<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <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">82006</article-id>
   <article-id pub-id-type="doi">10.12737/stp-103202404</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>19TH ANNUAL CONFERENCE “PLASMA PHYSICS IN THE SOLAR SYSTEM”. FEBRUARY 5–9, 2024, SPACE RESEARCH INSTITUTE RAS, MOSCOW, RUSSIA</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>19TH ANNUAL CONFERENCE “PLASMA PHYSICS IN THE SOLAR SYSTEM”. FEBRUARY 5–9, 2024, SPACE RESEARCH INSTITUTE RAS, MOSCOW, RUSSIA</subject>
    </subj-group>
    <subj-group>
     <subject>19TH ANNUAL CONFERENCE “PLASMA PHYSICS IN THE SOLAR SYSTEM”. FEBRUARY 5–9, 2024, SPACE RESEARCH INSTITUTE RAS, MOSCOW, RUSSIA</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Microwave diagnostics of flare plasma by the direct fitting method based on data from the Siberian Radioheliograph</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Microwave diagnostics of flare plasma by the direct fitting method based on data from the Siberian Radioheliograph</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Смирнов</surname>
       <given-names>Дмитрий Александрович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Smirnov</surname>
       <given-names>Dmitriy Aleksandrovich</given-names>
      </name>
     </name-alternatives>
     <email>dmitriy.smirnov@unn.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мельников</surname>
       <given-names>Виктор Федорович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Melnikov</surname>
       <given-names>Viktor Fedorovich</given-names>
      </name>
     </name-alternatives>
     <email>v.melnikov@gaoran.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-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Главная (Пулковская) астрономическая обсерватория РАН</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Central Astronomical Observatory at Pulkovo of RAS</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Нижегородский государственный университетим. Н.И. Лобачевского</institution>
     <city>Нижний Новгород</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">N.I. Lobachevsky State University of Nizhny Novgorod</institution>
     <city>Nizhniy Novgorod</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Главная (Пулковская) астрономическая обсерватория РАН</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Central Astronomical Observatory at Pulkovo of RAS</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-09-29T09:16:08+03:00">
    <day>29</day>
    <month>09</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-09-29T09:16:08+03:00">
    <day>29</day>
    <month>09</month>
    <year>2024</year>
   </pub-date>
   <volume>10</volume>
   <issue>3</issue>
   <fpage>25</fpage>
   <lpage>36</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-04-16T00:00:00+03:00">
     <day>16</day>
     <month>04</month>
     <year>2024</year>
    </date>
    <date date-type="accepted" iso-8601-date="2024-06-24T00:00:00+03:00">
     <day>24</day>
     <month>06</month>
     <year>2024</year>
    </date>
   </history>
   <self-uri xlink:href="https://naukaru.ru/en/nauka/article/82006/view">https://naukaru.ru/en/nauka/article/82006/view</self-uri>
   <abstract xml:lang="ru">
    <p>In this paper, we analyze images and the frequency spectrum of microwave emission in the maximum of brightness distribution in the January 20, 2022 and July 16, 2023 flares recorded by the Siberian Radioheliograph in the 3–6 GHz and 6–12 GHz ranges. We use the obtained spectrum data for radio diagnostics of magnetic field strength and orientation, plasma density, and parameters of accelerated particles in a radio source. The radio diagnostics is carried out by a method based on minimizing the functional containing the intensities of theoretically calculated and observed frequency spectra of left-polarized and right-polarized emission. Since the form of such a multidimensional functional is quite complex, and it is not possible to minimize it by standard approaches, we employ a genetic minimization method. The radio diagnostics allows us to determine features of the dynamics of the magnetic field intensity and orientation, as well as the density and the energy spectral index of non-thermal electrons in the region of maximum brightness of the radio source. We have found that during the growth phase of the main radiation peaks the magnetic field decreases, whereas during the decay phase, on the contrary, it increases. The rate of these changes varies from a few G/s to 11 G/s for the January 20, 2022 flare and is about 1 G/s for the July 16, 2023 flare.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In this paper, we analyze images and the frequency spectrum of microwave emission in the maximum of brightness distribution in the January 20, 2022 and July 16, 2023 flares recorded by the Siberian Radioheliograph in the 3–6 GHz and 6–12 GHz ranges. We use the obtained spectrum data for radio diagnostics of magnetic field strength and orientation, plasma density, and parameters of accelerated particles in a radio source. The radio diagnostics is carried out by a method based on minimizing the functional containing the intensities of theoretically calculated and observed frequency spectra of left-polarized and right-polarized emission. Since the form of such a multidimensional functional is quite complex, and it is not possible to minimize it by standard approaches, we employ a genetic minimization method. The radio diagnostics allows us to determine features of the dynamics of the magnetic field intensity and orientation, as well as the density and the energy spectral index of non-thermal electrons in the region of maximum brightness of the radio source. We have found that during the growth phase of the main radiation peaks the magnetic field decreases, whereas during the decay phase, on the contrary, it increases. The rate of these changes varies from a few G/s to 11 G/s for the January 20, 2022 flare and is about 1 G/s for the July 16, 2023 flare.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>solar flares</kwd>
    <kwd>radioheliograph</kwd>
    <kwd>radio diagnostics</kwd>
    <kwd>magnetic field</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>solar flares</kwd>
    <kwd>radioheliograph</kwd>
    <kwd>radio diagnostics</kwd>
    <kwd>magnetic field</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The work was financially supported by RSF (Grant No. 22-12-00308)</funding-statement>
    <funding-statement xml:lang="en">The work was financially supported by RSF (Grant No. 22-12-00308)</funding-statement>
   </funding-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Altyntsev A.T., Lesovoi S.V., Globa M.V., Gubin A.V., Kochanov A.A., Grechnev V.V., et al. Multiwave Siberian Radioheliograph. Solar-Terr. Phys. 2020, vol. 6, no. 2, pp. 30–40. DOI: 10.12737/stp-62202003.</mixed-citation>
     <mixed-citation xml:lang="en">Altyntsev A.T., Lesovoi S.V., Globa M.V., Gubin A.V., Kochanov A.A., Grechnev V.V., et al. Multiwave Siberian Radioheliograph. Solar-Terr. Phys. 2020, vol. 6, no. 2, pp. 30–40. DOI: 10.12737/stp-62202003.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bogachev S.A., Somov B.V. Comparison of the Fermi and betatron acceleration efficiencies in collapsing magnetic traps. Astrophys. J. Lett. 2005, vol. 31, no. 8, pp. 537–545. DOI: 10.1134/1.2007030.</mixed-citation>
     <mixed-citation xml:lang="en">Bogachev S.A., Somov B.V. Comparison of the Fermi and betatron acceleration efficiencies in collapsing magnetic traps. Astrophys. J. Lett. 2005, vol. 31, no. 8, pp. 537–545. DOI: 10.1134/1.2007030.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Christiansen U., Högbom I. Radioteleskopy [Radio telescopes]. Moscow, Mir Publ., 1988, p. 294. (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Christiansen U., Högbom I. Radioteleskopy [Radio telescopes]. Moscow, Mir Publ., 1988, p. 294. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Condon J.J. Errors in Elliptical Gaussian Fits. Publications of the Astronomical Society of the Pacific. 1997, vol. 109, pp. 166–172. DOI: 10.1086/133871.</mixed-citation>
     <mixed-citation xml:lang="en">Condon J.J. Errors in Elliptical Gaussian Fits. Publications of the Astronomical Society of the Pacific. 1997, vol. 109, pp. 166–172. DOI: 10.1086/133871.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Dulk G. Radio emission from the Sun and stars. Ann. Rev. Astron. Astrophys. 1985, vol. 23, pp. 169–224. DOI: 10.1146/annurev.aa.23.090185.001125.</mixed-citation>
     <mixed-citation xml:lang="en">Dulk G. Radio emission from the Sun and stars. Ann. Rev. Astron. Astrophys. 1985, vol. 23, pp. 169–224. DOI: 10.1146/annurev.aa.23.090185.001125.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fleishman G.D., Melnikov V.F. Gyrosynchrotron emission from anisotropic electron distributions. Astrophys. J. 2003, vol. 587, no. 2, pp. 823–835. DOI: 10.1086/368252.</mixed-citation>
     <mixed-citation xml:lang="en">Fleishman G.D., Melnikov V.F. Gyrosynchrotron emission from anisotropic electron distributions. Astrophys. J. 2003, vol. 587, no. 2, pp. 823–835. DOI: 10.1086/368252.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fleishman G.D., Kuznetsov A.A. Fast gyrosynchrotron codes. Astrophys. J. 2010, vol. 721, no. 2, pp. 1127–1141. DOI: 10.1088/0004-637X/721/2/1127.</mixed-citation>
     <mixed-citation xml:lang="en">Fleishman G.D., Kuznetsov A.A. Fast gyrosynchrotron codes. Astrophys. J. 2010, vol. 721, no. 2, pp. 1127–1141. DOI: 10.1088/0004-637X/721/2/1127.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fleishman G.D., Nita G.M., Gary D.E. Dynamic magnetography of solar flaring loops. Astrophys. J. Lett. 2009, vol. 698, no. 2, pp. 183–187. DOI: 10.1088/0004-637X/698/2/L183.</mixed-citation>
     <mixed-citation xml:lang="en">Fleishman G.D., Nita G.M., Gary D.E. Dynamic magnetography of solar flaring loops. Astrophys. J. Lett. 2009, vol. 698, no. 2, pp. 183–187. DOI: 10.1088/0004-637X/698/2/L183.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fleishman G.D., Gary D.E., Chen B., Kuroda N., Yu S., Nita G.M. Decay of the coronal magnetic field can release sufficient energy to power a solar flare. Science. 2020, vol. 367, no. 6475, pp. 278–280. DOI: 10.1126/science.aax6874.</mixed-citation>
     <mixed-citation xml:lang="en">Fleishman G.D., Gary D.E., Chen B., Kuroda N., Yu S., Nita G.M. Decay of the coronal magnetic field can release sufficient energy to power a solar flare. Science. 2020, vol. 367, no. 6475, pp. 278–280. DOI: 10.1126/science.aax6874.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fleishman G.D., Nita G.M., Chen B., Yu S., Gary D.E. Solar flare accelerates nearly all electrons in a large coronal volume. Nature. 2022, vol. 606, pp. 674–677. DOI: 10.1038/s41586-022-04728-8.</mixed-citation>
     <mixed-citation xml:lang="en">Fleishman G.D., Nita G.M., Chen B., Yu S., Gary D.E. Solar flare accelerates nearly all electrons in a large coronal volume. Nature. 2022, vol. 606, pp. 674–677. DOI: 10.1038/s41586-022-04728-8.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gary D.E., Fleishman G.D., Nita G.M. Magnetography of solar flaring loops with microwave imaging spectropolarimetry. Solar Phys. 2013, vol. 288, no. 2, pp. 549–565. DOI: 10.1007/s11207-013-0299-3.</mixed-citation>
     <mixed-citation xml:lang="en">Gary D.E., Fleishman G.D., Nita G.M. Magnetography of solar flaring loops with microwave imaging spectropolarimetry. Solar Phys. 2013, vol. 288, no. 2, pp. 549–565. DOI: 10.1007/s11207-013-0299-3.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gary D.E., Chen B., Dennis B.R., Fleishman G.D., Hurford G.J., Krucker S., et al. Microwave and hard X-ray observations of the 2017 September 10 solar limb flare. Astrophys. J. 2018, vol. 863, no. 1, 9 p. DOI: 10.3847/1538-4357/aad0ef.</mixed-citation>
     <mixed-citation xml:lang="en">Gary D.E., Chen B., Dennis B.R., Fleishman G.D., Hurford G.J., Krucker S., et al. Microwave and hard X-ray observations of the 2017 September 10 solar limb flare. Astrophys. J. 2018, vol. 863, no. 1, 9 p. DOI: 10.3847/1538-4357/aad0ef.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kuznetsov S.A., Melnikov V.F. Modeling the effect of dense plasma on the dynamics of the microwave spectrum of solar flaring loops. Geomagnetism and Aeronomy. 2012, vol. 52, no. 7, pp. 883–891.</mixed-citation>
     <mixed-citation xml:lang="en">Kuznetsov S.A., Melnikov V.F. Modeling the effect of dense plasma on the dynamics of the microwave spectrum of solar flaring loops. Geomagnetism and Aeronomy. 2012, vol. 52, no. 7, pp. 883–891.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Morgachev A.S., Kuznetsov S.A., Melnikov V.F. Radio diagnostics of the solar flaring loop parameters by direct fitting method. Geomagnetism and Aeronomy. 2014, vol. 54, no. 7, pp. 933–942. DOI: 10.1134/S0016793214070081.</mixed-citation>
     <mixed-citation xml:lang="en">Morgachev A.S., Kuznetsov S.A., Melnikov V.F. Radio diagnostics of the solar flaring loop parameters by direct fitting method. Geomagnetism and Aeronomy. 2014, vol. 54, no. 7, pp. 933–942. DOI: 10.1134/S0016793214070081.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Parker E.N. Cosmical Magnetic Fields. Part 1. Clarendon Press, Oxford, 1979.</mixed-citation>
     <mixed-citation xml:lang="en">Parker E.N. Cosmical Magnetic Fields. Part 1. Clarendon Press, Oxford, 1979.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Razin V.A. To the Theory of radio emission spectra caused by discrete sources at frequencies lower than 30 MHz. Izvestiya vysshih uchebnyh zavedenij. Radiofizika [News of higher educational institutions. Radiophysics]. 1960, vol. 3, no. 4, pp. 584–594. (In Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Razin V.A. To the Theory of radio emission spectra caused by discrete sources at frequencies lower than 30 MHz. Izvestiya vysshih uchebnyh zavedenij. Radiofizika [News of higher educational institutions. Radiophysics]. 1960, vol. 3, no. 4, pp. 584–594. (In Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Reznikova V.E., Melnikov V.F., Shibasaki K., Gorbikov S.P., Pyatakov N.P., Myagkova I.N., Ji H. 2002 August 24 limb flare loop: dynamics of microwave brightness distribution. Astrophys. J. 2009, vol. 697, pp. 735–746.</mixed-citation>
     <mixed-citation xml:lang="en">Reznikova V.E., Melnikov V.F., Shibasaki K., Gorbikov S.P., Pyatakov N.P., Myagkova I.N., Ji H. 2002 August 24 limb flare loop: dynamics of microwave brightness distribution. Astrophys. J. 2009, vol. 697, pp. 735–746.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Solov’ev A.A., Kirichek E.A. Properties of the flare energy release in force-free magnetic flux ropes. Astron. Lett. 2023, vol. 49, no. 5, pp. 257–269. DOI: 10.1134/S1063773723050055.</mixed-citation>
     <mixed-citation xml:lang="en">Solov’ev A.A., Kirichek E.A. Properties of the flare energy release in force-free magnetic flux ropes. Astron. Lett. 2023, vol. 49, no. 5, pp. 257–269. DOI: 10.1134/S1063773723050055.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Somov B.V., Kosugi T. Collisionless reconnection and high-energy particle acceleration in solar flares. Astrophys. J. 1997, vol. 485, no. 2, pp. 859−868. DOI: 10.1086/304449.</mixed-citation>
     <mixed-citation xml:lang="en">Somov B.V., Kosugi T. Collisionless reconnection and high-energy particle acceleration in solar flares. Astrophys. J. 1997, vol. 485, no. 2, pp. 859−868. DOI: 10.1086/304449.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wu Zh., Kuznetsov A., Anfinogentov S., Melnikov V., Sych R., et al. A multipeak solar flare with a high turnover frequency of the gyrosynchrotron spectra from the loop-top source. Astrophys. J. 2024, vol. 968, no. 1, 11 p. DOI: 10.3847/1538-4357/ad46ff.</mixed-citation>
     <mixed-citation xml:lang="en">Wu Zh., Kuznetsov A., Anfinogentov S., Melnikov V., Sych R., et al. A multipeak solar flare with a high turnover frequency of the gyrosynchrotron spectra from the loop-top source. Astrophys. J. 2024, vol. 968, no. 1, 11 p. DOI: 10.3847/1538-4357/ad46ff.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yan Y., Chen Z., Wang W., Liu F., Geng L., Chen L., et al. Mingantu spectral radioheliograph for solar and space weather studies. Frontiers in Astronomy and Space Sciences. 2021, vol. 8:584043. DOI: 10.3389/fspas.2021.584043.</mixed-citation>
     <mixed-citation xml:lang="en">Yan Y., Chen Z., Wang W., Liu F., Geng L., Chen L., et al. Mingantu spectral radioheliograph for solar and space weather studies. Frontiers in Astronomy and Space Sciences. 2021, vol. 8:584043. DOI: 10.3389/fspas.2021.584043.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zirin H., Baumert B.M., Hurford G.J. The microwave brightness temperature spectrum of the quiet Sun. Astrophys. J. 1991, vol. 370, pp. 779–783. DOI: 10.1086/169861</mixed-citation>
     <mixed-citation xml:lang="en">Zirin H., Baumert B.M., Hurford G.J. The microwave brightness temperature spectrum of the quiet Sun. Astrophys. J. 1991, vol. 370, pp. 779–783. DOI: 10.1086/169861</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
