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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">pribor</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Приборостроение</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of Instrument Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3454</issn><issn pub-type="epub">2500-0381</issn><publisher><publisher-name>Национальный исследовательский университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/0021-3454-2026-69-8-722-730</article-id><article-id custom-type="elpub" pub-id-type="custom">pribor-585</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>ОПТИЧЕСКИЕ И ОПТИКО-ЭЛЕКТРОННЫЕ ПРИБОРЫ И КОМПЛЕКСЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>OPTICAL AND OPTOELECTRONIC DEVICES AND COMPLEXES</subject></subj-group></article-categories><title-group><article-title>Расчет проекционной оптической системы для экстремальной ультрафиолетовой литографии</article-title><trans-title-group xml:lang="en"><trans-title>Calculation of a Projection Optical System for Extreme Ultraviolet Lithography</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>Шань</surname><given-names>Гао</given-names></name><name name-style="western" xml:lang="en"><surname>Shan</surname><given-names>Gao</given-names></name></name-alternatives><bio xml:lang="ru"><p>Гао Шань - аспирант; Высшая инженерно-техническая школа</p><p>Санкт-Петербург</p></bio><bio xml:lang="en"><p>Gao Shan - Post-Graduate Student; Higher Engineering and Technical School</p><p>St. Petersburg</p></bio><email xlink:type="simple">gao090996@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>Цыганок</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Tsyganok</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Елена Анатольевна Цыганок -  канд. техн. наук; Высшая инженерно-техническая школа; доцент</p><p>Санкт-Петербург</p></bio><bio xml:lang="en"><p> Elena A. Tsyganok - PhD; Higher Engineering and Technical School; Associate Professor</p><p>St. Petersburg</p></bio><email xlink:type="simple">eatcyganok@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>06</day><month>09</month><year>2026</year></pub-date><volume>69</volume><issue>8</issue><fpage>722</fpage><lpage>730</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Национальный исследовательский университет ИТМО, 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Национальный исследовательский университет ИТМО</copyright-holder><copyright-holder xml:lang="en">Национальный исследовательский университет ИТМО</copyright-holder><license xlink:href="https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://pribor.ifmo.ru/jour/article/view/585">https://pribor.ifmo.ru/jour/article/view/585</self-uri><abstract><p>Представлены метод проектирования оптических систем путем разделения их на отдельные группы (фронтальную, среднюю и финальную) с дальнейшим их независимым расчетом и последующим сопряжением, и программа визуализации начальной структуры проекционной системы для экстремальной ультрафиолетовой литографии. Проекционная система разделяется на три группы, и в соответствии с характеристиками оптической системы определяются условия для расчета структуры каждой группы. Параметры зеркал каждой группы рассчитываются отдельно. Затем группы объединяются по правилам сопряжения изображений и зрачков для получения начальной структуры зеркальной оптической системы без экранирования. С целью визуализации процесса проектирования используются высокоуровневый язык программирования MatLab и программное обеспечение для оптического проектирования Code V, чтобы совместить процесс вычисления с поиском и выбором решения. Процесс расчета и поиска интуитивно управляем и быстр, что позволяет получить большое количество альтернативных вариантов начальных структур за короткий промежуток времени.</p></abstract><trans-abstract xml:lang="en"><p>A method for designing optical systems by dividing them into separate groups (frontal, intermediate, and final) with subsequent independent calculation and subsequent coupling, as well as a program for visualizing the initial structure of a projection system for extreme ultraviolet lithography, are presented. The projection system is divided into three groups, and, in accordance with the characteristics of the optical system, the conditions for calculating the structure of each of these groups are determined. The parameters of the mirrors in each group are calculated separately. Then the groups are combined according to the rules for conjugating images and pupils to obtain the initial structure of a mirror optical system without shielding. To visualize the design process, the highlevel programming language MatLab and the optical design software Code V are used to combine the calculation process with the search and selection of a solution. The calculation and search process is intuitively controlled and fast, which makes it possible to obtain a large number of alternative options for initial structures in a short period of time.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>проекционная система</kwd><kwd>экстремальная ультрафиолетовая литография</kwd><kwd>проектирование оптических систем</kwd><kwd>зеркальные системы</kwd><kwd>проектирование по группам</kwd></kwd-group><kwd-group xml:lang="en"><kwd>projection system</kwd><kwd>extreme ultraviolet lithography</kwd><kwd>optical system design</kwd><kwd>mirror systems</kwd><kwd>groupbased design</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">Nicolosi P., Patelli A., Pelizzo M. G. et al. First realization and characterization of multilayer EUV reflective coatings // Soft X-Ray and EUV Imaging Systems II. SPIE, 2001. Vol. 4506. 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