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<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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">22917</article-id><article-id pub-id-type="doi">10.22363/2658-4670-2019-27-4-355-364</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Mathematical models in Physics</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математические модели в физике</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">The features of the characteristic electromagnetic plasma bunches oscillations in the long magnetic mirror</article-title><trans-title-group xml:lang="ru"><trans-title>Особенности характерных электромагнитных колебаний плазменных сгустков в длинном пробкотроне</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Novitskiy</surname><given-names>Andrey A.</given-names></name><name xml:lang="ru"><surname>Новицкий</surname><given-names>А. А.</given-names></name></name-alternatives><bio xml:lang="en"><p>Head of Laboratory of the Institute of Physical Research and Technologies</p></bio><bio xml:lang="ru"><p>Институт физических исследований и технологий</p></bio><email>novitskiy-aa@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Chuprov</surname><given-names>Denis V.</given-names></name><name xml:lang="ru"><surname>Чупров</surname><given-names>Д. В.</given-names></name></name-alternatives><bio xml:lang="en"><p>Senior Lecturer of the Institute of Physical Research and Technologies</p></bio><bio xml:lang="ru"><p>Институт физических исследований и технологий</p></bio><email>chuprov-dv@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kuznetsov</surname><given-names>Vladislav A.</given-names></name><name xml:lang="ru"><surname>Кузнецов</surname><given-names>В. А.</given-names></name></name-alternatives><bio xml:lang="en"><p>Student of the Institute of Physical Research and Technologies</p></bio><bio xml:lang="ru"><p>Институт физических исследований и технологий</p></bio><email>1032162058@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Shevtsov</surname><given-names>Eugeniy A.</given-names></name><name xml:lang="ru"><surname>Шевцов</surname><given-names>Е. А.</given-names></name></name-alternatives><bio xml:lang="en"><p>Student of the Institute of Physical Research and Technologies</p></bio><bio xml:lang="ru"><p>Институт физических исследований и технологий</p></bio><email>1032162067@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN university)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>27</volume><issue>4</issue><issue-title xml:lang="en">VOL 27, NO4 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 27, №4 (2019)</issue-title><fpage>355</fpage><lpage>364</lpage><history><date date-type="received" iso-8601-date="2020-02-19"><day>19</day><month>02</month><year>2020</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2019, Novitskiy A.A., Chuprov D.V., Kuznetsov V.A., Shevtsov E.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2019, Новицкий А.А., Чупров Д.В., Кузнецов В.А., Шевцов Е.А.</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="en">Novitskiy A.A., Chuprov D.V., Kuznetsov V.A., Shevtsov E.A.</copyright-holder><copyright-holder xml:lang="ru">Новицкий А.А., Чупров Д.В., Кузнецов В.А., Шевцов Е.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/22917">https://journals.rudn.ru/miph/article/view/22917</self-uri><abstract xml:lang="en"><p>The aim of this work was to study the spectrum of LF and HF oscillations generated by plasma bunches created and confined in the volume of a microwave cavity immersed in the magnetic field of a mirror trap. The registration of electrostatic oscillations in the plasma was carried out using two flat electrodes mounted diametrically opposite in the central part of the cavity close to its wall. This diagnostic showed the presence of low-frequency oscillations with frequencies of 130 kHz and 450 kHz. The oscillation spectrum in the microwave range was recorded at the minimum of the magnetic trap using a real-time spectrometer and a loosely coupled loop antenna. The registration of the spectra in the 40 MHz band revealed a regular change in the frequency of the fundamental oscillation mode of the cavity and the presence of two harmonics of the synchrotron radiation of the plasma bunch at frequencies of 2.25 GHz and 4.52 GHz, respectively. According to the obtained data, the parameters of the formed bunch (density, shape, volume, energy spectra of plasma components) can be restored.</p></abstract><trans-abstract xml:lang="ru"><p>Целью данной работы являлось изучение спектра НЧ и ВЧ колебаний генерируемых плазменными сгустками, создаваемыми и удерживаемыми в рабочем объеме высокочастотного резонатора, находящегося в магнитном поле зеркальной ловушки. Регистрация электростатических колебаний в плазме осуществлялось при помощи двух плоских электродов установленных диаметрально противоположно в центральной части резонатора в его пристеночной области. Эта диагностика показала наличие низкочастотных колебаний с частотами 130 кГц и 450 кГц. Спектр колебаний в СВЧ диапазоне регистрировался в минимуме магнитной ловушки при помощи спектрометра реально времени и слабо связанной петлевой антенны. Регистрация спектров в полосе 40 МГц позволила выявить закономерное изменение частоты основной моды колебаний резонатора и наличие двух гармоник синхротронного излучения плазменного сгустка на частотах 2.25 ГГц и 4.52 ГГц соответственно. По полученным данным могут быть восстановлены параметры сформированного сгустка (плотность, форма, объем, энергетические спектры компонент плазмы).</p></trans-abstract><kwd-group xml:lang="en"><kwd>gyromagnetic autoresonance</kwd><kwd>plasma bunches</kwd><kwd>long magnetic mirror trap</kwd><kwd>electrostatic and electromagnetic oscillations</kwd><kwd>spectral analysis</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>гиромагнитный авторезонанс</kwd><kwd>плазменные сгустки</kwd><kwd>протяженный пробкотрон</kwd><kwd>электростатические и электромагнитные колебания</kwd><kwd>спектральный анализ</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The authors appreciate the support of the “RUDN University Program 5-100”, which allowed to prepare the section 2 of the paper. For the results described in the sections 3 and 4, some of us (AAN, DVC) also appreciate the financial support from the Ministry of Education and Science of the Russian Federation (agreement 3.2223.2017.4.6).</funding-statement><funding-statement xml:lang="ru">The authors appreciate the support of the “RUDN University Program 5-100”, which allowed to prepare the section 2 of the paper. For the results described in the sections 3 and 4, some of us (AAN, DVC) also appreciate the financial support from the Ministry of Education and Science of the Russian Federation (agreement 3.2223.2017.4.6).</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>V. V. Andreev, A. A. Novitsky, and A. M. Umnov, “Spectral changes of bremsstrahlung plasma bunch generated under autoresonance in a long mirror,” IOP Conf. Series: Journal of Physics: Conf. Series, vol. 1094, no. 9, p. 012 013, 2018. DOI: 10.1088/1742-6596/1094/1/012013.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>V. V. Andreev, A. A. Novitsky, and D. V. Chuprov, “The Use of Streak Photography, X-Ray Radiography, and Radiometric and Spectrometric Measurements to Study Plasma Bunches Generated under Gyroresonant Interactions,” Physics of Atomic Nuclei, vol. 82, no. 10, pp. 1-10, 2019. DOI: 10.1134/S1063778819100016.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>V. V. Andreev and A. M. Umnov, “Relativistic plasma and electron bunches in plasma synchrotrons of GYRAC,” Plasma Sources Science and Technology, vol. 8, no. 3, pp. 479-487, Jan. 1999. DOI: 10.1088/09630252/8/3/318.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>V. V. Andreev, D. V. Chuprov, V. I. Ilgisonis, A. A. Novitsky, and A. M. Umnov, “Gyromagnetic autoresonance plasma bunches in a magnetic mirror,” Physics of Plasmas, vol. 24, no. 9, p. 093 518, 2017. DOI: 10. 1063/1.4986009.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>R. W. Gould, “Dynamics of Non-Neutral Plasmas,” Physics of plasmas, vol. 2, no. 6, pp. 2151-2163, 1995. DOI: 10.1063/1.871302.</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>S. M. Krivoruchko and E. A. Kornilov, “Excitation of Low-frequency Oscillations and Control of Two-stream Instability Spectra,” JETP Letters, vol. 10, no. 10, pp. 299-301, 1969.</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>T. J. Smith, J. Golden, and C. A. Kapetanakos, “Studies of synchrotron radiation emission from the modified betatron accelerator,” Journal of Applied Physics, vol. 69, no. 10, pp. 6836-6843, 1991. DOI: 10.1063/1. 347673.</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>R. C. Davidson and S. M. Mahajan, “Synchrotron Radiation Spectrum for an Intense Relativistic E-Layer,” Physics of Fluids, vol. 17, pp. 2267- 2274, 1974. DOI: 10.1063/1.1694702.</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>K. P. Kirdyashev, A. I. Bugrova, A. V. Desyatkov, and V. K. Kharchevnikov, “Low-frequency spectra of electron oscillations in an SPD-ATON stationary plasma thruster,” Technical Physics Letters, vol. 35, no. 2, pp. 158-161, 2009. DOI: 10.1134/S1063785009020187.</mixed-citation></ref></ref-list></back></article>
