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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">8826</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</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">Laser Acceleration of Channeled Light Particles in Periodically Modulated Crystal</article-title><trans-title-group xml:lang="ru"><trans-title>Лазерное ускорение легких частиц, каналированных в периодически модулированных кристаллах</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Serov</surname><given-names>V V</given-names></name><name xml:lang="ru"><surname>Серов</surname><given-names>Владислав Викторович</given-names></name></name-alternatives><bio xml:lang="en">Chair of Theoretical Physics</bio><bio xml:lang="ru">Кафедра теоретической физики</bio><email>-</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Sergeeva</surname><given-names>T A</given-names></name><name xml:lang="ru"><surname>Сергеева</surname><given-names>Татьяна Алексеевна</given-names></name></name-alternatives><bio xml:lang="en">Chair of Theoretical Physics</bio><bio xml:lang="ru">Кафедра теоретической физики</bio><email>sergeeva@info.sgu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Saratov State University</institution></aff><aff><institution xml:lang="ru">Саратовский государственный университет им. Н.Г. Чернышевского</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2012-04-15" publication-format="electronic"><day>15</day><month>04</month><year>2012</year></pub-date><issue>4</issue><issue-title xml:lang="en">NO4 (2012)</issue-title><issue-title xml:lang="ru">№4 (2012)</issue-title><fpage>53</fpage><lpage>67</lpage><history><date date-type="received" iso-8601-date="2016-09-08"><day>08</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2012, Серов В.В., Сергеева Т.А.</copyright-statement><copyright-year>2012</copyright-year><copyright-holder xml:lang="ru">Серов В.В., Сергеева Т.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/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/8826">https://journals.rudn.ru/miph/article/view/8826</self-uri><abstract xml:lang="en">An approach for the laser acceleration of the charged particles channeled in a periodically bent crystal have been investigated under the accounting for the transverse energy leveles quantization.</abstract><trans-abstract xml:lang="ru">Рассмотрен метод лазерного ускорения заряженных частиц, каналированных в периодически искривлённых кристаллах, с учётом дискретности уровней поперечных энергий.</trans-abstract><kwd-group xml:lang="en"><kwd>channeling</kwd><kwd>laser acceleration</kwd><kwd>metacrystallic structures</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>каналирование</kwd><kwd>лазерное ускорение</kwd><kwd>метакристаллические структуры</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Carrigan R. 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