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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">104257</article-id>
   <article-id pub-id-type="doi">10.2205/2025ES001082</article-id>
   <article-id pub-id-type="edn">wqdudv</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">Reconstruction of the Angular Dependence of the Sea Ice Backscattering Pattern According to the GNSS-R Data</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Reconstruction of the Angular Dependence of the Sea Ice Backscattering Pattern According to the GNSS-R Data</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9535-4949</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ковалдов</surname>
       <given-names>Дмитрий Алексеевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kovaldov</surname>
       <given-names>Dmitriy Alekseevich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4054-4905</contrib-id>
     <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 Yur'evich</given-names>
      </name>
     </name-alternatives>
     <email>volody@ipfran.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7762-7731</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Титченко</surname>
       <given-names>Юрий Андреевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Titchenko</surname>
       <given-names>Yuriy Andreevich</given-names>
      </name>
     </name-alternatives>
     <email>yuriy@ipfran.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7902-0212</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Фатеев</surname>
       <given-names>Вячеслав </given-names>
      </name>
      <name xml:lang="en">
       <surname>Fateev</surname>
       <given-names>Vyacheslav </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7591-8877</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Лопатин</surname>
       <given-names>Владислав </given-names>
      </name>
      <name xml:lang="en">
       <surname>Lopatin</surname>
       <given-names>Vladislav </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6888-280X</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Фейсон</surname>
       <given-names>Хуан </given-names>
      </name>
      <name xml:lang="en">
       <surname>Huang</surname>
       <given-names>Feixiong </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-5"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7789-0548</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ван</surname>
       <given-names>Сяоли </given-names>
      </name>
      <name xml:lang="en">
       <surname>Wang</surname>
       <given-names>Xiaoli </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8767-8874</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Го</surname>
       <given-names>Дзе </given-names>
      </name>
      <name xml:lang="en">
       <surname>Guo</surname>
       <given-names>Jie </given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-7"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт прикладной физики РАН</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics, Russian Academy of Sciences</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Федеральный исследовательский центр Институт прикладной физики Российской академии наук</institution>
     <city>Nizhny Novgorod</city>
     <country>RU</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Applied Physics</institution>
     <city>Nizhny Novgorod</city>
     <country>RU</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">ФГУП «ВНИИФТРИ»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">FSUE «VNIIFTRI»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">ФГУП «ВНИИФТРИ»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">FSUE «VNIIFTRI»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Национальный центр космических наук Китайской академии наук</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">National Space Science Center, Chinese Academy of Sciences</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">Институт исследований прибрежной зоны Яньтая</institution>
     <country>Китайская Народная Республика</country>
    </aff>
    <aff>
     <institution xml:lang="en">Yantai Institute of Coastal Zone Research, Chinese Academy of Sciences</institution>
     <country>China</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-7">
    <aff>
     <institution xml:lang="ru">Институт исследований прибрежной зоны Яньтая</institution>
     <country>Китайская Народная Республика</country>
    </aff>
    <aff>
     <institution xml:lang="en">Yantai Institute of Coastal Zone Research, Chinese Academy of Sciences</institution>
     <country>China</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-12-01T00:00:00+03:00">
    <day>01</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-01T00:00:00+03:00">
    <day>01</day>
    <month>12</month>
    <year>2025</year>
   </pub-date>
   <volume>25</volume>
   <issue>5</issue>
   <elocation-id>ES5022</elocation-id>
   <history>
    <date date-type="received" iso-8601-date="2025-09-16T00:00:00+03:00">
     <day>16</day>
     <month>09</month>
     <year>2025</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-11-06T00:00:00+03:00">
     <day>06</day>
     <month>11</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/104257/view">https://rjes.ru/en/nauka/article/104257/view</self-uri>
   <abstract xml:lang="ru">
    <p>This study addresses the challenge of understanding sea ice microwave scattering properties by developing a novel method to retrieve scattering indicatrix and angular dependence of backscattering patterns from Global Navigation Satellite System Reflectometry (GNSS-R) data. Sea ice remote sensing in quasi-specular reflection area requires theoretical models validated using experimental data across different frequency bands. However, only limited observations of quasispecular scattering in the L-band exist. We developed an algorithm to convert Doppler spectra from delay-Doppler maps (DDM) obtained by the TDS-1 satellite into scattering indicatrix and then to angular dependence of the sea ice backscattering patterns, using geometric transformations from bistatic sensing geometry. The method was applied to approximately 100 DDM measurements over the Sea of Okhotsk during February–March 2017, where ice concentration remained at 90–100% with temperatures below 0 °C. Results show that L-band (19 cm wavelength) exhibits broader angular dependence compared to Ka-band (8.45 mm) and Ku-band (2.21 cm) measurements from dual-frequency precipitation radar (DPR), contrary to expectations based solely on surface roughness. This anomalous broadening is attributed to volume scattering effects within sea ice, where L-band signals penetrate up to one meter depth compared to millimeter-scale penetration in Ka- and Kufrequency bands. The findings provide new insights into L-band scattering mechanisms and offer a validated approach for improving theoretical models of sea ice microwave interaction.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>This study addresses the challenge of understanding sea ice microwave scattering properties by developing a novel method to retrieve scattering indicatrix and angular dependence of backscattering patterns from Global Navigation Satellite System Reflectometry (GNSS-R) data. Sea ice remote sensing in quasi-specular reflection area requires theoretical models validated using experimental data across different frequency bands. However, only limited observations of quasispecular scattering in the L-band exist. We developed an algorithm to convert Doppler spectra from delay-Doppler maps (DDM) obtained by the TDS-1 satellite into scattering indicatrix and then to angular dependence of the sea ice backscattering patterns, using geometric transformations from bistatic sensing geometry. The method was applied to approximately 100 DDM measurements over the Sea of Okhotsk during February–March 2017, where ice concentration remained at 90–100% with temperatures below 0 °C. Results show that L-band (19 cm wavelength) exhibits broader angular dependence compared to Ka-band (8.45 mm) and Ku-band (2.21 cm) measurements from dual-frequency precipitation radar (DPR), contrary to expectations based solely on surface roughness. This anomalous broadening is attributed to volume scattering effects within sea ice, where L-band signals penetrate up to one meter depth compared to millimeter-scale penetration in Ka- and Kufrequency bands. The findings provide new insights into L-band scattering mechanisms and offer a validated approach for improving theoretical models of sea ice microwave interaction.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>bistatic</kwd>
    <kwd>scattering indicatrix</kwd>
    <kwd>angular dependence of backscattering</kwd>
    <kwd>sea ice</kwd>
    <kwd>remote sensing</kwd>
    <kwd>L-band</kwd>
    <kwd>GPS</kwd>
    <kwd>TDS-1</kwd>
    <kwd>GNSS-R</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>bistatic</kwd>
    <kwd>scattering indicatrix</kwd>
    <kwd>angular dependence of backscattering</kwd>
    <kwd>sea ice</kwd>
    <kwd>remote sensing</kwd>
    <kwd>L-band</kwd>
    <kwd>GPS</kwd>
    <kwd>TDS-1</kwd>
    <kwd>GNSS-R</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The research was supported by Russian Science Foundation (RSF) project No. 23-67-10007, https://rscf.ru/project/23-67-10007/. The authors express their gratitude to A. Maksimov and R. Volgotov from the “Planeta” Research Center for preparing the data for analysis.</funding-statement>
    <funding-statement xml:lang="en">The research was supported by Russian Science Foundation (RSF) project No. 23-67-10007, https://rscf.ru/project/23-67-10007/. The authors express their gratitude to A. Maksimov and R. Volgotov from the “Planeta” Research Center for preparing the data for analysis.</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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