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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2500-0535</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">75259</article-id>
   <article-id pub-id-type="doi">10.12737/stp-102202409</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Results of current research</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">HF radio path modeling by waveguide approach</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>HF radio path modeling by waveguide approach</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/0000-0002-1371-6855</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Пономарчук</surname>
       <given-names>Сергей Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ponomarchuk</surname>
       <given-names>Sergey Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>spon@iszf.irk.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">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5120-1150</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Куркин</surname>
       <given-names>Владимир Иванович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kurkin</surname>
       <given-names>Vladimir Ivanovich</given-names>
      </name>
     </name-alternatives>
     <email>kurkin@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>доктор физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Ильин</surname>
       <given-names>Николай Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Ilyin</surname>
       <given-names>Nikolay Viktorovich</given-names>
      </name>
     </name-alternatives>
     <email>ilyin@iszf.irk.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-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Пензин</surname>
       <given-names>Максим Сергеевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Penzin</surname>
       <given-names>Maksim Sergeevich</given-names>
      </name>
     </name-alternatives>
     <email>penzin.maksim@gmail.com</email>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar-Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city>Иркутск</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city>Irkutsk</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-06-25T17:46:03+03:00">
    <day>25</day>
    <month>06</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-06-25T17:46:03+03:00">
    <day>25</day>
    <month>06</month>
    <year>2024</year>
   </pub-date>
   <volume>10</volume>
   <issue>2</issue>
   <fpage>93</fpage>
   <lpage>101</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-02-15T00:00:00+03:00">
     <day>15</day>
     <month>02</month>
     <year>2024</year>
    </date>
    <date date-type="accepted" iso-8601-date="2024-05-06T00:00:00+03:00">
     <day>06</day>
     <month>05</month>
     <year>2024</year>
    </date>
   </history>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/75259/view">https://zh-szf.ru/en/nauka/article/75259/view</self-uri>
   <abstract xml:lang="ru">
    <p>We present a scheme for modeling HF radio signal characteristics along paths of different lengths, which is based on the waveguide approach — the normal mode method. We use a representation of the recorded signal field in the form of Green function products of the angular operator, excitation coefficients, and reception coefficients of individual normal modes. Algorithms have been developed for calculating distance-frequency, frequency-angular, and amplitude characteristics of signals in large spatial regions through analysis and numerical summation of normal mode series. We have implemented a complex algorithm for simulating propagation conditions of HF radio signals, which includes a medium model, algorithms for calculating signal characteristics, and operational diagnostics of radio channel. We have compared the results of the HF signal propagation characteristic modeling and the experimental oblique sounding data obtained along paths of different lengths and orientation. To analyze experimental ionograms, determine the maximum usable frequencies for propagation modes along radio paths, we employ the method of automatic processing and interpretation of oblique sounding ionograms.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>We present a scheme for modeling HF radio signal characteristics along paths of different lengths, which is based on the waveguide approach — the normal mode method. We use a representation of the recorded signal field in the form of Green function products of the angular operator, excitation coefficients, and reception coefficients of individual normal modes. Algorithms have been developed for calculating distance-frequency, frequency-angular, and amplitude characteristics of signals in large spatial regions through analysis and numerical summation of normal mode series. We have implemented a complex algorithm for simulating propagation conditions of HF radio signals, which includes a medium model, algorithms for calculating signal characteristics, and operational diagnostics of radio channel. We have compared the results of the HF signal propagation characteristic modeling and the experimental oblique sounding data obtained along paths of different lengths and orientation. To analyze experimental ionograms, determine the maximum usable frequencies for propagation modes along radio paths, we employ the method of automatic processing and interpretation of oblique sounding ionograms.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>radio wave propagation</kwd>
    <kwd>waveguide approach</kwd>
    <kwd>radio path forecast</kwd>
    <kwd>ionogram</kwd>
    <kwd>radio channel diagnostics</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>radio wave propagation</kwd>
    <kwd>waveguide approach</kwd>
    <kwd>radio path forecast</kwd>
    <kwd>ionogram</kwd>
    <kwd>radio channel diagnostics</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (Subsidy No. 075-GZ/Ts3569/278)</funding-statement>
    <funding-statement xml:lang="en">The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (Subsidy No. 075-GZ/Ts3569/278)</funding-statement>
   </funding-group>
  </article-meta>
 </front>
 <body>
  <p></p>
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