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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">10.17586/2220-8054-2021-12-1-73-80</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-378</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>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Photon generation in resonator with time dependent boundary conditions</article-title><trans-title-group xml:lang="ru"><trans-title>Генерация фотонов в резонаторе с зависящими от времени граничными условиями</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>Lobanov</surname><given-names>I. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Lobanov</surname><given-names>I. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101; St. Petersburg, 198504</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101; St. Petersburg, 198504</p></bio><email xlink:type="simple">lobanov.igor@gmail.com</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>Trifanov</surname><given-names>A. I.</given-names></name><name name-style="western" xml:lang="en"><surname>Trifanov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">alextrifanov@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Trifanova</surname><given-names>E. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Trifanova</surname><given-names>E. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">etrifanova@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Popov</surname><given-names>I. Y.</given-names></name><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>I. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">popov1955@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Fedorov</surname><given-names>E.</given-names></name><name name-style="western" xml:lang="en"><surname>Fedorov</surname><given-names>E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">fedevg95@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Pravdin</surname><given-names>K. V.</given-names></name><name name-style="western" xml:lang="en"><surname>Pravdin</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Moskalenko</surname><given-names>M. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Moskalenko</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University; St. Petersburg State University</institution></aff><aff xml:lang="en"><institution>ITMO University; St. Petersburg State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>28</day><month>07</month><year>2025</year></pub-date><volume>12</volume><issue>1</issue><fpage>73</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Lobanov I.S., Trifanov A.I., Trifanova E.S., Popov I.Y., Fedorov E., Pravdin K.V., Moskalenko M.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Lobanov I.S., Trifanov A.I., Trifanova E.S., Popov I.Y., Fedorov E., Pravdin K.V., Moskalenko M.A.</copyright-holder><copyright-holder xml:lang="en">Lobanov I.S., Trifanov A.I., Trifanova E.S., Popov I.Y., Fedorov E., Pravdin K.V., Moskalenko M.A.</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/378">https://nanojournal.ifmo.ru/jour/article/view/378</self-uri><abstract><p>We present a simulation of Casimir field generation in the 1D cavity with moving walls and arbitrary variation of boundary conditions. We design a numerical scheme based on the finite element method and compare photon generation due to variation of the geometry of the cavity and due to perturbation of the boundary conditions.</p></abstract><trans-abstract xml:lang="ru"><p>Мы представляем моделирование генерации поля Казимира в одномерном резонаторе с подвижными стенками и произвольным изменением граничных условий. Мы разрабатываем численную схему на основе метода конечных элементов и сравниваем генерацию фотонов за счет изменения геометрии резонатора и за счет возмущения граничных условий.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>динамический эффект Казимира</kwd><kwd>генерация фотонов</kwd><kwd>численное моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>dynamical Casimir effect</kwd><kwd>photon generation</kwd><kwd>numerical modelling</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The review of quantum non-stationary, multi-mode parametric processes and dynamical Casimir effect in Section 2 was supported by the Ministry of Science and Education of the Russian Federation (Passport No. 2019-0903). Investigation of 1D cavity with moving walls in Section 2 was partially financially supported by grant 20-31-90036 of Russian Foundation for Basic Research. 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