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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">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-1388</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>АТОМНАЯ СПЕКТРОСКОПИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ATOMIC SPECTROSCOPY</subject></subj-group></article-categories><title-group><article-title>Двухзонная модель лазерно-индуцированной плазмы</article-title><trans-title-group xml:lang="en"><trans-title>Two-Zone Model of Laser-Induced Plasma</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>Зайцев</surname><given-names>С. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaytsev</surname><given-names>S. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Крылов</surname><given-names>И. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Krylov</surname><given-names>I. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Попов</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лабутин</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Labutin</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">timurla@laser.chem.msu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет имени М. В. Ломоносова</institution></aff><aff xml:lang="en"><institution>Lomonosov Moscow State University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>23</day><month>11</month><year>2023</year></pub-date><volume>90</volume><issue>6</issue><fpage>819</fpage><lpage>826</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Зайцев С.М., Крылов И.Н., Попов А.М., Лабутин Т.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Зайцев С.М., Крылов И.Н., Попов А.М., Лабутин Т.А.</copyright-holder><copyright-holder xml:lang="en">Zaytsev S.M., Krylov I.N., Popov A.M., Labutin T.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://zhps.ejournal.by/jour/article/view/1388">https://zhps.ejournal.by/jour/article/view/1388</self-uri><abstract><p>Реализован алгоритм моделирования плазмы в приближении двухзонного источника и его сопряжение с библиотекой NLopt для проведения многопараметрической оптимизации. Для совместной работы алгоритма моделирования спектров и библиотеки NLopt реализована прослойка абстракции, выполняющая инициализацию обеих библиотек в одно действие, рассчитывающая функцию потерь заданного вида и передачу ее значения алгоритму оптимизации. Корректность совместной работы этих алгоритмов проверена на модельных данных: достигается сходимость к значениям параметров плазмы, использованных для получения тестового синтетического спектра. Алгоритм CRS2-LM позволяет добиться самой быстрой сходимости к исходному спектру, поэтому его применяли для аппроксимации экспериментальных спектров. Показано, что использование двухзонной модели позволяет корректно описывать как ионные, так и атомные линии, в том числе подверженные самообращению при испарении алюминиевых сплавов, при этом методы “слепой” оптимизации функции потерь пригодны для оценки температуры и электронной плотности в лазерноиндуцированной плазме по ее спектрам.</p></abstract><trans-abstract xml:lang="en"><p>A plasma modeling algorithm using a two-zone light source approximation has been developed and coupled with the NLopt library for multiparametric optimization. An abstraction layer was created to streamline the initialization of both libraries in a single step, to calculate a loss function of the specified type, and to convey its value to the optimization algorithm. The proper functioning of these combined algorithms was confirmed with model data, demonstrating convergence to the plasma parameters that were used to generate a test synthetic spectrum. The CRS2-LM algorithm enables the fastest convergence to the original spectrum; hence, it has been utilized for the approximation of experimental spectra. It has been demonstrated that the application of a two-zone model provides an accurate description of both ionic and atomic lines, including those that are self-reversed during the evaporation of aluminum alloys. Furthermore, “blind” optimization methods for the loss function are effective for determining temperature and electron density in laser-induced plasma from its spectra.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>лазерно-искровая эмиссионная спектроскопия</kwd><kwd>моделирование плазмы</kwd><kwd>стохастическая оптимизация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>laser-induced breakdown</kwd><kwd>plasma modeling</kwd><kwd>stochastic optimization</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке гранта Президента РФ № МК-5513.2021.6</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">C. Fabre, S. Maurice, A. Cousin, R. C. Wiens, O. Forni, V. Sautter, D. Guillaume. Spectrochim. Acta B, 66 (2011) 280—289</mixed-citation><mixed-citation xml:lang="en">C. Fabre, S. Maurice, A. Cousin, R. C. 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