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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">vdgtu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Дагестанского государственного технического университета. Технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of Dagestan State Technical University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6185</issn><issn pub-type="epub">2542-095X</issn><publisher><publisher-name>Daghestan State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21822/2073-6185-2022-49-1-49-58</article-id><article-id custom-type="elpub" pub-id-type="custom">vdgtu-1039</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>ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И ТЕЛЕКОММУНИКАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INFORMATION TECHNOLOGY AND TELECOMMUNICATIONS</subject></subj-group></article-categories><title-group><article-title>Исследование зависимостей антенны Вивальди с двумя радиусами кривых в программном комплексе электродинамического моделирования</article-title><trans-title-group xml:lang="en"><trans-title>Investigation of the dependences of the Vivaldi antenna with two curve radii in the electrodynamic modeling software package</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>Ибрагимов</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Ibragimov</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ибрагимов Султансаид Абдуллагаджиевич, аспирант, кафедра программного обеспечения вычислительной техники и автоматизированных систем</p><p>367026, г. Махачкала, пр. И.Шамиля,70</p></bio><bio xml:lang="en"><p>Syltansaid A. Ibragimov, Postgraduate student, Department of Software for Computer Engineering and Automated Systems</p><p>70 I. Shamilya Ave., Makhachkala 367026</p></bio><email xlink:type="simple">sult_992@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Дагестанский государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Daghestan State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>20</day><month>05</month><year>2022</year></pub-date><volume>49</volume><issue>1</issue><fpage>49</fpage><lpage>58</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ибрагимов С.А., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Ибрагимов С.А.</copyright-holder><copyright-holder xml:lang="en">Ibragimov S.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://vestnik.dgtu.ru/jour/article/view/1039">https://vestnik.dgtu.ru/jour/article/view/1039</self-uri><abstract><sec><title>Цель</title><p>Цель. Целью исследования является построение и оптимизация компьютерной модели антенны с помощью программных комплексов электродинамического моделирования.</p></sec><sec><title>Метод</title><p>Метод. Исследование основано на методах динамического моделирования.</p></sec><sec><title>Результат</title><p>Результат. В работе получены зависимости ширины диаграммы направленности от кривой антенны Вивальди с зеркальным расположением лепестков. Построены графики зависимости радиусов кривых лепестков и величин раскрыва от ширины диаграммы направленности в двух плоскостях для частот 3 и 24 ГГц. Построены графики зависимости радиуса кривой, раскрыва антенны и нижней высоты антенны от максимального значения ширины диаграммы направленности для частоты 24 ГГц и минимального значения ширины диаграммы направленности для частоты 3 ГГц. Проведена аппроксимация полученных зависимостей для двух плоскостей θ = 900 (плоскость раскрыва антенны) и φ = 0 0 (плоскость перпендикулярная плоскости раскрыва антенны). Путем регрессионного анализа получены аналитические описания и графики зависимостей максимальной ширины диаграммы направленности для 24 ГГц и минимальной ширины диаграммы направленности для 3 ГГц, от радиусов кривых, раскрыва и высоты расположения нижней кривой лепестка антенны.</p></sec><sec><title>Вывод</title><p>Вывод. Полученная математическая модель дает возможность получить значения радиуса кривой, раскрыва и нижней высоты лепестков антенны для различных частот, в итоге, построить антенну Вивальди с нужной топологией.</p></sec><sec><title> </title><p> </p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Objective</title><p>Objective. The aim of the study is to build and optimize a computer model of the antenna using software packages for electrodynamic modeling.</p></sec><sec><title>Method</title><p>Method. The study is based on dynamic modeling methods.</p></sec><sec><title>Result</title><p>Result. In this paper, the dependences of the width of the radiation pattern on the curved Vivaldi antenna with a mirror arrangement of the petals are obtained. Graphs of the dependence of the radii of curved petals and aperture values on the width of the radiation pattern in two planes for frequencies of 3 and 24 GHz are plotted. Curve radius, antenna aperture and lower antenna height are plotted as functions of the maximum beamwidth for 24 GHz and the minimum beamwidth for 3 GHz. The obtained dependencies were approximated for two planes θ = 900 (antenna aperture plane) and φ = 00 (plane perpendicular to the antenna aperture plane). By means of regression analy sis, analytical descriptions and graphs of dependences of the maximum beamwidth for 24 GHz and the minimum beamwidth for 3 GHz, on the radii of the curves, aperture and the height of the lower curve of the antenna lobe were obtained.</p></sec><sec><title>Conclusion</title><p>Conclusion. The resulting mathematical model makes it possible to obtain the values of the radius of the curve, the opening and the lower height of the antenna lobes for different frequencies, as a result, to build a Vivaldi antenna with the desired topology.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>антенна Вивальди</kwd><kwd>радиус кривой</kwd><kwd>лепесток</kwd><kwd>аппроксимация</kwd><kwd>математическая модель</kwd><kwd>уравнение</kwd><kwd>диаграмма направленности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Vivaldi antenna</kwd><kwd>curvature</kwd><kwd>petal</kwd><kwd>approximation</kwd><kwd>mathematical model</kwd><kwd>equation</kwd><kwd>radiation pattern</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">C. Fairclough. Анализ конструкции антенны Вивальди [Электронный ресурс].2015 г. Режим доступа: https://www.comsol.ru/blogs/vivaldi-antenna-design-analysis/. 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