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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">10.17586/2220-8054-2015-6-2-244-248</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-928</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>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group></article-categories><title-group><article-title>Femtosecond pulse shaping via engineered nonlinear photonic crystals</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Sapaev</surname><given-names>U. K.</given-names></name></name-alternatives><bio xml:lang="en"><p>Department of Physics</p><p>100174 Tashkent</p></bio><email xlink:type="simple">usapaev@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Eshniyazov</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="en"><p>Department of Physics</p><p>100174 Tashkent</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Eshchanov</surname><given-names>B. Kh.</given-names></name></name-alternatives><bio xml:lang="en"><p>Department of Physics</p><p>100174 Tashkent</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Yusupov</surname><given-names>D. B.</given-names></name></name-alternatives><bio xml:lang="en"><p>Universitetskaya ul. 2 Tashkent, 100095</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>National University of Uzbekistan, named after M. Ulugbek</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-2"><institution>Tashkent State Technical University</institution><country>Uzbekistan</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>14</day><month>08</month><year>2025</year></pub-date><volume>6</volume><issue>2</issue><fpage>244</fpage><lpage>248</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Sapaev U.K., Eshniyazov V.E., Eshchanov B.K., Yusupov D.B., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Sapaev U.K., Eshniyazov V.E., Eshchanov B.K., Yusupov D.B.</copyright-holder><copyright-holder xml:lang="en">Sapaev U.K., Eshniyazov V.E., Eshchanov B.K., Yusupov D.B.</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/928">https://nanojournal.ifmo.ru/jour/article/view/928</self-uri><abstract><p>Non-stationary second harmonic generation by femtosecond pulses, taking into account both group velocity mismatch and dispersion in nonlinear photonic crystals (quasi-phase matched crystals) with domains of arbitrary sizes has been studied numerically. A simulated-annealing algorithm, working on the basis of numerical calculation, is developed to design quasi-phase matching gratings which can yield the desired amplitude and phase profile for second-harmonic pulses in the presence of pump depletion.</p></abstract><kwd-group xml:lang="en"><kwd>second harmonic generation</kwd><kwd>quasi-phase matched crystals</kwd><kwd>nonlinear photonic crystals</kwd><kwd>pulse shaping</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">Armstrong J. A., Bloembergen N., Ducuing J. and Pershan P. S. Interactions between Light Waves in a Nonlinear Dielectric. Physical Review, 127(5), P. 1918–1939 (1962).</mixed-citation><mixed-citation xml:lang="en">Armstrong J. A., Bloembergen N., Ducuing J. and Pershan P. S. Interactions between Light Waves in a Nonlinear Dielectric. 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