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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-1493</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>АННОТАЦИИ АНГЛОЯЗЫЧНЫХ СТАТЕЙ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ABSTRACTS ENGLISH-LANGUAGE ARTICLES</subject></subj-group></article-categories><title-group><article-title>Ускорение электронов при воздействии частотного чирпа лазерного импульса с огибающей cos2 и аксиального магнитного поля</article-title><trans-title-group xml:lang="en"><trans-title>Influence of Frequency Chirp and Axial Magnetic Field on Electron Acceleration by Employing cos2 Laser Pulse Envelope in Vacuum</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Pramanik</surname><given-names>A.K.</given-names></name><name name-style="western" xml:lang="en"><surname>Pramanik</surname><given-names>A.K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пенджаб</p></bio><bio xml:lang="en"><p>Department of Physics, </p><p>Phagwara</p></bio><email xlink:type="simple">jyoti_physics@yahoo.co.in</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Rajput</surname><given-names>J.</given-names></name><name name-style="western" xml:lang="en"><surname>Rajput</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Пенджаб</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет Пхагвары</institution></aff><aff xml:lang="en"><institution>Lovely Professional University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>14</day><month>02</month><year>2024</year></pub-date><volume>91</volume><issue>1</issue><fpage>165</fpage><lpage>165</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Pramanik A., Rajput J., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Pramanik A., Rajput J.</copyright-holder><copyright-holder xml:lang="en">Pramanik A., Rajput J.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://zhps.ejournal.by/jour/article/view/1493">https://zhps.ejournal.by/jour/article/view/1493</self-uri><abstract><p>Внешнее магнитное поле с огибающей импульса cos2 -лазера с чирпированием частоты использовано для эффективного ускорения электронов. После взаимодействия электрона с лазерным импульсом частотный чирп влияет на динамику электрона, бетатронный резонанс и обеспечивает эффективное ускорение электрона со значительным выигрышем в энергии порядка ГэВ. Если приложить подходящее внешнее магнитное поле, то электрон может получить энергию и ее сохранить. Изучено влияние огибающей лазерного импульса cos2 на ускорение электронов в вакууме. Передняя часть тестируемых огибающих получает аксиальную инжекцию электронов. Предположено, что передняя часть каждого импульса встречает электрон в момент времени t = 0 в исходном положении. Релятивистские уравнения Ньютона—Лоренца движения электронов в поле лазерного импульса решены аналитически и численно.</p></abstract><trans-abstract xml:lang="en"><p>Employment of an external magnetic field on a frequency-chirped cos2 laser pulse envelope for effective electron acceleration is studied. After the electron interacts with the laser pulse, the frequency chirp influences the electron dynamics, betatron resonance, and energy gain of the electron, ensuring effective acceleration of the electron with significant energy gain in the order of GeV. If a suitable external magnetic field is applied, an electron can gain energy and retain the same energy significantly. In this research, we employed the cos2 laser pulse envelope to examine the impact of the laser pulse envelope on the investigation of electron acceleration in a vacuum. The front of the tested envelopes had received an axial injection of electrons. In all calculations, it is assumed that the front end of each pulse met the electron at time t = 0 at the position of origin. The relativistic Newton–Lorentz equations of electron motion in the field of the laser pulse have been solved analytically and numerically.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ускорение электронов</kwd><kwd>вакуум</kwd><kwd>огибающая лазерного импульса</kwd><kwd>частота</kwd><kwd>осевое магнитное поле</kwd><kwd>поляризация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>electron acceleration</kwd><kwd>vacuum</kwd><kwd>laser pulse envelope</kwd><kwd>frequency chirp</kwd><kwd>axial magnetic field</kwd><kwd>polarization</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">P. Sprangle, G. Joyce, E. Esarey, A. Ting, AIP Conf. Proc., 175, 231–239 (1988).</mixed-citation><mixed-citation xml:lang="en">P. Sprangle, G. Joyce, E. Esarey, A. Ting, AIP Conf. 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