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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">49650</article-id>
   <article-id pub-id-type="doi">10.2205/2022ES000795</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">On some possibilities of multi-frequency remote sensing of the water surface</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>On some possibilities of multi-frequency remote sensing of the water surface</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/0000-0001-7762-7731</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-1"/>
    </contrib>
    <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>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Хе</surname>
       <given-names>Юджин </given-names>
      </name>
      <name xml:lang="en">
       <surname>He</surname>
       <given-names>Yijun </given-names>
      </name>
     </name-alternatives>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <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>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-07-02T00:00:00+03:00">
    <day>02</day>
    <month>07</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-07-02T00:00:00+03:00">
    <day>02</day>
    <month>07</month>
    <year>2022</year>
   </pub-date>
   <volume>22</volume>
   <issue>3</issue>
   <fpage>1</fpage>
   <lpage>10</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-02-24T00:00:00+03:00">
     <day>24</day>
     <month>02</month>
     <year>2022</year>
    </date>
    <date date-type="accepted" iso-8601-date="2022-05-21T00:00:00+03:00">
     <day>21</day>
     <month>05</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://ras.editorum.ru/en/nauka/article/49650/view">https://ras.editorum.ru/en/nauka/article/49650/view</self-uri>
   <abstract xml:lang="ru">
    <p>This study is aimed at expanding the number of measured parameters to analyze the features of the formation of surface waves under the influence of wind. The paper develops an original approach to obtaining information on the variability of the short-wave part of the wave spectrum (examples are given for wavelengths from about 50 cm to 2 cm in 6 intervals) and the long-wave component of the wave spectrum (&gt; 1 m) in marine conditions. To illustrate the approach, a six-frequency underwater acoustic wave gauge was simulated, which measures the slope variance of the large-scale waves, compared to the radiation wavelength, for each radiation frequency. The work is caried out a theoretical analysis of slope variance retrieved from reflected acoustic pulses for different radiation frequencies depending on the near-surface wind speed and swell wave height. For comparison, a study of a new parameter, the differential slope variance, is carried out, which contains information about short waves in the intervals of cut-off wavenumbers corresponding to the radiation frequencies. It is shown that the use of differential slope variances of the large-scale waves makes it possible to get clear of the influence of swell in the case of mixed waves and obtain a better correlation with the wind speed. The paper proposes a method for retrieving the exponent of the spectral slope in the intervals of cut-off wavelength corresponded to the radiation frequencies. Within this method, it is possible to retrieve the cut-off wavenumbers for each radiation frequency.Данная работа посвящена теоретическому анализу восстановленных по отраженным акустическим импульсам дисперсий уклонов для разных частот излучения в зависимости от скорости приводного ветра и высоты волн зыби. Проведено исследование измеряемых дисперсий уклонов крупномасштабного, по сравнению с длиной волны излучения, волнения в шести интервалах в зависимости от скорости ветра и высоты зыби. Показано, что применение разностных дисперсий уклонов крупномасштабного волнения позволяет избавиться от влияния зыби в случае смешанного волнения и получить лучшую корреляцию  скорости ветра и уклонов крупномасштабного волнения. Предложен метод восстановления закона спадания спектра высот волн в заданных интервалах длин волн зондирующего излучения. В рамках данного метола можно восстановить  граничные волновые числа для каждой длины волны излучения.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>This study is aimed at expanding the number of measured parameters to analyze the features of the formation of surface waves under the influence of wind. The paper develops an original approach to obtaining information on the variability of the short-wave part of the wave spectrum (examples are given for wavelengths from about 50 cm to 2 cm in 6 intervals) and the long-wave component of the wave spectrum (&gt; 1 m) in marine conditions. To illustrate the approach, a six-frequency underwater acoustic wave gauge was simulated, which measures the slope variance of the large-scale waves, compared to the radiation wavelength, for each radiation frequency. The work is caried out a theoretical analysis of slope variance retrieved from reflected acoustic pulses for different radiation frequencies depending on the near-surface wind speed and swell wave height. For comparison, a study of a new parameter, the differential slope variance, is carried out, which contains information about short waves in the intervals of cut-off wavenumbers corresponding to the radiation frequencies. It is shown that the use of differential slope variances of the large-scale waves makes it possible to get clear of the influence of swell in the case of mixed waves and obtain a better correlation with the wind speed. The paper proposes a method for retrieving the exponent of the spectral slope in the intervals of cut-off wavelength corresponded to the radiation frequencies. Within this method, it is possible to retrieve the cut-off wavenumbers for each radiation frequency.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Air/sea interactions</kwd>
    <kwd>Instruments and techniques</kwd>
    <kwd>Ocean observing systems</kwd>
    <kwd>Ocean remote sensing statistically rough wave</kwd>
    <kwd>scattering surface</kwd>
    <kwd>antenna radiation pattern</kwd>
    <kwd>Kirchhoff approximation</kwd>
    <kwd>quasi-specular scattering</kwd>
    <kwd>slope variance</kwd>
    <kwd>height variance</kwd>
    <kwd>significant wave height</kwd>
    <kwd>multifrequency remote sensing</kwd>
    <kwd>underwater acoustic wave gauge</kwd>
    <kwd>small-scale waves</kwd>
    <kwd>height spectrum</kwd>
    <kwd>slope spectrum</kwd>
    <kwd>swell.</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Air/sea interactions</kwd>
    <kwd>Instruments and techniques</kwd>
    <kwd>Ocean observing systems</kwd>
    <kwd>Ocean remote sensing statistically rough wave</kwd>
    <kwd>scattering surface</kwd>
    <kwd>antenna radiation pattern</kwd>
    <kwd>Kirchhoff approximation</kwd>
    <kwd>quasi-specular scattering</kwd>
    <kwd>slope variance</kwd>
    <kwd>height variance</kwd>
    <kwd>significant wave height</kwd>
    <kwd>multifrequency remote sensing</kwd>
    <kwd>underwater acoustic wave gauge</kwd>
    <kwd>small-scale waves</kwd>
    <kwd>height spectrum</kwd>
    <kwd>slope spectrum</kwd>
    <kwd>swell.</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The study was carried out at the expense of a grant from the Russian Science Foundation (project No. 20-77-10089).</funding-statement>
    <funding-statement xml:lang="en">The study was carried out at the expense of a grant from the Russian Science Foundation (project No. 20-77-10089).</funding-statement>
   </funding-group>
  </article-meta>
 </front>
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