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<front>
<journal-meta>
<journal-id journal-id-type="publisher">OSD</journal-id>
<journal-title-group>
<journal-title>Ocean Science Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">OSD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci. Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0822</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/osd-9-2851-2012</article-id>
<title-group>
<article-title>Measurement of turbulence in the oceanic mixed layer using Synthetic Aperture Radar (SAR)</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>George</surname>
<given-names>S. G.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Tatnall</surname>
<given-names>A. R. L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Astronautics Research Group, Faculty of Engineering &amp; the Environment, University of Southampton, Southampton, UK</addr-line>
</aff>
<pub-date pub-type="epub">
<day>13</day>
<month>09</month>
<year>2012</year>
</pub-date>
<volume>9</volume>
<issue>5</issue>
<fpage>2851</fpage>
<lpage>2883</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 S. G. George</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://os.copernicus.org/preprints/9/2851/2012/osd-9-2851-2012.html">This article is available from https://os.copernicus.org/preprints/9/2851/2012/osd-9-2851-2012.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/preprints/9/2851/2012/osd-9-2851-2012.pdf">The full text article is available as a PDF file from https://os.copernicus.org/preprints/9/2851/2012/osd-9-2851-2012.pdf</self-uri>
<abstract>
<p>Turbulence in the surface layer of the ocean contributes to the transfer of
heat, gas and momentum across the air-sea boundary. As such, study of
turbulence in the ocean surface layer is becoming increasingly important for
understanding its effects on climate change. Direct Numerical Simulation
(DNS) techniques were implemented to examine the interaction of small-scale
wake turbulence in the upper ocean layer with incident electromagnetic radar
waves. Hydrodynamic-electromagnetic wave interaction models were invoked to
demonstrate the ability of Synthetic Aperture Radar (SAR) to observe and
characterise surface turbulent wake flows. A range of simulated radar images
are presented for a turbulent surface current field behind a moving surface
vessel, and compared with the surface flow fields to investigate the impact
of turbulent currents on simulated radar backscatter. This has yielded
insights into the feasibility of resolving small-scale turbulence with
remote-sensing radar and highlights the potential for extracting details of
the flow structure and characteristics of turbulence using SAR.</p>
</abstract>
<counts><page-count count="33"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Alpers,&amp;nbsp;W.&amp;nbsp;R., Campbell,&amp;nbsp;G., Wensink,&amp;nbsp;H., and Zhang,&amp;nbsp;Q.: Underwater topography, in: SAR Marine User&apos;s Manual, edited by: Jackson,&amp;nbsp;C.&amp;nbsp;R. and Apel,&amp;nbsp;J.&amp;nbsp;R., National Oceanic and Atmospheric Administration, Washington DC, USA, 245–262, 2004, available at: &lt;a href=&quot;http://www.sarusersmanual.com/&quot;&gt;http://www.sarusersmanual.com/&lt;/a&gt;, last access: 15 May 2012.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Archer,&amp;nbsp;P.&amp;nbsp;J.: A&amp;nbsp;Numerical Study of Laminar to Turbulent Evolution and Free-Surface Interaction of a&amp;nbsp;Vortex Ring, Ph.&amp;nbsp;D. thesis, University of Southampton, Southampton, UK, 2008.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Banerjee,&amp;nbsp;S. and MacIntyre,&amp;nbsp;S.: The air-water interface: Turbulence and scalar exchange, in: Advances in Coastal and Ocean Engineering vol. 9: PIV and Water Waves, edited by: Grue,&amp;nbsp;J., Liu,&amp;nbsp;P.&amp;nbsp;L.&amp;nbsp;F. and Pedersen,&amp;nbsp;G.&amp;nbsp;K., World Scientific, Singapore, 181–237, 2004.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Chubb,&amp;nbsp;S.&amp;nbsp;R., Askari,&amp;nbsp;F., Donato,&amp;nbsp;T.&amp;nbsp;F., Romeiser,&amp;nbsp;R., Ufermann,&amp;nbsp;S., Cooper,&amp;nbsp;A.&amp;nbsp;L., Alpers,&amp;nbsp;W.&amp;nbsp;R., and Mango,&amp;nbsp;S.&amp;nbsp;A.: Study of Gulf Stream features with a&amp;nbsp;multifrequency polarimetric SAR from the Space Shuttle, IEEE Trans. Gisci. Remote Sens., 37, 2495–2507, 1999.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Fujimura,&amp;nbsp;A., Matt,&amp;nbsp;S., Soloviev,&amp;nbsp;A., Maingot,&amp;nbsp;C., and Rhee,&amp;nbsp;S.&amp;nbsp;H.: The Impact of Thermal Stratification and Wind Stress on Sea Surface Features in SAR Imagery, IGARSS2011 IEEE Geoscience and Remote Sensing Symposium, Vancouver BC, Canada, 24–29 July 2011, 2037–2040, 2011.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Hennings,&amp;nbsp;I., Romeiser,&amp;nbsp;R., Alpers,&amp;nbsp;W.&amp;nbsp;R., and Viola,&amp;nbsp;A.: Radar imaging of Kelvin arms of ship wakes, Int.&amp;nbsp;J. Remote Sens., 20, 2519–2543, 1999.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Ivanov,&amp;nbsp;A.&amp;nbsp;Y. and Ginzburg,&amp;nbsp;A.&amp;nbsp;I.: Oceanic eddies in synthetic aperture radar images,&amp;nbsp;J. Earth Syst. Sci., 111, 281–295, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1007/BF02701974&quot;&gt;10.1007/BF02701974&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Johannessen,&amp;nbsp;J.&amp;nbsp;A., Kudryavtsev,&amp;nbsp;V.&amp;nbsp;N., Akimov,&amp;nbsp;D., Eldevik,&amp;nbsp;T., Winther,&amp;nbsp;N., and Chapron,&amp;nbsp;B.: On radar imaging of current features: 2. Mesoscale eddy and current front detection,&amp;nbsp;J. Geophys. Res., 110, 1–14, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/2004JC002802&quot;&gt;10.1029/2004JC002802&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Khatiwala,&amp;nbsp;S., Primeau,&amp;nbsp;F., and Hall,&amp;nbsp;T.: Reconstruction of the history of anthropogenic \chem{{CO}_2} Concentrations in the Ocean, Nature, 462, 346–350, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1038/nature08526&quot;&gt;10.1038/nature08526&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Kitaigorodskii,&amp;nbsp;S.&amp;nbsp;A. and Lumley,&amp;nbsp;J.&amp;nbsp;L.: Wave-turbulence interactions in the upper ocean. Part I: The energy balance of the interacting fields of surface wind waves and wind-induced three-dimensional turbulence,&amp;nbsp;J. Phys. Oceanogr., 13, 1977–1987, 1983.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Kitaigorodskii,&amp;nbsp;S.&amp;nbsp;A., Donelan,&amp;nbsp;M., Lumley,&amp;nbsp;J.&amp;nbsp;L., and Terray,&amp;nbsp;E.&amp;nbsp;A.: Wave-turbulence interactions in the upper ocean. Part II: Statistical characteristics of wave and turbulent components of the random velocity field in the marine surface layer,&amp;nbsp;J. Phys. Oceanogr., 13, 1988–1999, 1983.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Komori,&amp;nbsp;S., Ueda,&amp;nbsp;H., Ogino,&amp;nbsp;F., and Mizushina,&amp;nbsp;T.: Turbulence structure and transport mechanism at the free surface in an open channel flow, Int.&amp;nbsp;J. Heat Mass Tran., 25, 513–521, 1982.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">LeBlond,&amp;nbsp;P.&amp;nbsp;H. and Mysak,&amp;nbsp;L.&amp;nbsp;A.: Waves in the Ocean, Elsevier Science Publishers, Norwich, UK, 1978.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Lyden,&amp;nbsp;J.&amp;nbsp;D., Lyzenga,&amp;nbsp;D.&amp;nbsp;R., Shuchman,&amp;nbsp;R.&amp;nbsp;A., and Swanson,&amp;nbsp;C.&amp;nbsp;V.: SAR Detection of Ship-Generated Turbulent and Vortex Wakes, Tech. Memo.  RR-86–112, Environmental Research Institute of Michigan, Ann Arbor MI, USA, 1985.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Lyden,&amp;nbsp;J.&amp;nbsp;D., Hammond,&amp;nbsp;R., Lyzenga,&amp;nbsp;D.&amp;nbsp;R., and Shuchman,&amp;nbsp;R.&amp;nbsp;A.: Synthetic aperture radar imaging of surface ship wakes,&amp;nbsp;J. Geophys. Res., 93, 12293–12303, 1988.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">McKenna,&amp;nbsp;S.&amp;nbsp;P.: Free-Surface Turbulence and Air-Water Gas Exchange, Ph.&amp;nbsp;D. thesis, Massachusetts Institute of Technology/Woods Hole Oceanographic Institution, Boston/Woods Hole MA, USA, 2000.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">McKenna,&amp;nbsp;S.&amp;nbsp;P. and McGillis,&amp;nbsp;W.&amp;nbsp;R.: The role of free-surface turbulence and surfactants in air-water gas transfer, Int.&amp;nbsp;J. Heat Mass Tran., 47, 539–553, 2004.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Milgram,&amp;nbsp;J.&amp;nbsp;H., Skop,&amp;nbsp;R.&amp;nbsp;A., Peltzer,&amp;nbsp;R.&amp;nbsp;D., and Griffin,&amp;nbsp;O.&amp;nbsp;M.: Modeling short sea wave energy distributions in the far wakes of ships,&amp;nbsp;J. Geophys. Res., 98, 7115–7124, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/92JC02611&quot;&gt;10.1029/92JC02611&lt;/a&gt;, 1993</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Munk,&amp;nbsp;W.&amp;nbsp;H., Scully-Power,&amp;nbsp;P., and Zachariasen,&amp;nbsp;F.: Ships from Space, in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 412, 231–254, 1987.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Ölmez,&amp;nbsp;H.&amp;nbsp;S. and Milgram,&amp;nbsp;J.&amp;nbsp;H.: An experimental study of attenuation of short water waves by turbulence,&amp;nbsp;J. Fluid Mech., 239, 133–156, 1992.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Phillips,&amp;nbsp;O.&amp;nbsp;M., Batchelor&amp;nbsp;G.&amp;nbsp;K., and Miles,&amp;nbsp;J.&amp;nbsp;W. (Eds.): The Dynamics of the Upper Ocean, Cambridge University Press, Cambridge, UK, 1966.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Reed,&amp;nbsp;A.&amp;nbsp;M. and Milgram,&amp;nbsp;J.&amp;nbsp;H.: Ship wakes and their radar images, Annu. Rev. Fluid Mech., 34, 469–502, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1146/annurev.fluid.34.090101.190252&quot;&gt;10.1146/annurev.fluid.34.090101.190252&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Reed,&amp;nbsp;A.&amp;nbsp;M., Beck,&amp;nbsp;R.&amp;nbsp;F., Griffin,&amp;nbsp;O.&amp;nbsp;M., and Peltzer,&amp;nbsp;R.&amp;nbsp;D.: Hydrodynamics of remotely sensed surface ship wakes, SNAME Transactions, 98, 319–363, 1990.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Romeiser,&amp;nbsp;R. and Alpers,&amp;nbsp;W.&amp;nbsp;R.: An improved composite surface model for the radar backscattering cross section of the ocean surface 2. Model response to surface roughness variations and the radar imaging of underwater bottom topography,&amp;nbsp;J. Geophys. Res., 102, 25251–25267, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/97JC00191&quot;&gt;10.1029/97JC00191&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Romeiser,&amp;nbsp;R., Alpers,&amp;nbsp;W.&amp;nbsp;R., and Wismann,&amp;nbsp;V.: An improved composite surface model for the radar backscattering cross section of the ocean surface 1. Theory of the model and optimization/validation by scatterometer data,&amp;nbsp;J. Geophys. Res., 102, 25237–25250, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/97JC00190&quot;&gt;10.1029/97JC00190&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Sabine,&amp;nbsp;C.&amp;nbsp;L., Feely,&amp;nbsp;R. A, Gruber,&amp;nbsp;N., Key,&amp;nbsp;R.&amp;nbsp;M., Lee,&amp;nbsp;K., Bullister,&amp;nbsp;J.&amp;nbsp;L., Wanninkhof,&amp;nbsp;R., Wong,&amp;nbsp;C.&amp;nbsp;S., Wallace,&amp;nbsp;D.&amp;nbsp;W.&amp;nbsp;R., Tilbrook,&amp;nbsp;B., Millero,&amp;nbsp;F.&amp;nbsp;J., Peng,&amp;nbsp;T.-H., Kozyr,&amp;nbsp;A., Ono,&amp;nbsp;T., and Rios,&amp;nbsp;A.&amp;nbsp;F.: The oceanic sink for anthropogenic CO&lt;sub&gt;2&lt;/sub&gt;, Science, 305, 367–371, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1126/science.1097403&quot;&gt;10.1126/science.1097403&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Shen,&amp;nbsp;L. and Yue,&amp;nbsp;D.&amp;nbsp;K.&amp;nbsp;P.: Using computer simulations to help understand flow statistics and structures, Oceanography, 19, 52–63, 2006.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Soloviev,&amp;nbsp;A., Donelan,&amp;nbsp;M., Graber,&amp;nbsp;H.&amp;nbsp;C., Haus,&amp;nbsp;B., and Schlussel,&amp;nbsp;P.: An approach to estimation of near-surface turbulence and CO&lt;sub&gt;2&lt;/sub&gt; transfer velocity from remote sensing data,&amp;nbsp;J. Marine Syst., 66, 182–194, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1016/j.jmarsys.2006.03.023&quot;&gt;10.1016/j.jmarsys.2006.03.023&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Soloviev,&amp;nbsp;A., Maingot,&amp;nbsp;C., Fujimura,&amp;nbsp;A., Fenton,&amp;nbsp;J., Gilman,&amp;nbsp;M., Matt,&amp;nbsp;S., Lehner,&amp;nbsp;S., Velotto,&amp;nbsp;D., and Brusch,&amp;nbsp;S.: Fine Structure of the Upper Ocean from High-Resolution TerraSAR-X Imagery and In-Situ Measurements, IGARSS2010 IEEE Geoscience and Remote Sensing Symposium, Honolulu HI, USA, 25–30 July 2010, 1944–1947, 2010.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Thomas,&amp;nbsp;T.&amp;nbsp;G. and Williams,&amp;nbsp;J.&amp;nbsp;J.&amp;nbsp;R.: Development of a&amp;nbsp;parallel code to simulate skewed flow over a&amp;nbsp;bluff body,&amp;nbsp;J. Wind Eng. Ind. Aerod., 67–68, 155–167, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1016/S0167-6105(97)00070-6&quot;&gt;10.1016/S0167-6105(97)00070-6&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Thompson,&amp;nbsp;D.&amp;nbsp;R.: Intensity modulations in synthetic aperture radar images of ocean surface currents and the wave/current interaction process, in: John Hopkins APL Technical Digest, 6(4), 1985.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Toporkov,&amp;nbsp;J.&amp;nbsp;V., Hwang,&amp;nbsp;P.&amp;nbsp;A., Sletten,&amp;nbsp;M.&amp;nbsp;A., Farquharson,&amp;nbsp;G., Perkovic,&amp;nbsp;D., and Frasier,&amp;nbsp;S.&amp;nbsp;J.: Surface velocity profiles in a&amp;nbsp;vessel&apos;s turbulent wake observed by a&amp;nbsp;dual-beam along-track interferometric SAR, IEEE Geosci. Remote S. Lett., 8, 602–606, 2011.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">True,&amp;nbsp;M.&amp;nbsp;A., Lyzenga,&amp;nbsp;D.&amp;nbsp;R., and Lyden,&amp;nbsp;J.&amp;nbsp;D.: Centreline Wake Modeling, Final Report 207500-8-T, Environmental Research Institute of Michigan, Ann Arbor MI, USA, 1993.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Veron,&amp;nbsp;F., Melville,&amp;nbsp;W.&amp;nbsp;K., and Lenain,&amp;nbsp;L.: The effects of small-scale turbulence on air-sea heat flux,&amp;nbsp;J. Phys. Oceanogr., 41, 205–220, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1175/2010JPO4491.1&quot;&gt;10.1175/2010JPO4491.1&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Wright,&amp;nbsp;J.&amp;nbsp;W.: A&amp;nbsp;new model for sea clutter, IEEE T. Antenn. Propag., 16, 217–223, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1109/TAP.1968.1139147&quot;&gt;10.1109/TAP.1968.1139147&lt;/a&gt;, 1968.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Zappa,&amp;nbsp;C.&amp;nbsp;J., McGillis,&amp;nbsp;W.&amp;nbsp;R., Raymond,&amp;nbsp;P.&amp;nbsp;A., Edson,&amp;nbsp;J.&amp;nbsp;B., Hintsa,&amp;nbsp;E.&amp;nbsp;J., Zemmelink,&amp;nbsp;H.&amp;nbsp;J., Dacey,&amp;nbsp;J.&amp;nbsp;W.&amp;nbsp;H., and Ho,&amp;nbsp;D.&amp;nbsp;T.: Environmental turbulent mixing controls on air-water gas exchange in marine and aquatic systems, Geophys. Res. Lett., 34, 10601, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/2006GL028790&quot;&gt;10.1029/2006GL028790&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Zappa,&amp;nbsp;C.&amp;nbsp;J., Ho,&amp;nbsp;D.&amp;nbsp;T., McGillis,&amp;nbsp;W.&amp;nbsp;R., Banner,&amp;nbsp;M.&amp;nbsp;L., Dacey,&amp;nbsp;J.&amp;nbsp;W.&amp;nbsp;H., Bliven,&amp;nbsp;L.&amp;nbsp;F., Ma,&amp;nbsp;B., and Nystuen,&amp;nbsp;J.: Rain-induced turbulence and air-sea gas transfer,&amp;nbsp;J. Geophys. Res., 114, 1–17, https://doi.org/&lt;a href=&quot;http://dx.doi.org/10.1029/2008JC005008&quot;&gt;10.1029/2008JC005008&lt;/a&gt;, 2009.</mixed-citation>
</ref>
</ref-list>
</back>
</article>