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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">pimi</journal-id><journal-title-group><journal-title xml:lang="ru">Приборы и методы измерений</journal-title><trans-title-group xml:lang="en"><trans-title>Devices and Methods of Measurements</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-9506</issn><issn pub-type="epub">2414-0473</issn><publisher><publisher-name>BNTU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2220-9506-2025-16-2-140-146</article-id><article-id custom-type="elpub" pub-id-type="custom">pimi-960</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>Методы измерений, контроля, диагностики</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Methods of measurements, monitoring, diagnostics</subject></subj-group></article-categories><title-group><article-title>Моделирование методом Монте-Карло фотоотклика в кремниевых фотодиодах с p-n-переходом и p-i-n-структурой</article-title><trans-title-group xml:lang="en"><trans-title>Monte Carlo Simulation of Photoresponse in Silicon Photodiodes with p-n-Junction and p-i-n-Structure</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>Борздов</surname><given-names>А. B.</given-names></name><name name-style="western" xml:lang="en"><surname>Borzdov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>пр-т Независимости, 4, г. Минск 220030</p></bio><bio xml:lang="en"><p>Nezavisimosty Ave., 4, Minsk 220030</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>Борздов</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Borzdov</surname><given-names>V. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Адрес для переписки: Борздов В.М. -Белорусский государственный университет,пр-т Независимости, 4, г. Минск 220030, Беларусь e-mail: borzdov@bsu.by</p></bio><bio xml:lang="en"><p>Nezavisimosty Ave., 4, Minsk 220030</p></bio><email xlink:type="simple">borzdov@bsu.by</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>Буйновский</surname><given-names>Д. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Buinouski</surname><given-names>D. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>пр-т Независимости, 4, г. Минск 220030</p></bio><bio xml:lang="en"><p>Nezavisimosty Ave., 4, Minsk 220030</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>Петлицкий</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Petlitsky</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Казинца, 121А, г. Минск 220108</p></bio><bio xml:lang="en"><p>Kazintsa str., 121A, Minsk 220108</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский государственный университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian State University</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Интеграл – управляющая компания холдинга «Интеграл»</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Integral – «Integral» Holding Management Company</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>02</day><month>07</month><year>2025</year></pub-date><volume>16</volume><issue>2</issue><fpage>140</fpage><lpage>146</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Борздов А.B., Борздов В.М., Буйновский Д.Н., Петлицкий А.Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Борздов А.B., Борздов В.М., Буйновский Д.Н., Петлицкий А.Н.</copyright-holder><copyright-holder xml:lang="en">Borzdov A.V., Borzdov V.M., Buinouski D.N., Petlitsky A.N.</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://pimi.bntu.by/jour/article/view/960">https://pimi.bntu.by/jour/article/view/960</self-uri><abstract><p>Численное моделирование электрических характеристик полупроводниковых фотодиодов является важным этапом на стадии их разработки и проектирования. В этой связи следует отметить, что одним из наиболее перспективных методов, который может быть использован для этой цели, является многочастичный метод Монте-Карло. Данный метод позволяет учитывать и включать наряду с доминирующими механизмами рассеяния носителей заряда в приборной структуре также и процессы ударной ионизации, что является очень важным при адекватном моделировании широкого класса кремниевых фотодиодов, работающих в режиме обратного смещения. Целью работы явилось изучение влияния процесса ударной ионизации на электрические характеристики кремниевых субмикронных фотодиодов с p-n-переходом и p-i-n-структурой, работающих в режиме обратного смещения при воздействии пикосекундных импульсов излучения видимого диапазона спектра. С помощью самосогласованного моделирования многочастичным методом Монте-Карло проведен расчёт и сравнение с известными экспериментальными данными коэффициента ионизации электронами в объёмном кремнии при температуре кристаллической решётки 300 К. Рассчитан фотоотклик в кремниевых субмикронных фотодиодах с p-n-переходом и фотодиодах с p-i-n-структурой для различных толщин i-области. Показано, что использование для расчёта интенсивности процесса ударной ионизации простых моделей, подобных модели Келдыша, предполагающих постоянные значения пороговой энергии и других параметров, не позволяет согласовать полученные значения коэффициента ионизации с экспериментальными данными в широком диапазоне напряжённости электрического поля. Этот результат ставит вопрос об адекватности моделирования электрических характеристик приборных структур с неоднородным электрическим полем при использовании таких простых моделей ударной ионизации.</p></abstract><trans-abstract xml:lang="en"><p>Numerical modeling of semiconductor photodiodes’ electrical characteristics is an important task at the stage of their development and design. In this regard, it should be noted that one of the most promising methods that can be used for this purpose is the ensemble Monte Carlo method, which allows including, along with the dominant mechanisms of charge carriers’ scattering in the device structure, also the processes of impact ionization, which is very important for adequate modeling of a wide class of silicon photodiodes operating in the reverse bias mode. The aim of the work was to study the influence of the impact ionization process on the electrical characteristics of silicon photodiodes with a p-n-junction and a p-i-n-structure operating in the reverse bias mode under the influence of picosecond pulses of visible radiation. Using selfconsistent simulation by the ensemble Monte Carlo method, the electron ionization coefficient in bulk silicon at a crystal lattice temperature of 300 K was calculated and compared with known experimental data. Photoresponse in silicon submicron photodiodes with a p-n-junction and photodiodes with a p-i-n-structure was calculated for different thicknesses of the undoped i-region. It was shown that use of simple models similar to the Keldysh model with constant values of the threshold energy and other parameters for calculating the rate of the impact ionization process did not allow obtaining values of the ionization coefficient matched with experimental data in a wide range of electric field strengths. This result raises the question on the adequacy of the device structures’ electrical characteristics modeling with a non-uniform electric field when using such simple impact ionization models.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>метод Монте-Карло</kwd><kwd>фототок</kwd><kwd>кремниевый фотодиод</kwd><kwd>ударная ионизация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Monte Carlo method</kwd><kwd>photocurrent</kwd><kwd>silicon photodiode</kwd><kwd>impact ionization</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">Filachev AM, Taubkin II, Trishenkov M. A. Solid-state photoelectronics. Photodiodes. Moscow: Fizmatkniga, 2011, 448 p.</mixed-citation><mixed-citation xml:lang="en">Filachev AM, Taubkin II, Trishenkov M. A. Solid-state photoelectronics. Photodiodes. 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