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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">vestifm</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-математических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-2430</issn><issn pub-type="epub">2524-2415</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-2430-2024-60-4-327-334</article-id><article-id custom-type="elpub" pub-id-type="custom">vestifm-813</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Оптимизация параметров бесселевых пучков с использованием перестраиваемого аберратора</article-title><trans-title-group xml:lang="en"><trans-title>Bessel beam parameter optimization with adjustable aberrator</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9215-3570</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петров</surname><given-names>П. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Piatrou</surname><given-names>P. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Петров Петр Казимирович – кандидат физико- математических наук, ведущий научный сотрудник</p><p>пр. Независимости, 68-2, 220072, Минск</p></bio><bio xml:lang="en"><p>Piotr K. Piatrou – Ph. D. (Physics and Mathematics), Leading Researcher</p><p>68-2, Nezavisimosti Ave., 220072, Minsk</p></bio><email xlink:type="simple">p.piatrou@dragon.bas-net.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5550-1708</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хило</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Khilo</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Хило Николай Анатольевич – кандидат физико-математических наук, доцент, ведущий научный сотрудник</p><p>пр. Независимости, 68-2, 220072, Минск</p></bio><bio xml:lang="en"><p>Nikolai A. Khilo – Ph. D. (Physics and Mathematics), Associate Professor, Leading Researcher</p><p>68-2, Nezavisimosti Ave., 220072, Minsk</p></bio><email xlink:type="simple">n.khilo@dragon.bas-net.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт физики имени Б. И. Степанова Национальной академии наук Беларуси</institution></aff><aff xml:lang="en"><institution>B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2025</year></pub-date><volume>60</volume><issue>4</issue><fpage>327</fpage><lpage>334</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Петров П.К., Хило Н.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Петров П.К., Хило Н.А.</copyright-holder><copyright-holder xml:lang="en">Piatrou P.K., Khilo N.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://vestifm.belnauka.by/jour/article/view/813">https://vestifm.belnauka.by/jour/article/view/813</self-uri><abstract><p>Преобразование классических лазерных пучков в пучки бесселева типа имеет ряд преимуществ. В частности, оно может улучшить распределение энергии в дальней зоне для многомодового пучка и стабилизировать это распределение в широком диапазоне дистанций. В стандартном методе формирования бесселева пучка с применением одного или двух аксиконов последние используются для создания кольцевых пучков с малым углом конуса, оптимизированных для распространения на большие дистанции. Недостатком аксиконов является их фиксированная геометрия, не позволяющая настраивать параметры пучка. Дополнительное улучшение для структуры пучков бесселева типа, позволяющее реализовать более точные распределения энергии, достигается за счет добавления в пучок контролируемого количества сферической аберрации. Это требует разработки специализированной оптической системы, которая добавляет управляемую сферическую аберрацию в лазерный пучок. Эффективная конструкция подобной оптической системы предложена и экспериментально реализована применительно к преобразованию многомодовых лазерных пучков в пучки бесселева типа.</p></abstract><trans-abstract xml:lang="en"><p>Transformation of ordinary laser beams of Gaussian type into the ones of Bessel type gives a number of advantages. In particular, it may improve a multi-mode beam energy distribution in the far zone and keep it stable over a long range of propagation distances. A usual method of the Bessel beam formation is based on the use of one or a pair of axicons, at that the latter is used for creating annular beams with small conic angles optimized for long range propagation. The disadvantage of axicons is their fixed geometry not allowing the beam parameter adjustment. An additional Bessel beam improvement allowing to reach a finer energy distribution comes from injection into it a controllable amount of spherical aberration. This requires development of a specialized optical system, which adds adjustable spherical aberration to the laser beam. Efficient design of such an optical system has been created and experimentally tested on the transformation of a multi-mode laser beam into Bessel beam.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>пучки бесселева типа</kwd><kwd>аберратор</kwd><kwd>дальняя зона</kwd><kwd>многомодовый пучок</kwd><kwd>сферическая аберрация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Bessel-like beam</kwd><kwd>aberrator</kwd><kwd>far zone</kwd><kwd>multimode beam</kwd><kwd>spherical aberration</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">Aruga T. Generation of long-range non-diffracting narrow light beams. Applied Optics, 1997, vol. 36, no. 16, pp. 3762–3768. https://doi.org/10.1364/ao.36.003762</mixed-citation><mixed-citation xml:lang="en">Aruga T. Generation of long-range non-diffracting narrow light beams. Applied Optics, 1997, vol. 36, no. 16, pp. 3762–3768. https://doi.org/10.1364/ao.36.003762</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Belyi V., Forbes A., Kazak N., Khilo N., Ropot P. Bessel-like beams with z-dependent cone angles. Optics Express, 2010, vol. 18, no. 3, pp. 1966–1973. https://doi.org/10.1364/OE.18.001966</mixed-citation><mixed-citation xml:lang="en">Belyi V., Forbes A., Kazak N., Khilo N., Ropot P. Bessel-like beams with z-dependent cone angles. Optics Express, 2010, vol. 18, no. 3, pp. 1966–1973. https://doi.org/10.1364/OE.18.001966</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Vaičaitis V., Paulikas Š. Formation of Bessel beams with continuously variable cone angle. Optical and Quantum Electronics, 2003, vol. 35, pp. 1065–1071. https://doi.org/10.1023/a:1026096305442</mixed-citation><mixed-citation xml:lang="en">Vaičaitis V., Paulikas Š. Formation of Bessel beams with continuously variable cone angle. Optical and Quantum Electronics, 2003, vol. 35, pp. 1065–1071. https://doi.org/10.1023/a:1026096305442</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Herman R. M., Wiggins T. A. Production and uses of diffractionless beams. Journal of the Optical Society of America A, 1991, vol. 8, no. 6, pp. 932–942. https://doi.org/10.1364/JOSAA.8.000932</mixed-citation><mixed-citation xml:lang="en">Herman R. M., Wiggins T. A. Production and uses of diffractionless beams. Journal of the Optical Society of America A, 1991, vol. 8, no. 6, pp. 932–942. https://doi.org/10.1364/JOSAA.8.000932</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Palma C., Bagini V. Extension of the Fresnel transform to ABCD systems. Journal of the Optical Society of America A, 1997, vol. 14, no. 8, pp. 1774–1779. https://doi.org/10.1364/JOSAA.14.001774</mixed-citation><mixed-citation xml:lang="en">Palma C., Bagini V. Extension of the Fresnel transform to ABCD systems. Journal of the Optical Society of America A, 1997, vol. 14, no. 8, pp. 1774–1779. https://doi.org/10.1364/JOSAA.14.001774</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>
