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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">tuzsut</journal-id><journal-title-group><journal-title xml:lang="ru">Труды учебных заведений связи</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of Telecommunication Universities</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1813-324X</issn><issn pub-type="epub">2712-8830</issn><publisher><publisher-name>СПбГУТ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.31854/1813-324X-2025-11-2-49-55</article-id><article-id custom-type="edn" pub-id-type="custom">YRLSIN</article-id><article-id custom-type="elpub" pub-id-type="custom">tuzsut-669</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>ЭЛЕКТРОНИКА, ФОТОНИКА, ПРИБОРОСТРОЕНИЕ И СВЯЗЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, PHOTONICS, INSTRUMENTATION AND COMMUNICATIONS</subject></subj-group></article-categories><title-group><article-title>Оптимальный выбор диаметра лазерного луча  в атмосферных сетях связи распределенного  и мобильного типа</article-title><trans-title-group xml:lang="en"><trans-title>Optimal Choice of Laser Beam Diameter  in Atmospheric Communication Networks  of Distributed and Mobile Type</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-5355-0493</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маммадов</surname><given-names>А.М.</given-names></name><name name-style="western" xml:lang="en"><surname>Mammadov</surname><given-names>A.M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>преподаватель кафедры цифровой коммуникаций и прикладной информатики Азербайджанского государственного экономического университета</p></bio><email xlink:type="simple">aflatunmasimoglu@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Азербайджанский государственный экономический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Azerbaijan State Economic University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>07</day><month>05</month><year>2025</year></pub-date><volume>11</volume><issue>2</issue><fpage>49</fpage><lpage>55</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Маммадов А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Маммадов А.</copyright-holder><copyright-holder xml:lang="en">Mammadov 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://tuzs.sut.ru/jour/article/view/669">https://tuzs.sut.ru/jour/article/view/669</self-uri><abstract><sec><title>Актуальность</title><p>Актуальность. Стремительное развитие технологии интернета вещей привело к экспоненциальному росту количества различных интеллектуальных технических средств, присоединяемых к интернету, что, в свою очередь, способствовало появлению большого объема данных, подлежащих передаче по системам связи. Электромагнитные сети связи обладают недостаточным потенциалом для решения данной задачи, наиболее эффективными здесь оказываются оптические системы передачи информации по атмосферным каналам. Однако оптические атмосферные системы связи подвержены влиянию атмосферных факторов, т. к. из-за поглощения, рассеяния и дифракции лазерный луч ослабляется по мощности и подвергается уширению. В исследуемой предметной области известны работы, посвященные расходимости луча, где рассматривается вопрос зависимости величины максимальной расходимости луча от таких показателей, как мощность лазерного источника, геометрическая длина канала, длина волны оптической радиации. Вместе с тем, в указанных работах рассматривается один канал лазерной сети связи, а вопрос о выборе диаметра лазерного луча во всех каналах лазерной многоканальной атмосферной сети не обсуждается. </p></sec><sec><title>Цель</title><p>Цель. Сформулирована задача оптимального выбора диаметра лазерного пучка в многоканальной системе атмосферной оптической связи распределенного типа с учетом расходимости луча. В отличие от известных работ, в которых решается задача оптимизации с учетом влияния расходимости луча, решение поставленной цели охватывает как стационарные, так и мобильные варианты реализации каналов сети всей многоканальной системы. Решение поставленной задачи осуществлено путем формирования единого целевого функционала и дальнейшей оптимизации для выявления оптимальной взаимосвязи между величиной радиуса луча на входе приемника канала и радиусом луча на выходе излучателя при подаче на рассматриваемый атмосферный канал с учетом возможности его уширения. Показано, что такое расширение диаметра лазерного луча по выявленному оптимальному закону позволяет достичь максимума средней величины интенсивности лазерного луча, переданного по атмосферному каналу ко всем приемникам системы. Проведенные модельные исследования предложенной методики учета уширения диаметра луча подтвердили возможность получения оптимального соотношения между основными показателями многоканальной лазерной атмосферной сети. </p></sec><sec><title>Научная новизна</title><p>Научная новизна. Разработана математическая модель оптимизации выбора диаметра луча в многоканальной лазерной атмосферной сети. </p><p>Теоретическая и практическая значимость. Оптимизация предложенной модели позволила получить рациональное соотношение между основным показателями многоканальной лазерной атмосферной сети распределенного типа, что может найти применение при построении подобных систем.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Relevance</title><p>Relevance. The rapid development of the Internet of Things technology has led to an exponential increase in the number of different intelligent hardware connected to the Internet, which, in turn, has contributed to the emergence of a large amount of data to be transmitted over communication systems. Electromagnetic communication networks have insufficient potential to solve this problem, and optical information transmission systems via atmospheric channels are one of the real options for solving this problem. However, optical atmospheric communication systems are subject to the influence of atmospheric factors, i.e. due to absorption, scattering, and diffraction, the laser beam is weakened in power and broadens. In well-known works on the divergence of the beam, the question of the dependence of the maximum divergence of the beam on such indicators as the power of the laser source, the geometric length of the channel, and the wavelength of optical radiation is investigated. At the same time, in these works, one channel of the laser communication network is considered, and the question of choosing the diameter of the laser beam in all channels of the laser multichannel atmospheric network is not discussed. </p></sec><sec><title>Purpose</title><p>Purpose. The problem of optimal choice of the diameter of a laser beam in a multichannel atmospheric optical communication system of a distributed type is formulated, taking into account the divergence of the beam. </p><p>The essence of the proposed solution, unlike well-known works that solve the optimization problem taking into account the influence of beam divergence, the solution to this goal covers both stationary and mobile versions of the network channels of the entire multichannel system. The task was solved by forming a single target functional and further optimizing it in order to identify the optimal relationship between the radius of the beam at the input of the channel receiver and the radius of the beam at the output of the radiator when applied to the atmospheric channel under consideration, taking into account the possibility of its broadening. It is shown that such an expansion of the diameter of the laser beam, according to the optimal law identified, makes it possible to achieve a maximum of the average intensity of the laser beam transmitted through the atmospheric channel to all receivers of the system. The conducted model studies of the proposed method for accounting for beam diameter broadening confirmed the possibility of obtaining an optimal ratio between the main indicators of a multichannel laser atmospheric network. </p></sec><sec><title>Scientific novelty</title><p>Scientific novelty. A mathematical model for optimizing the choice of beam diameter in a multichannel laser atmospheric network has been developed. </p><p>Theoretical and practical significance. Optimization of the proposed model made it possible to obtain an optimal ratio between the main indicators of a multi-channel laser atmospheric network of a distributed type, which can be used in the construction of such systems. </p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>оптимизация</kwd><kwd>расходимость луча</kwd><kwd>моделирование</kwd><kwd>атмосферная связь</kwd><kwd>интенсивность луча</kwd></kwd-group><kwd-group xml:lang="en"><kwd>optimization</kwd><kwd>beam divergence</kwd><kwd>modeling</kwd><kwd>atmospheric coupling</kwd><kwd>beam intensity</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">Masud M., Gaba G.S., Choudhary K., Alroobaea R., Hossain M.S. 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