and prove the concept of Aeolus for global wind observations.</p></abstract-html>
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