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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Earth Sciences</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Earth Sciences</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Russian Journal of Earth Sciences</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">1681-1208</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">48761</article-id>
   <article-id pub-id-type="doi">10.2205/2021ES000784</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORIGINAL ARTICLES</subject>
    </subj-group>
    <subj-group>
     <subject>ОРИГИНАЛЬНЫЕ СТАТЬИ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Retrieval of the two-dimensional slope field by the SWIM spectrometer of the CFOSAT satellite: discussion of the algorithm</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Retrieval of the two-dimensional slope field by the SWIM spectrometer of the CFOSAT satellite: discussion of the algorithm</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Караев</surname>
       <given-names>Владимир Юрьевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Karaev</surname>
       <given-names>Vladimir Yurievich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Panfilova</surname>
       <given-names>M. A.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Panfilova</surname>
       <given-names>M. A.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ryabkova</surname>
       <given-names>M. S.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ryabkova</surname>
       <given-names>M. S.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Titchenko</surname>
       <given-names>Yu. A.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Titchenko</surname>
       <given-names>Yu. A.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Meshkov</surname>
       <given-names>E. M.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Meshkov</surname>
       <given-names>E. M.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Li</surname>
       <given-names>X. </given-names>
      </name>
      <name xml:lang="en">
       <surname>Li</surname>
       <given-names>X. </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт прикладной физики РАН</institution>
     <city>Нижний Новгород</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics RAS</institution>
     <city>Nizhny Novgorod</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Institute of Applied Physics RAS</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Institute of Applied Physics RAS</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Institute of Applied Physics RAS</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Institute of Applied Physics RAS</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics RAS</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">School of Marine Sciences, Nanjing University of Information Science and Technology</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">School of Marine Sciences, Nanjing University of Information Science and Technology</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-02-04T04:50:25+03:00">
    <day>04</day>
    <month>02</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-02-04T04:50:25+03:00">
    <day>04</day>
    <month>02</month>
    <year>2022</year>
   </pub-date>
   <volume>21</volume>
   <issue>6</issue>
   <fpage>1</fpage>
   <lpage>9</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-11-02T00:00:00+03:00">
     <day>02</day>
     <month>11</month>
     <year>2021</year>
    </date>
    <date date-type="accepted" iso-8601-date="2021-12-02T00:00:00+03:00">
     <day>02</day>
     <month>12</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/48761/view">https://rjes.ru/en/nauka/article/48761/view</self-uri>
   <abstract xml:lang="ru">
    <p>In October 2018, the Chinese-French satellite CFOSAT was launched into low-earth orbit, which carries the French SWIM spectrometer and the Chinese scatterometer RFSCAT. The SWIM (Ku-band) spectrometer measures the normalized radar cross section (NRCS) at small incidence angles (0∘–11∘) and for the first time measurements are performed at different azimuthal angles in a size-limited area where sea waves can be considered homogeneous. At small incidence angles, the backscattering mechanism is quasi-specular and the reflected field is calculated in the Kirchhoff approximation. Due to this, it becomes possible to retrieve the parameters of large-scale, in comparison with the length of the electromagnetic wave, sea waves (hereinafter referred to as large-scale waves). It has been shown that the common approach to measuring the mean square slopes (𝑚𝑠𝑠) of large-scale waves leads to large errors. For the measurement scheme at three azimuthal angles, an algorithm was developed for determining the direction of propagation of the dominant wave system, the 𝑚𝑠𝑠 of large-scale waves along the sounding direction and the unnormalized correlation coefficient between the slopes of large-scale waves along the 𝑋 and 𝑌 axes (hereinafter referred to as the correlation coefficient), which requires solving a system of transcendental equations. If we neglect the correlation coefficient in comparison with the 𝑚𝑠𝑠 of large-scale waves, then the solution is in an analytical form. The results of the simplified algorithm are compared with the exact solution. The values of the 𝑚𝑠𝑠 of large-scale waves obtained with the simplified approach can be used both to estimate the intensity of sea waves and as the initial conditions for solving the transcendental equation. The developed algorithms will be used to process the data of the SWIM spectrometer, which will allow for the first time to retrieval a two-dimensional field of large-scale wave slopes. KEYWORDS: Mean square slopes of large-scale waves; normalized radar cross section; small incidence angles; spectrometer SWIM; retrieval algorithms.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In October 2018, the Chinese-French satellite CFOSAT was launched into low-earth orbit, which carries the French SWIM spectrometer and the Chinese scatterometer RFSCAT. The SWIM (Ku-band) spectrometer measures the normalized radar cross section (NRCS) at small incidence angles (0∘–11∘) and for the first time measurements are performed at different azimuthal angles in a size-limited area where sea waves can be considered homogeneous. At small incidence angles, the backscattering mechanism is quasi-specular and the reflected field is calculated in the Kirchhoff approximation. Due to this, it becomes possible to retrieve the parameters of large-scale, in comparison with the length of the electromagnetic wave, sea waves (hereinafter referred to as large-scale waves). It has been shown that the common approach to measuring the mean square slopes (𝑚𝑠𝑠) of large-scale waves leads to large errors. For the measurement scheme at three azimuthal angles, an algorithm was developed for determining the direction of propagation of the dominant wave system, the 𝑚𝑠𝑠 of large-scale waves along the sounding direction and the unnormalized correlation coefficient between the slopes of large-scale waves along the 𝑋 and 𝑌 axes (hereinafter referred to as the correlation coefficient), which requires solving a system of transcendental equations. If we neglect the correlation coefficient in comparison with the 𝑚𝑠𝑠 of large-scale waves, then the solution is in an analytical form. The results of the simplified algorithm are compared with the exact solution. The values of the 𝑚𝑠𝑠 of large-scale waves obtained with the simplified approach can be used both to estimate the intensity of sea waves and as the initial conditions for solving the transcendental equation. The developed algorithms will be used to process the data of the SWIM spectrometer, which will allow for the first time to retrieval a two-dimensional field of large-scale wave slopes. KEYWORDS: Mean square slopes of large-scale waves; normalized radar cross section; small incidence angles; spectrometer SWIM; retrieval algorithms.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Mean square slopes of large-scale waves; normalized radar cross section; small incidence angles; spectrometer SWIM; retrieval algorithms</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Mean square slopes of large-scale waves; normalized radar cross section; small incidence angles; spectrometer SWIM; retrieval algorithms</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">This work was funded by the Russian Science Foundation (Project RSF 20-17-00179).</funding-statement>
    <funding-statement xml:lang="en">This work was funded by the Russian Science Foundation (Project RSF 20-17-00179).</funding-statement>
   </funding-group>
  </article-meta>
 </front>
 <body>
  <p></p>
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