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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">10.17586/2220-8054-2016-7-2-349-370</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-834</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>CONTRIBUTED TALKS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>CONTRIBUTED TALKS</subject></subj-group></article-categories><title-group><article-title>Light scattering of Laguerre-Gaussian beams: near-field structures and symmetries</article-title><trans-title-group xml:lang="ru"><trans-title>Light scattering of Laguerre-Gaussian beams: near-field structures and symmetries</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>Kiselev</surname><given-names>A. D.</given-names></name><name name-style="western" xml:lang="en"><surname>Kiselev</surname><given-names>A. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><bio xml:lang="en"><p>Kronverkskiy, 49, St. Petersburg, 197101</p></bio><email xlink:type="simple">alexei.d.kiselev@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>Plutenko</surname><given-names>D. O.</given-names></name><name name-style="western" xml:lang="en"><surname>Plutenko</surname><given-names>D. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kiev</p></bio><bio xml:lang="en"><p>Kiev</p></bio><email xlink:type="simple">dmplutenko@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Institute of Physics of National Academy of Sciences of Ukraine; Physical Engineering Teaching Research Center of National Academy of Sciences of Ukraine</institution></aff><aff xml:lang="en"><institution>Institute of Physics of National Academy of Sciences of Ukraine; Physical Engineering Teaching Research Center of National Academy of Sciences of Ukraine</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>7</volume><issue>2</issue><issue-title>Special Issue</issue-title><fpage>349</fpage><lpage>370</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Kiselev A.D., Plutenko D.O., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Kiselev A.D., Plutenko D.O.</copyright-holder><copyright-holder xml:lang="en">Kiselev A.D., Plutenko D.O.</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/834">https://nanojournal.ifmo.ru/jour/article/view/834</self-uri><abstract><p>We apply the method of far-field matching to remodel laser beams and study light scattering from spherical particles illuminated by a Laguerre-Gaussian (LG) light beam. The optical field in the near-field region is analyzed for purely azimuthal LG beams characterized by a nonzero azimuthal mode number mLG. The morphology of photonic nanojets is shown to significantly vary, depending the mode number and the scatterer’s characteristics. The cases of negative index metamaterial and metallic Mie scatterers are discussed. We also discuss the symmetry properties of laser beams and related results for the optical forces. The near-field structure of optical vortices associated with the components of the electric field, being highly sensitive to the mode number, is found to be determined by the twofold rotational symmetry.</p></abstract><trans-abstract xml:lang="ru"><p>We apply the method of far-field matching to remodel laser beams and study light scattering from spherical particles illuminated by a Laguerre-Gaussian (LG) light beam. The optical field in the near-field region is analyzed for purely azimuthal LG beams characterized by a nonzero azimuthal mode number mLG. The morphology of photonic nanojets is shown to significantly vary, depending the mode number and the scatterer’s characteristics. The cases of negative index metamaterial and metallic Mie scatterers are discussed. We also discuss the symmetry properties of laser beams and related results for the optical forces. The near-field structure of optical vortices associated with the components of the electric field, being highly sensitive to the mode number, is found to be determined by the twofold rotational symmetry.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>light scattering</kwd><kwd>Laguerre-Gaussian beams</kwd><kwd>photonic nanojets</kwd><kwd>optical vortices</kwd></kwd-group><kwd-group xml:lang="en"><kwd>light scattering</kwd><kwd>Laguerre-Gaussian beams</kwd><kwd>photonic nanojets</kwd><kwd>optical vortices</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">A.D.K. acknowledges partial financial support from the Government of the Russian Federation (Grant No. 074-U01), from the Ministry of Education and Science of the Russian Federation (Grant No. GOSZADANIE 2014/190, Project No. 14.Z50.31.0031, and ZADANIE Grant No. 1.754.2014/K), through a grant from the Russian Foundation for Basic Research, and through a grant from the President of Russia (Grant No. MK-2736.2015.2).</funding-statement><funding-statement xml:lang="en">A.D.K. acknowledges partial financial support from the Government of the Russian Federation (Grant No. 074-U01), from the Ministry of Education and Science of the Russian Federation (Grant No. GOSZADANIE 2014/190, Project No. 14.Z50.31.0031, and ZADANIE Grant No. 1.754.2014/K), through a grant from the Russian Foundation for Basic Research, and through a grant from the President of Russia (Grant No. MK-2736.2015.2).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Mie G. 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