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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2025-16-3-291-297</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-316</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="en"><subject>NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>НАНОСИСТЕМЫ: ФИЗИКА, ХИМИЯ, МАТЕМАТИКА</subject></subj-group></article-categories><title-group><article-title>Study of femtosecond laser amplification in MgO:LiTaO3 crystals with periodic nonlinear properties</article-title><trans-title-group xml:lang="ru"><trans-title>Исследование усиления фемтосекундного лазера в кристаллах MgO:LiTaO₃ с периодическими нелинейными свойствами</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-8210-2387</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Собиров</surname><given-names>О. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Sabirov</surname><given-names>O. I.</given-names></name></name-alternatives><bio xml:lang="en"><p>Obid I. Sabirov</p><p>Kh. Alimjan Str. 14, Urgench, 220100, Khorezm Region</p></bio><email xlink:type="simple">obid7432505@gmail.com</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>Раджабов</surname><given-names>А. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Rajabov</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="en"><p>Alisher E. Rajabov</p><p>Kh. Alimjan Str. 14, Urgench, 220100, Khorezm Region</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>Матназаров</surname><given-names>А. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Matnazarov</surname><given-names>A. R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Anvar R. Matnazarov</p><p>Gurlan-2 Str., Urgench, 220100, Khorezm Region</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1168-2572</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Эшчанов</surname><given-names>Б. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Eshchanov</surname><given-names>B. Kh.</given-names></name></name-alternatives><bio xml:lang="en"><p>Bakhodir Kh. Eshchanov</p><p>Amir Temur Str. 104, Chirchik, Tashkent Region</p></bio><email xlink:type="simple">bakhodir.eshchanov@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Отажанов</surname><given-names>Ш.</given-names></name><name name-style="western" xml:lang="en"><surname>Otajanov</surname><given-names>Sh.</given-names></name></name-alternatives><bio xml:lang="en"><p>Shavkat Otajanov</p><p>University Str. 4, Tashkent, 100174</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8040-4395</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сапаев</surname><given-names>У. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Sapaev</surname><given-names>U. K.</given-names></name></name-alternatives><bio xml:lang="en"><p>Usman K. Sapaev</p><p>Durmon Yuli Street 34, Tashkent, 100125</p></bio><email xlink:type="simple">usapaev@gmail.com</email><xref ref-type="aff" rid="aff-5"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Urgench State University</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-2"><institution>Urgench Innovative University</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-3"><institution>Chirchik State Pedagogical University</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-4"><institution>National University of Uzbekistan named after Mirzo Ulugbek</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-5"><institution>Tashkent Branch of the Russian Gubkin University</institution><country>Uzbekistan</country></aff><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>29</day><month>06</month><year>2025</year></pub-date><volume>16</volume><issue>3</issue><fpage>291</fpage><lpage>297</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Sabirov O.I., Rajabov A.E., Matnazarov A.R., Eshchanov B.K., Otajanov S., Sapaev U.K., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Собиров О.И., Раджабов А.Э., Матназаров А.Р., Эшчанов Б.Х., Отажанов Ш., Сапаев У.К.</copyright-holder><copyright-holder xml:lang="en">Sabirov O.I., Rajabov A.E., Matnazarov A.R., Eshchanov B.K., Otajanov S., Sapaev U.K.</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://nanojournal.ifmo.ru/jour/article/view/316">https://nanojournal.ifmo.ru/jour/article/view/316</self-uri><abstract><p>This work presents a theoretical study of the parametric amplification process of optical radiation in crystals with periodic modulation of quadratic nonlinear susceptibility, using MgO:LiTaO3 as an example. Special attention is given to analyzing the influence of basic factors such as linear absorption and dispersion on the process efficiency. It is found that in the infrared spectral range, linear absorption and dispersion effects significantly affect the signal wave amplification coefficient, determining the energy redistribution dynamics and spectral characteristics of the resulting radiation. The study introduces a novel approach to optimizing domain length relative to coherence length, achieving up to 18 % efficiency through precise tuning, which surpasses previously reported results for similar materials. The obtained results are important for optimizing nonlinear crystal parameters, developing efficient parametric amplification schemes, and creating promising optical devices operating in the infrared range.</p></abstract><trans-abstract xml:lang="ru"><p>В данной работе представлено теоретическое исследование процесса параметрического усиления оптического излучения в кристаллах с периодической модуляцией квадратичной нелинейной восприимчивости на примере MgO:LiTaO₃. Особое внимание уделено анализу влияния основных факторов, таких как линейное поглощение и дисперсия, на эффективность процесса. Установлено, что в инфракрасном спектральном диапазоне эффекты линейного поглощения и дисперсии существенно влияют на коэффициент усиления сигнальной волны, определяя динамику перераспределения энергии и спектральные характеристики получаемого излучения. В исследовании предложен новый подход к оптимизации длины домена относительно длины когерентности, что позволило достичь эффективности до 18% за счет точной настройки, превосходящей ранее опубликованные результаты для аналогичных материалов. Полученные результаты имеют важное значение для оптимизации параметров нелинейных кристаллов, разработки эффективных схем параметрического усиления и создания перспективных оптических устройств, работающих в инфракрасном диапазоне.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>параметрическое усиление</kwd><kwd>нелинейный кристалл MgO:LiTaO₃</kwd><kwd>инфракрасный диапазон</kwd><kwd>лазерные технологии</kwd><kwd>нелинейная оптика</kwd><kwd>квазифазовое согласование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>parametric amplification</kwd><kwd>nonlinear crystal MgO:LiTaO3</kwd><kwd>infrared range</kwd><kwd>laser technologies</kwd><kwd>nonlinear optics</kwd><kwd>quasi-phase matching</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">Kroll H. Parametric amplification in spatially extended media and application to the design of tunable oscillation at optical frequencies. Physical Review, 1962, 127, 1207.</mixed-citation><mixed-citation xml:lang="en">Kroll H. Parametric amplification in spatially extended media and application to the design of tunable oscillation at optical frequencies. Physical Review, 1962, 127, 1207.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Yakovlev I.A., Akhmanov S.A., Khokhlov R.V. Problems of nonlinear optics. Advances in Physical Sciences, 1965, 85 (3), P. 579–581.</mixed-citation><mixed-citation xml:lang="en">Yakovlev I.A., Akhmanov S.A., Khokhlov R.V. Problems of nonlinear optics. Advances in Physical Sciences, 1965, 85 (3), P. 579–581.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Kingston R.H. Parametric amplification and oscillation at optical frequencies. Proceedings of the Institute of Radio Engineers, 1962, 50 (4), 472.</mixed-citation><mixed-citation xml:lang="en">Kingston R.H. Parametric amplification and oscillation at optical frequencies. Proceedings of the Institute of Radio Engineers, 1962, 50 (4), 472.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Wang C.C., Racette G.W. Measurement of parametric gain accompanying optical difference frequency generation. Applied Physics Letters, 1965, 6 (8), P. 169–171.</mixed-citation><mixed-citation xml:lang="en">Wang C.C., Racette G.W. Measurement of parametric gain accompanying optical difference frequency generation. Applied Physics Letters, 1965, 6 (8), P. 169–171.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Akhmanov S.A., Khokhlov R.V. Parametric amplifiers and light generators. Advances in Physical Sciences, 1966, 88 (3), P. 439–460.</mixed-citation><mixed-citation xml:lang="en">Akhmanov S.A., Khokhlov R.V. Parametric amplifiers and light generators. Advances in Physical Sciences, 1966, 88 (3), P. 439–460.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Sabirov O.I., Assanto G., Sapaev U.K. Efficient third-harmonic generation by inhomogeneous quasi-phase-matching in quadratic crystals. Photonics, 2023, 10 (1).</mixed-citation><mixed-citation xml:lang="en">Sabirov O.I., Assanto G., Sapaev U.K. Efficient third-harmonic generation by inhomogeneous quasi-phase-matching in quadratic crystals. Photonics, 2023, 10 (1).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Sabirov O.I., Akbarova N., Atadjanova N., Sapaev U. Efficient realization of infrared coherent radiation by the method of parametric light amplification in nonlinear photonic crystals. J. of Physics: Conference Series, 2021, 2131 (5).</mixed-citation><mixed-citation xml:lang="en">Sabirov O.I., Akbarova N., Atadjanova N., Sapaev U. Efficient realization of infrared coherent radiation by the method of parametric light amplification in nonlinear photonic crystals. J. of Physics: Conference Series, 2021, 2131 (5).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Stensson K., Bj¨ork G., Gallo K. Green-pumped parametric downconversion in hexagonally poled MgO:LiTaO3. Proceedings of the Conference “Advanced Solid-State Lasers”, 2014, Atu3A-5, P. 47–49.</mixed-citation><mixed-citation xml:lang="en">Stensson K., Bj¨ork G., Gallo K. Green-pumped parametric downconversion in hexagonally poled MgO:LiTaO3. Proceedings of the Conference “Advanced Solid-State Lasers”, 2014, Atu3A-5, P. 47–49.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Y.H., Xie Z.D., Ling W., Yuan Y., Lv X.J., Lu J., Hu X.P., Zhao G., Zhu S.N. Efficiency-enhanced optical parametric down conversion for mid-infrared generation on a tandem periodically poled MgO-doped stoichiometric lithium tantalate chip. Opt. Express, 2011, 19, P. 17500–17505.</mixed-citation><mixed-citation xml:lang="en">Liu Y.H., Xie Z.D., Ling W., Yuan Y., Lv X.J., Lu J., Hu X.P., Zhao G., Zhu S.N. Efficiency-enhanced optical parametric down conversion for mid-infrared generation on a tandem periodically poled MgO-doped stoichiometric lithium tantalate chip. Opt. Express, 2011, 19, P. 17500–17505.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Satoshi E., Ashihara S. Comparative study on light-induced absorption between MgO: LiNbO3 and MgO: LiTaO3. J. of Applied Physics, 2011, 110 (6).</mixed-citation><mixed-citation xml:lang="en">Satoshi E., Ashihara S. Comparative study on light-induced absorption between MgO: LiNbO3 and MgO: LiTaO3. J. of Applied Physics, 2011, 110 (6).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Sabirov O.I., et al. High efficient optical parametric amplification of femtosecond pulses in MgO doped PPLN crystals at 3.4 m. Optical and Quantum Electronics, 2023, 55 (8).</mixed-citation><mixed-citation xml:lang="en">Sabirov O.I., et al. High efficient optical parametric amplification of femtosecond pulses in MgO doped PPLN crystals at 3.4 m. Optical and Quantum Electronics, 2023, 55 (8).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Dolev I., et al. Linear and nonlinear optical properties of MgO:LiTaO3. Applied Physics B, 2009, 96, P. 423–432.</mixed-citation><mixed-citation xml:lang="en">Dolev I., et al. Linear and nonlinear optical properties of MgO:LiTaO3. Applied Physics B, 2009, 96, P. 423–432.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Alexandrovski A.L., et al. UV and visible absorption in LiTaO3. Laser Material Crystal Growth and Nonlinear Materials and Devices, 1999, 3610, P. 44–51.</mixed-citation><mixed-citation xml:lang="en">Alexandrovski A.L., et al. UV and visible absorption in LiTaO3. Laser Material Crystal Growth and Nonlinear Materials and Devices, 1999, 3610, P. 44–51.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Sapaev U.K., Kutzner J., Finsterbusch K. Optimization of type-II frequency doubling of spatial and temporal limited laser light in nonlinear crystals. Optical and Quantum Electronics, 2005, 37, P. 515–527.</mixed-citation><mixed-citation xml:lang="en">Sapaev U.K., Kutzner J., Finsterbusch K. Optimization of type-II frequency doubling of spatial and temporal limited laser light in nonlinear crystals. Optical and Quantum Electronics, 2005, 37, P. 515–527.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Sabirov O.I., et al. On the theoretical analysis of parametric amplification of femtosecond laser pulses in crystals with a regular domain structure. Physics of Wave Phenomena, 2022, 30 (4), P. 277–282.</mixed-citation><mixed-citation xml:lang="en">Sabirov O.I., et al. On the theoretical analysis of parametric amplification of femtosecond laser pulses in crystals with a regular domain structure. Physics of Wave Phenomena, 2022, 30 (4), P. 277–282.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
