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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2015-6-2-262-267</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-930</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="en"><subject>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group></article-categories><title-group><article-title>Particle dynamics in corrugated rectangular billiard</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Akhmadjanov</surname><given-names>T.</given-names></name></name-alternatives><bio xml:lang="en"><p>Faculty of Physics, Department of Optics and laser physics</p><p>Tashkent</p></bio><email xlink:type="simple">t_akhmadjanov@rambler.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Rakhimov</surname><given-names>E.</given-names></name></name-alternatives><bio xml:lang="en"><p>Faculty of Physics, Department of Optics and laser physics</p><p>Tashkent</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Otajanov</surname><given-names>D.</given-names></name></name-alternatives><bio xml:lang="en"><p>Faculty of Physics, Department of Optics and laser physics</p><p>Tashkent</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>National University of Uzbekistan</institution><country>Uzbekistan</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>14</day><month>08</month><year>2025</year></pub-date><volume>6</volume><issue>2</issue><fpage>262</fpage><lpage>267</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Akhmadjanov T., Rakhimov E., Otajanov D., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Akhmadjanov T., Rakhimov E., Otajanov D.</copyright-holder><copyright-holder xml:lang="en">Akhmadjanov T., Rakhimov E., Otajanov D.</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://nanojournal.ifmo.ru/jour/article/view/930">https://nanojournal.ifmo.ru/jour/article/view/930</self-uri><abstract><p>The particle dynamics in one side corrugated rectangular billiard system is investigated with the help of numerical analysis. The dependence of chaotic behavior in particle dynamics on the corrugation height h is shown. The focusing mechanism of the corrugated billiard is investigated by analyzing the dependence of the total path on particle incident angle.</p></abstract><kwd-group xml:lang="en"><kwd>optical fiber</kwd><kwd>chaos</kwd><kwd>ray dynamics</kwd><kwd>corrugated waveguide</kwd><kwd>Fermi acceleration</kwd><kwd>billiards</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">Birkhoff G.D. Dynamical Systems. Amer. Math. Soc. Colloquium Publ. 9. Providence: American Mathematical Society, 1927.</mixed-citation><mixed-citation xml:lang="en">Birkhoff G.D. Dynamical Systems. Amer. Math. Soc. Colloquium Publ. 9. 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