<?xml version="1.0"?>
<!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">13705</article-id>
   <article-id pub-id-type="doi">10.12737/22285</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">Latitudinal amplitude-phase structure of MHD waves: STARE radar and image magnetometer observations and modeling</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Latitudinal amplitude-phase structure of MHD waves: STARE radar and image magnetometer observations and modeling</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/0000-0003-3056-7465</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Пилипенко</surname>
       <given-names>Вячеслав Анатольевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Pilipenko</surname>
       <given-names>Vyacheslav Anatolievich</given-names>
      </name>
     </name-alternatives>
     <email>space.soliton@gmail.com</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-1"/>
     <xref ref-type="aff" rid="aff-2"/>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0825-151X</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Козырева</surname>
       <given-names>Ольга Васильевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kozyreva</surname>
       <given-names>Olga Vasilyevna</given-names>
      </name>
     </name-alternatives>
     <email>kozyreva@ifz.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-4"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5516-3155</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Федоров</surname>
       <given-names>Евгений Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Fedorov</surname>
       <given-names>Evgeny Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>enfedorov1@yandex.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-5"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Успенский</surname>
       <given-names>Михаил Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Uspensky</surname>
       <given-names>Mikhail Vladimirovich</given-names>
      </name>
     </name-alternatives>
     <email>mikhail.uspensky@fmi.fi</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-6"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кауристи</surname>
       <given-names>Кирсти </given-names>
      </name>
      <name xml:lang="en">
       <surname>Kauristie</surname>
       <given-names>Kirsti </given-names>
      </name>
     </name-alternatives>
     <email>kirsti.kauristie@fmi.fi</email>
     <xref ref-type="aff" rid="aff-7"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт физики Земли им. О.Ю. Шмидта РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Schmidt Institute of Physics of the Earth RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Геофизический центр РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Geophysical Center RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Институт космических исследований</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Space Research Institute</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Институт физики Земли им. О.Ю. Шмидта РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Schmidt Institute of Physics of the Earth, RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Институт физики Земли им. О.Ю. Шмидта РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Schmidt Institute of Physics of the Earth RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">Финский метеорологический институт</institution>
     <city>Хельсинки</city>
     <country>Финляндия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Finnish Meteorological Institute</institution>
     <city>Helsinki</city>
     <country>Finland</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-7">
    <aff>
     <institution xml:lang="ru">Финский метеорологический институт</institution>
     <city>Хельсинки</city>
     <country>Финляндия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Finnish Meteorological Institute</institution>
     <city>Helsinki</city>
     <country>Finland</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2016-10-24T00:00:00+03:00">
    <day>24</day>
    <month>10</month>
    <year>2016</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2016-10-24T00:00:00+03:00">
    <day>24</day>
    <month>10</month>
    <year>2016</year>
   </pub-date>
   <volume>2</volume>
   <issue>3</issue>
   <fpage>56</fpage>
   <lpage>73</lpage>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/13705/view">https://zh-szf.ru/en/nauka/article/13705/view</self-uri>
   <abstract xml:lang="ru">
    <p>We have developed a numerical model that yields a steady-state distribution of field components of MHD wave in an inhomogeneous plasma box simulating the realistic magnetosphere. The problem of adequate boundary condition at the ionosphere–magnetosphere interface for coupled MHD mode is considered. To justify the model’s assumptions, we have derived the explicit inequality showing when the ionospheric inductive Hall effect can be neglected upon the consideration of Alfven wave reflection from the ionospheric boundaries. The model predicts a feature of the ULF spatial amplitude/phase distribution that has not been noticed by the field line resonance theory: the existence of a region with opposite phase delays on the source side of the resonance. This theoretical prediction is supported by the amplitude-phase latitudinal structures of Pc5 waves observed by STARE radar and IMAGE magnetometers. A gradual decrease in azimuthal wave number m at smaller L-shells was observed at longitudinally separated radar beams.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>We have developed a numerical model that yields a steady-state distribution of field components of MHD wave in an inhomogeneous plasma box simulating the realistic magnetosphere. The problem of adequate boundary condition at the ionosphere–magnetosphere interface for coupled MHD mode is considered. To justify the model’s assumptions, we have derived the explicit inequality showing when the ionospheric inductive Hall effect can be neglected upon the consideration of Alfven wave reflection from the ionospheric boundaries. The model predicts a feature of the ULF spatial amplitude/phase distribution that has not been noticed by the field line resonance theory: the existence of a region with opposite phase delays on the source side of the resonance. This theoretical prediction is supported by the amplitude-phase latitudinal structures of Pc5 waves observed by STARE radar and IMAGE magnetometers. A gradual decrease in azimuthal wave number m at smaller L-shells was observed at longitudinally separated radar beams.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>MHD waves</kwd>
    <kwd>Geomagnetic pulsations</kwd>
    <kwd>Mode conversion</kwd>
    <kwd>Ionospheric radar</kwd>
    <kwd>Magnetometer</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>MHD waves</kwd>
    <kwd>Geomagnetic pulsations</kwd>
    <kwd>Mode conversion</kwd>
    <kwd>Ionospheric radar</kwd>
    <kwd>Magnetometer</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Agapitov A.V., Cheremnykh O.K., Parnowski A.S. Ballooning perturbations in the inner magnetosphere of the Earth: spectrum, stability and eigenmode analysis. Adv. Space Res. 2007, vol. 41, pp. 1682-1687.</mixed-citation>
     <mixed-citation xml:lang="en">Agapitov A.V., Cheremnykh O.K., Parnowski A.S. Ballooning perturbations in the inner magnetosphere of the Earth: spectrum, stability and eigenmode analysis. Adv. Space Res. 2007, vol. 41, pp. 1682-1687.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Allan W., Poulter E.M. The spatial structure of different ULF pulsation types: A review of STARE radar results. Rev. Geophys. 1984, vol. 22, pp. 85-97.</mixed-citation>
     <mixed-citation xml:lang="en">Allan W., Poulter E.M. The spatial structure of different ULF pulsation types: A review of STARE radar results. Rev. Geophys. 1984, vol. 22, pp. 85-97.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Allan W. White S.P., Poulter E.M. Impulse excited hydromagnetic cavity and field line resonances in the magnetosphere. Planet. Space Sci. 1986, vol. 34, pp. 371.</mixed-citation>
     <mixed-citation xml:lang="en">Allan W. White S.P., Poulter E.M. Impulse excited hydromagnetic cavity and field line resonances in the magnetosphere. Planet. Space Sci. 1986, vol. 34, pp. 371.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Alperovich L.S., Fedorov E.N. Hydromagnetic waves in the magnetosphere and the ionosphere. Ser. Astrophysics and Space Science Library. 2009, vol. 353, XXIV, 418 p.</mixed-citation>
     <mixed-citation xml:lang="en">Alperovich L.S., Fedorov E.N. Hydromagnetic waves in the magnetosphere and the ionosphere. Ser. Astrophysics and Space Science Library. 2009, vol. 353, XXIV, 418 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Baransky L.N., Green A.W., Fedorov E.N., et al. Gradient and polarization methods of ground-based monitoring of magnetospheric plasma. J. Geomag. Geoelectr. 1995, vol. 47, pp. 1293-1309.</mixed-citation>
     <mixed-citation xml:lang="en">Baransky L.N., Green A.W., Fedorov E.N., et al. Gradient and polarization methods of ground-based monitoring of magnetospheric plasma. J. Geomag. Geoelectr. 1995, vol. 47, pp. 1293-1309.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chen L., Cowley S.C. On field line resonance of hydromagnetic Alfven waves in dipole magnetic field. Geophys. Res. Lett. 1989, vol. 16, pp. 895-897.</mixed-citation>
     <mixed-citation xml:lang="en">Chen L., Cowley S.C. On field line resonance of hydromagnetic Alfven waves in dipole magnetic field. Geophys. Res. Lett. 1989, vol. 16, pp. 895-897.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Coult N., Pilipenko V., Engebretson M. Suppression of resonant field line oscillations by a turbulent background. Planetary Space Sci. 2007, vol. 55, pp. 694-700.</mixed-citation>
     <mixed-citation xml:lang="en">Coult N., Pilipenko V., Engebretson M. Suppression of resonant field line oscillations by a turbulent background. Planetary Space Sci. 2007, vol. 55, pp. 694-700.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fedorov E.N., Belenkaya B.N., Gokhberg M.B., et al. Magnetospheric plasma density diagnosis from gradient measurements of geomagnetic pulsations. Planet. Space Sci. 1990, vol. 38, pp. 269-272.</mixed-citation>
     <mixed-citation xml:lang="en">Fedorov E.N., Belenkaya B.N., Gokhberg M.B., et al. Magnetospheric plasma density diagnosis from gradient measurements of geomagnetic pulsations. Planet. Space Sci. 1990, vol. 38, pp. 269-272.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fedorov E.N., Mazur N.G., Pilipenko V.A., Yumoto K. On the theory of field line resonances in plasma configurations. Physics of Plasmas. 1995, vol. 2, pp. 527-532.</mixed-citation>
     <mixed-citation xml:lang="en">Fedorov E.N., Mazur N.G., Pilipenko V.A., Yumoto K. On the theory of field line resonances in plasma configurations. Physics of Plasmas. 1995, vol. 2, pp. 527-532.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fedorov E., Mazur N., Pilipenko V., Yumoto K. MHD wave conversion in plasma waveguides. J. Geophys. Res. 1998, vol. 103, pp. 26595-26605.</mixed-citation>
     <mixed-citation xml:lang="en">Fedorov E., Mazur N., Pilipenko V., Yumoto K. MHD wave conversion in plasma waveguides. J. Geophys. Res. 1998, vol. 103, pp. 26595-26605.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Green C. Meridional characteristics of Pc4 micropulsations event in the plasmasphere. Planet. Space Sci. 1978, vol. 26, pp. 955.</mixed-citation>
     <mixed-citation xml:lang="en">Green C. Meridional characteristics of Pc4 micropulsations event in the plasmasphere. Planet. Space Sci. 1978, vol. 26, pp. 955.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hameiri E., Kivelson M.G. Magnetospheric waves and the atmosphere-ionosphere layer. J. Geophys. Res. 1991, vol. 96, pp. 21125-21134.</mixed-citation>
     <mixed-citation xml:lang="en">Hameiri E., Kivelson M.G. Magnetospheric waves and the atmosphere-ionosphere layer. J. Geophys. Res. 1991, vol. 96, pp. 21125-21134.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kawano H., Yumoto K., Pilipenko V.A., et al. Restoration of continuous field line eigenfrequency distribution from ground-based ULF observations. J. Geophys. Res. 2002, vol. 107, SMP 25 1-12.</mixed-citation>
     <mixed-citation xml:lang="en">Kawano H., Yumoto K., Pilipenko V.A., et al. Restoration of continuous field line eigenfrequency distribution from ground-based ULF observations. J. Geophys. Res. 2002, vol. 107, SMP 25 1-12.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kivelson M.G., Southwood D.J. Coupling of global magnetospheric MHD eigenmodes to field line resonances. J. Geo-phys. Res. 1986, vol. 91, pp. 4345-4351.</mixed-citation>
     <mixed-citation xml:lang="en">Kivelson M.G., Southwood D.J. Coupling of global magnetospheric MHD eigenmodes to field line resonances. J. Geo-phys. Res. 1986, vol. 91, pp. 4345-4351.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kleimenova N.G., Kozyreva O.V., Vlasov A.A., et al. Afternoon Pc5 geomagnetic pulsations on the Earth’s surface and in the ionosphere (STARE radars). Geomagnetism and Aeronomy. 2010, vol. 50, pp. 329-338.</mixed-citation>
     <mixed-citation xml:lang="en">Kleimenova N.G., Kozyreva O.V., Vlasov A.A., et al. Afternoon Pc5 geomagnetic pulsations on the Earth’s surface and in the ionosphere (STARE radars). Geomagnetism and Aeronomy. 2010, vol. 50, pp. 329-338.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Klimushkin D.Yu., Mager P.N., Glassmeier K.-H. Toroidal and poloidal Alfven waves with arbitrary azimuthal wave numbers in a field pressure plasma in the Earth’s magnetosphere. Ann. Geophys. 2004, vol. 22, pp. 267-288.</mixed-citation>
     <mixed-citation xml:lang="en">Klimushkin D.Yu., Mager P.N., Glassmeier K.-H. Toroidal and poloidal Alfven waves with arbitrary azimuthal wave numbers in a field pressure plasma in the Earth’s magnetosphere. Ann. Geophys. 2004, vol. 22, pp. 267-288.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Krylov A.L., Lifshitz A.E., Fedorov E.N. About resonant properties of the magnetosphere. Izv. AN SSSR, Fizika Zemli, [Izvestiya. Physics of the Solid Earth]. 1981, vol. N6, pp. 49-59.</mixed-citation>
     <mixed-citation xml:lang="en">Krylov A.L., Lifshitz A.E., Fedorov E.N. About resonant properties of the magnetosphere. Izv. AN SSSR, Fizika Zemli, [Izvestiya. Physics of the Solid Earth]. 1981, vol. N6, pp. 49-59.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kurchashov Yu.P., Nikomarov Ya.S., Pilipenko V.A., Best A. Field-line resonance effects in a local meridional structure of mid-latitude geomagnetic pulsations. Annales Geophysicae. 1987, vol. 5A, pp. 147-154.</mixed-citation>
     <mixed-citation xml:lang="en">Kurchashov Yu.P., Nikomarov Ya.S., Pilipenko V.A., Best A. Field-line resonance effects in a local meridional structure of mid-latitude geomagnetic pulsations. Annales Geophysicae. 1987, vol. 5A, pp. 147-154.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lee D.-H., Lysak R.L. Magnetospheric ULF wave coupling in the dipole model: the impulsive excitation. J. Geophys. Res. 1989, vol. 94, pp. 17097-17104.</mixed-citation>
     <mixed-citation xml:lang="en">Lee D.-H., Lysak R.L. Magnetospheric ULF wave coupling in the dipole model: the impulsive excitation. J. Geophys. Res. 1989, vol. 94, pp. 17097-17104.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leonovich A.S., Mazur V.A. Standing Alfven waves with m&amp;#62;&amp;#62;1 in axisymmetric magnetosphere excited by a non-stationary source. Annales Geophysicae. 1998, vol. 16, pp. 914-920.</mixed-citation>
     <mixed-citation xml:lang="en">Leonovich A.S., Mazur V.A. Standing Alfven waves with m&amp;#62;&amp;#62;1 in axisymmetric magnetosphere excited by a non-stationary source. Annales Geophysicae. 1998, vol. 16, pp. 914-920.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leonovich A.S., Mazur V.A. Structure of magnetosonic eigenoscillations of an axisymmetric magnetosphere. J. Geophys. Res. 2000, vol. 105, pp. 27707-27716.</mixed-citation>
     <mixed-citation xml:lang="en">Leonovich A.S., Mazur V.A. Structure of magnetosonic eigenoscillations of an axisymmetric magnetosphere. J. Geophys. Res. 2000, vol. 105, pp. 27707-27716.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leonovich A.S., Kozlov D.A., Pilipenko V.A. Magnetosonic resonance in a dipole-like magnetosphere. Annales Geophysicae. 2006, vol. 24, pp. 2277-2289.</mixed-citation>
     <mixed-citation xml:lang="en">Leonovich A.S., Kozlov D.A., Pilipenko V.A. Magnetosonic resonance in a dipole-like magnetosphere. Annales Geophysicae. 2006, vol. 24, pp. 2277-2289.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pilipenko V., Vellante M., Fedorov E. Distortion of the ULF wave spatial structure upon transmission through the ionosphere. J. Geophys. Res. 2000, vol. 105, pp. 21225-21236.</mixed-citation>
     <mixed-citation xml:lang="en">Pilipenko V., Vellante M., Fedorov E. Distortion of the ULF wave spatial structure upon transmission through the ionosphere. J. Geophys. Res. 2000, vol. 105, pp. 21225-21236.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pilipenko V., Belakhovsky V., Kozlovsky A., et al. Determination of the wave mode contribution into the ULF pulsations from combined radar and magnetometer data: Method of apparent impedance. J. Atm. Solar-Terr. Phys. 2012, vol. 77, pp. 85-95.</mixed-citation>
     <mixed-citation xml:lang="en">Pilipenko V., Belakhovsky V., Kozlovsky A., et al. Determination of the wave mode contribution into the ULF pulsations from combined radar and magnetometer data: Method of apparent impedance. J. Atm. Solar-Terr. Phys. 2012, vol. 77, pp. 85-95.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ruohoniemi J.M., Greenwald R.A., Baker K.B., Samson J.C. HF radar observations of Pc 5 field line resonances in the midnight/early morning MLT sector. J. Geophys. Res. 1991, vol. 96, pp. 1569715710, DOI: 10.1029/91JA00795.</mixed-citation>
     <mixed-citation xml:lang="en">Ruohoniemi J.M., Greenwald R.A., Baker K.B., Samson J.C. HF radar observations of Pc 5 field line resonances in the midnight/early morning MLT sector. J. Geophys. Res. 1991, vol. 96, pp. 1569715710, DOI: 10.1029/91JA00795.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sciffer M.D., Waters C.L. Propagation of ULF waves through the ionosphere: Analytic solutions for oblique magnetic field. J. Geophys. Res. 2002, vol. 107, 1297. DOI: 10.1029/ 2001JA000184.</mixed-citation>
     <mixed-citation xml:lang="en">Sciffer M.D., Waters C.L. Propagation of ULF waves through the ionosphere: Analytic solutions for oblique magnetic field. J. Geophys. Res. 2002, vol. 107, 1297. DOI: 10.1029/ 2001JA000184.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sciff M.D., Waters, C.L., Menk, F.W. Propagation of ULF waves through the ionosphere: Inductive effect for oblique magnetic field. Annales Geophysicae. 2004, vol. 22, pp. 1155-1169.</mixed-citation>
     <mixed-citation xml:lang="en">Sciff M.D., Waters, C.L., Menk, F.W. Propagation of ULF waves through the ionosphere: Inductive effect for oblique magnetic field. Annales Geophysicae. 2004, vol. 22, pp. 1155-1169.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Southwood D.J. Some features of field line resonances in the magnetosphere. Planet. Space Sci. 1974, vol. 22, pp. 483-491.</mixed-citation>
     <mixed-citation xml:lang="en">Southwood D.J. Some features of field line resonances in the magnetosphere. Planet. Space Sci. 1974, vol. 22, pp. 483-491.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Streltsov A., Lotko W. The fine structure of dispersive, nonradiative field line resonance layers. J. Geophys. Res. 1996, vol. 101, pp. 5343-5358.</mixed-citation>
     <mixed-citation xml:lang="en">Streltsov A., Lotko W. The fine structure of dispersive, nonradiative field line resonance layers. J. Geophys. Res. 1996, vol. 101, pp. 5343-5358.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Tamao T. Transmission and coupling resonance of hydromagnetic disturbances in the non-uniform Earth’s magnetosphere. Science Rep. of the Tohoku Univ. Ser. 5. Geophysics. 1965, pp. 43-72.</mixed-citation>
     <mixed-citation xml:lang="en">Tamao T. Transmission and coupling resonance of hydromagnetic disturbances in the non-uniform Earth’s magnetosphere. Science Rep. of the Tohoku Univ. Ser. 5. Geophysics. 1965, pp. 43-72.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Uspensky M.V., Janhunen P., Koustov A.V., Kauristie K. Volume cross section of auroral radar backscatter and RMS plasma fluctations inferred from coherent and incoherent scatter data: a response on backscatter volume parameters, Ann. Geophys., 2011, vol. 29, pp. 1081-1092.</mixed-citation>
     <mixed-citation xml:lang="en">Uspensky M.V., Janhunen P., Koustov A.V., Kauristie K. Volume cross section of auroral radar backscatter and RMS plasma fluctations inferred from coherent and incoherent scatter data: a response on backscatter volume parameters, Ann. Geophys., 2011, vol. 29, pp. 1081-1092.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B32">
    <label>32.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Walker A.D.M., Greenwald R.A., Stuart W.F., Green, C.A. STARE auroral radar observations of Pc5 geomagnetic pulsations. J. Geophys. Res. 1979, vol. 84, pp. 3373-3388.</mixed-citation>
     <mixed-citation xml:lang="en">Walker A.D.M., Greenwald R.A., Stuart W.F., Green, C.A. STARE auroral radar observations of Pc5 geomagnetic pulsations. J. Geophys. Res. 1979, vol. 84, pp. 3373-3388.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B33">
    <label>33.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Walker A.D.M., Greenwald R.A., Korth A., Kremser G. STARE and GOES 2 observations of a storm time Pc5 ULF pulsation. J. Geophys. Res. 1982, vol. 87, pp. 9135-9146.</mixed-citation>
     <mixed-citation xml:lang="en">Walker A.D.M., Greenwald R.A., Korth A., Kremser G. STARE and GOES 2 observations of a storm time Pc5 ULF pulsation. J. Geophys. Res. 1982, vol. 87, pp. 9135-9146.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B34">
    <label>34.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Waters C.L., Menk F.W., Fraser B.J. The resonant structure of low latitude Pc3 geomagnetic pulsations. Geophys. Res. Lett. 1991, vol. 18, pp. 2293.</mixed-citation>
     <mixed-citation xml:lang="en">Waters C.L., Menk F.W., Fraser B.J. The resonant structure of low latitude Pc3 geomagnetic pulsations. Geophys. Res. Lett. 1991, vol. 18, pp. 2293.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B35">
    <label>35.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Waters C.L., Harrold B.G., Menk F.W., et al. Field line resonances and waveguide modes at low latitudes 2. A model. J. Geophys. Res. 2000, vol. 105, pp. 7763-7774.</mixed-citation>
     <mixed-citation xml:lang="en">Waters C.L., Harrold B.G., Menk F.W., et al. Field line resonances and waveguide modes at low latitudes 2. A model. J. Geophys. Res. 2000, vol. 105, pp. 7763-7774.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B36">
    <label>36.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Waters C.L., Sciffer M.D. Field line resonant frequencies and ionospheric conductance: Results from a 2-D MHD model. J. Geophys. Res. 2008, vol. 113, p. A05219. DOI: 10.1029/ 2007JA012822.</mixed-citation>
     <mixed-citation xml:lang="en">Waters C.L., Sciffer M.D. Field line resonant frequencies and ionospheric conductance: Results from a 2-D MHD model. J. Geophys. Res. 2008, vol. 113, p. A05219. DOI: 10.1029/ 2007JA012822.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B37">
    <label>37.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yagova N., Pilipenko V., Fedorov E., et al. Influence of ionospheric conductivity on mid-latitude Pc3-4 pulsations. Earth, Planets and Space. 1999, vol. 51, pp. 129-138.</mixed-citation>
     <mixed-citation xml:lang="en">Yagova N., Pilipenko V., Fedorov E., et al. Influence of ionospheric conductivity on mid-latitude Pc3-4 pulsations. Earth, Planets and Space. 1999, vol. 51, pp. 129-138.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B38">
    <label>38.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yeoman T.K., Wright D.M., Robinson T.R., et al. High spatial and temporal resolution observations of an impulse-driven field line resonance in radar backscatter artificially generated with the Tromsø heater. Ann. Geophysicae. 1997, vol. 15, pp. 634-644.</mixed-citation>
     <mixed-citation xml:lang="en">Yeoman T.K., Wright D.M., Robinson T.R., et al. High spatial and temporal resolution observations of an impulse-driven field line resonance in radar backscatter artificially generated with the Tromsø heater. Ann. Geophysicae. 1997, vol. 15, pp. 634-644.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B39">
    <label>39.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yeoman T.K., Wright D.M., Chapman P.J., Stockton-Chalk A.B. High-latitude observations of ULF waves with large azimuthal wavenumbers. J. Geophys. Res. 2000, vol. 105, pp. 5453-5462.</mixed-citation>
     <mixed-citation xml:lang="en">Yeoman T.K., Wright D.M., Chapman P.J., Stockton-Chalk A.B. High-latitude observations of ULF waves with large azimuthal wavenumbers. J. Geophys. Res. 2000, vol. 105, pp. 5453-5462.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B40">
    <label>40.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yoshikawa A., Itonaga M. Reflection of shear Alfven waves at the ionosphere and the divergent Hall current. Geophys. Res. Lett. 1996, vol. 23, pp. 101-104.</mixed-citation>
     <mixed-citation xml:lang="en">Yoshikawa A., Itonaga M. Reflection of shear Alfven waves at the ionosphere and the divergent Hall current. Geophys. Res. Lett. 1996, vol. 23, pp. 101-104.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B41">
    <label>41.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yumoto K., Pilipenko V., Fedorov E., et al. The mechanisms of damping of geomagnetic pulsations. J. Geomag. Geoelectr. 1995, vol. 47, pp. 163-176.</mixed-citation>
     <mixed-citation xml:lang="en">Yumoto K., Pilipenko V., Fedorov E., et al. The mechanisms of damping of geomagnetic pulsations. J. Geomag. Geoelectr. 1995, vol. 47, pp. 163-176.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B42">
    <label>42.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ziesolleck C.W.S., McDiarmid D.R. Auroral latitude Pc5 field line resonances: quantized frequencies, spatial characteristics, and diurnal variation. J. Geophys. Res. 1994, vol. 99, pp. 5817-5830.</mixed-citation>
     <mixed-citation xml:lang="en">Ziesolleck C.W.S., McDiarmid D.R. Auroral latitude Pc5 field line resonances: quantized frequencies, spatial characteristics, and diurnal variation. J. Geophys. Res. 1994, vol. 99, pp. 5817-5830.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B43">
    <label>43.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ziesolleck C.W.S., Fenrich F.R., Samson J.C., McDiarmid D.R. Pc5 field line resonance frequencies and structure observed by SuperDARN and CANOPUS. J. Geophys. Res. 1998, vol. 103, pp. 11771-11785.</mixed-citation>
     <mixed-citation xml:lang="en">Ziesolleck C.W.S., Fenrich F.R., Samson J.C., McDiarmid D.R. Pc5 field line resonance frequencies and structure observed by SuperDARN and CANOPUS. J. Geophys. Res. 1998, vol. 103, pp. 11771-11785.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
