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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="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">22205</article-id><article-id pub-id-type="doi">10.22363/2658-4670-2019-27-2-143-153</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Modeling and Simulation</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математическое моделирование</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Characteristics of optical filters built on the basis of periodic relief reflective structures</article-title><trans-title-group xml:lang="ru"><trans-title>Характеристики оптических фильтров, построенных на основе периодических рельефных отражающих структур</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Komotskii</surname><given-names>Vladislav A</given-names></name><name xml:lang="ru"><surname>Комоцкий</surname><given-names>Владислав Антонович</given-names></name></name-alternatives><bio xml:lang="en"><p>Professor, Doctor of Technical Sciences, Professor of Institute of Physical Research and Technology</p></bio><email>vkomotskii@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Huaman</surname><given-names>Jose Pauyac</given-names></name><name xml:lang="ru"><surname>Хуаман</surname><given-names>Хосе Пауяк</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Physical and Mathematical Sciences, Intern student of Institute of Physical Research and Technology</p></bio><email>jpauyac@hotmail.com</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Evstigneeva</surname><given-names>Valeriya D</given-names></name><name xml:lang="ru"><surname>Евстигнеева</surname><given-names>Валерия Дмитриевна</given-names></name></name-alternatives><bio xml:lang="en"><p>Student of Institute of Physical Research and Technology</p></bio><email>evstilera@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN university)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Universidad Nacional de Ingenieria</institution></aff><aff><institution xml:lang="ru">Национальный университет Инжиниерии</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>27</volume><issue>2</issue><issue-title xml:lang="en">VOL 27, NO2 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 27, №2 (2019)</issue-title><fpage>143</fpage><lpage>153</lpage><history><date date-type="received" iso-8601-date="2019-11-22"><day>22</day><month>11</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2019, Komotskii V.A., Huaman J.P., Evstigneeva V.D.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2019, Комоцкий В.А., Хуаман Х.П., Евстигнеева В.Д.</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="en">Komotskii V.A., Huaman J.P., Evstigneeva V.D.</copyright-holder><copyright-holder xml:lang="ru">Комоцкий В.А., Хуаман Х.П., Евстигнеева В.Д.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/22205">https://journals.rudn.ru/miph/article/view/22205</self-uri><abstract xml:lang="en"><p>A scheme of a new type optical filter, built using a relief reflective periodic diffraction structure, which has a specific rectangular profile, is proposed. The input radiation beam is directed to the relief structure at a certain angle of incidence. The zero diffraction order beam is our output beam, which is separated from the other diffraction order beams with the help of a diaphragm. The incidence-reflection plane is parallel to the relief lines of the diffraction structure. The dependence of the output beam power on the angle of incidence and on the wavelength of the radiation is investigated. It is shown that the power transfer coefficient from the input to the output of the scheme substantially depends on the wavelength of the optical beam. The scheme can be used as an optical signal filter. The spectral characteristic of this type of filter has an oscillating character. The zero (minimum) values of the power transfer coefficient of radiation from the input to the output of the filter alternate with maximum values close to unity. The spectral characteristic of the filter is easy to change by changing the angle of incidence of the input beam to the relief reflecting structure. Filters of this type can be built for the ultraviolet, visible, and infrared range. Calculations of the dependence of the filter parameters on the relief depth and on the angle of incidence of the input optical beam to the relief structure are presented.</p></abstract><trans-abstract xml:lang="ru"><p>Предложена схема оптического фильтра нового типа, построенного с использованием рельефной отражательной периодической дифракционной структуры, имеющей специфический прямоугольный профиль. Входной луч излучения направляется на рельефную структуру под определенным углом падения. Луч нулевого дифракционного порядка - это наш выходной луч, который отделен от других лучей дифракционного порядка с помощью диафрагмы. Плоскость отражения-падения параллельна рельефным линиям дифракционной структуры. Исследована зависимость мощности выходного пучка от угла падения и длины волны излучения. Показано, что коэффициент передачи мощности от входа к выходу схемы существенно зависит от длины волны оптического луча. Схема может быть использована в качестве фильтра оптического сигнала. Спектральная характеристика фильтра этого типа имеет колебательный характер. Нулевые (минимальные) значения коэффициента передачи мощности излучения от входа к выходу фильтра чередуются с максимальными значениями, близкими к единице. Спектральную характеристику фильтра легко изменить, изменив угол падения входного луча на рельефную отражающую структуру. Фильтры этого типа могут быть построены для ультрафиолетового, видимого и инфракрасного диапазона. Представлены расчеты зависимости параметров фильтра от глубины рельефа и угла падения входного оптического пучка на структуру рельефа.</p></trans-abstract><kwd-group xml:lang="en"><kwd>filtering of the optical spectrum</kwd><kwd>diffraction structure</kwd><kwd>rearrangement of the spectral characteristics of the filter</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>фильтрация оптического спектра, дифракционная структура, перестройка спектральных характеристик фильтра</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>V. V. Lebedeva, Experimental optics [Eksperimental’naya optika], 3rd Edition, Publishing House of Moscow University, Moscow, 1994, in Russian.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>V. I. Puchkov, E. A. Iosep, G. T. Petrovsky, L. S. Iutinskaya, A. P. Ivanova, V. Smirnova, S. P. Lunkin, Coloured optical glass. 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