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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="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Journal of Communications Technology and Electronics</journal-id><journal-title-group><journal-title xml:lang="en">Journal of Communications Technology and Electronics</journal-title><trans-title-group xml:lang="ru"><trans-title>Радиотехника и электроника</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0033-8494</issn><issn publication-format="electronic">3034-5901</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">650517</article-id><article-id pub-id-type="doi">10.31857/S0033849423050054</article-id><article-id pub-id-type="edn">UHNRAG</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>ELECTRODYNAMICS AND RADIO WAVE PROPAGATION</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>ЭЛЕКТРОДИНАМИКА И РАСПРОСТРАНЕНИЕ РАДИОВОЛН</subject></subj-group><subj-group subj-group-type="article-type"><subject>Unknown</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Rigorous Electrodynamic Analysis of a Cylindrical Lens Consisting of Hollow Perfectly Conductive Cylinders</article-title><trans-title-group xml:lang="ru"><trans-title>Строгий электродинамический анализ цилиндрической линзы, составленной из полых идеально проводящих цилиндров</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Donets</surname><given-names>I. V.</given-names></name><name xml:lang="ru"><surname>Донец</surname><given-names>И. В.</given-names></name></name-alternatives><email>lerer@sfedu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lerer</surname><given-names>A. M.</given-names></name><name xml:lang="ru"><surname>Лерер</surname><given-names>А. М.</given-names></name></name-alternatives><email>lerer@sfedu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tsvetkovskaya</surname><given-names>S. M.</given-names></name><name xml:lang="ru"><surname>Цветковская</surname><given-names>С. М.</given-names></name></name-alternatives><email>lerer@sfedu.ru</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Southern Federal University</institution></aff><aff><institution xml:lang="ru">Южный федеральный университет</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Don State Technical University</institution></aff><aff><institution xml:lang="ru">Донской государственный технический университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-05-01" publication-format="electronic"><day>01</day><month>05</month><year>2023</year></pub-date><volume>68</volume><issue>5</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>409</fpage><lpage>416</lpage><history><date date-type="received" iso-8601-date="2025-01-31"><day>31</day><month>01</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, И.В. Донец, А.М. Лерер, С.М. Цветковская</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, И.В. Донец, А.М. Лерер, С.М. Цветковская</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">И.В. Донец, А.М. Лерер, С.М. Цветковская</copyright-holder><copyright-holder xml:lang="ru">И.В. Донец, А.М. Лерер, С.М. Цветковская</copyright-holder></permissions><self-uri xlink:href="https://innoscience.ru/0033-8494/article/view/650517">https://innoscience.ru/0033-8494/article/view/650517</self-uri><abstract xml:lang="en"><p>A fast and rigorous method is developed for the electrodynamic analysis of an infinite cylindrical lens made of an artificial material, which is an array of hollow conducting cylinders of finite length and finite wall thickness, identically oriented along the lens axis. It is shown that the method makes it possible to calculate the characteristics of lenses consisting of multiple elements using a personal computer. The focusing properties of the lens are studied. The method is an alternative to and a technique to verify the approach based on the analysis of a lens made of a homogenized material with a refractive index of an infinite 3D photonic crystal.</p></abstract><trans-abstract xml:lang="ru"><p id="idm45181324889072">Разработан быстрый и строгий метод электродинамического анализа бесконечной цилиндрической линзы, выполненной из искусственного материала, представляющего собой массив одинаково ориентированных вдоль оси линзы полых проводящих цилиндров конечной длины с конечной толщиной стенок. Показано, что метод позволяет рассчитывать характеристики линз из большого числа элементов на персональном компьютере. Исследованы фокусирующие свойства линзы. Разработанный метод представляет собой альтернативу и средство проверки подхода, основанного на анализе линзы из гомогенизированного материала с показателем преломления бесконечного трехмерного фотонного кристалла.</p></trans-abstract><kwd-group xml:lang="en"><kwd>infinite cylindrical lens</kwd><kwd>artificial material</kwd><kwd>refractive index</kwd><kwd>photonic crystal</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Банков С.Е. Электромагнитные кристаллы. М.: Физматлит, 2013.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Lewin L. // J. Inst. Electric Engineering. Pt. III: Radio and Commun. Eng. 1947. V. 94. № 27. P. 65. https://doi.org/10.1049/ji-3-2.1947.0013</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Dankov P.I. // Proc. IEEE MTT-S Int. Microwave Workshop Series on Advanced Materials and Processes (IMWS-AMP 2017). Pavia. 20–22 Sept. N.Y.: IEEE, 2017. 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