<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-1970</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>ПРИБОРЫ И МЕТОДЫ СПЕКТРОСКОПИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>DEVICES AND METHODS OF SPECTROSCOPY</subject></subj-group></article-categories><title-group><article-title>Формирование и распространение игольчатых световых пучков</article-title><trans-title-group xml:lang="en"><trans-title>Formation and Propagation of Needle Light Beams</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>Курилкина</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Kurilkina</surname><given-names>S. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Минск</p></bio><bio xml:lang="en"><p>Minsk</p></bio><email xlink:type="simple">s.kurilkina@ifanbel.bas-net.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>Довыденко</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Dovydenko</surname><given-names>S. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Минск</p></bio><bio xml:lang="en"><p>Minsk</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт физики НАН Беларуси</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-2"><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><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>26</day><month>09</month><year>2025</year></pub-date><volume>92</volume><issue>5</issue><fpage>668</fpage><lpage>673</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Курилкина С.Н., Довыденко С.Н., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Курилкина С.Н., Довыденко С.Н.</copyright-holder><copyright-holder xml:lang="en">Kurilkina S.N., Dovydenko S.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://zhps.ejournal.by/jour/article/view/1970">https://zhps.ejournal.by/jour/article/view/1970</self-uri><abstract><p>С помощью аналитических и численных методов исследуется поле, формируемое оптической схемой из двух аксиконов с малым различием углов конусности. Найдена область формирования этой схемой бесселева пучка (БП) с широким центральным максимумом. Предложен метод получения игольчатых пучков, характеризуемых большим диаметром, на основе диафрагмирования указанных БП по первому минимуму распределения интенсивности. Показано, что эти пучки в сравнении с ограниченными гауссовыми той же мощности обладают подавленной дифракционной расходимостью. Проведено сравнение мощностей игольчатого PNB и ограниченного гауссова PG пучков, падающих на приемную апертуру, при различных ее размерах и расположениях z. Показано, что с увеличением z отношение PNB/PG возрастает. Установлено, что диафрагмирование БП по второму или третьему минимуму позволяет формировать световые пучки, дифракционная расходимость которых меньше, чем в случае игольчатых пучков. Показана перспективность использования пучков, полученных при диафрагмировании БП с широким центральным максимумом по второму минимуму распределения интенсивности, для зондирования удаленных на расстояние до десятков метров объектов. </p></abstract><trans-abstract xml:lang="en"><p>The field formed by an optical scheme of two axicons with a small difference in cone angles is investigated using analytical and numerical methods. The region of formation of a Bessel beam (BB) with a wide central maximum by this scheme is found. A method for obtaining needle beams characterized by a large diameter is proposed based on diaphragming of indicated BBs at the first minimum of the intensity distribution. It is shown that these beams, in comparison with limited Gaussian beams of the same power, have suppressed diffraction divergence. A comparison is made of the powers of the needle PNB and limited Gaussian PG beams incident on the receiving aperture with its different sizes and locations z, and it is shown that the PNB/PG ratio increases with increasing z. It is established that diaphragming of the BBs at the second or third minimum allows one to form light beams whose diffraction divergence is smaller than in the case of needle beams. The potential of using beams obtained by diaphragming a BB with a wide central maximum at the second minimum of the intensity distribution for probing objects located at a distance of up to tens of meters is shown.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>оптическое излучение</kwd><kwd>бесселев световой пучок</kwd><kwd>аксикон</kwd><kwd>дифракционная расходимость</kwd><kwd>сканирующая микроскопия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>optical radiation</kwd><kwd>Bessel light beam</kwd><kwd>axicon</kwd><kwd>diffraction divergence</kwd><kwd>scanning microscopy</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">K. Shimoda. J. Phys. Soc. Japan, 60 (1991) 450—454</mixed-citation><mixed-citation xml:lang="en">K. Shimoda. J. Phys. Soc. Japan, 60 (1991) 450—454</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">А. М. Бельский. Вестн. БГУ, № 2 (1995) 8—10 [A. M. Bel’sky. Bull. BSU, N 2 (1995) 8–10]</mixed-citation><mixed-citation xml:lang="en">А. М. Бельский. Вестн. БГУ, № 2 (1995) 8—10 [A. M. Bel’sky. Bull. BSU, N 2 (1995) 8–10]</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">R. Grunwald. Thin-Film Microoptics — New Frontiers of Spatio-Temporal Beam Shaping, Amsterdam, Elsevier (2007)</mixed-citation><mixed-citation xml:lang="en">R. Grunwald. Thin-Film Microoptics — New Frontiers of Spatio-Temporal Beam Shaping, Amsterdam, Elsevier (2007)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">R. Grunwald, M. Bock. Adv. Phys. X, 5 (2020) 1736950</mixed-citation><mixed-citation xml:lang="en">R. Grunwald, M. Bock. Adv. Phys. X, 5 (2020) 1736950</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">J. Yang, L. Gong, Y. Shen, L. V. Wang. Appl. Phys. Lett., 113 (2018) 181104</mixed-citation><mixed-citation xml:lang="en">J. Yang, L. Gong, Y. Shen, L. V. Wang. Appl. Phys. Lett., 113 (2018) 181104</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">T. Grosjean, D. Courjan, D. V. Labeke. J. Microscopy, 210 (2003) 319—323</mixed-citation><mixed-citation xml:lang="en">T. Grosjean, D. Courjan, D. V. Labeke. J. Microscopy, 210 (2003) 319—323</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Chen, A. Glaser, J. T. Liu. J. Biophoton., 10 (2016) 68—74</mixed-citation><mixed-citation xml:lang="en">Y. Chen, A. Glaser, J. T. Liu. J. Biophoton., 10 (2016) 68—74</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">M. Rioux, R. Tremblay, P. A. Bélanger. Appl. Opt., 17 (1978) 1532—1536</mixed-citation><mixed-citation xml:lang="en">M. Rioux, R. Tremblay, P. A. Bélanger. Appl. Opt., 17 (1978) 1532—1536</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">M. Duocastella, C. B. Arnold. Laser Phot. Rev., 6 (2012) 607—621</mixed-citation><mixed-citation xml:lang="en">M. Duocastella, C. B. Arnold. Laser Phot. Rev., 6 (2012) 607—621</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">R. Meyer, L. Froehly, R. Giust, J. Del Hoyo, L. Furfaro, C. Billet, F. Courvoisier. Appl. Phys. Lett., 114 (2019) 201105</mixed-citation><mixed-citation xml:lang="en">R. Meyer, L. Froehly, R. Giust, J. Del Hoyo, L. Furfaro, C. Billet, F. Courvoisier. Appl. Phys. Lett., 114 (2019) 201105</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">G. Fuxi, W. Yang. Data Storage at the Nanoscale, Boca Raton, CRC Press, Taylor &amp; Francis (2015) 26—28</mixed-citation><mixed-citation xml:lang="en">G. Fuxi, W. Yang. Data Storage at the Nanoscale, Boca Raton, CRC Press, Taylor &amp; Francis (2015) 26—28</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">H. Little, C. T. A. Brown, V. Garcés-Chávez, W. Sibbett, K. Dholakia. Opt. Express, 12 (2004) 2560—2563</mixed-citation><mixed-citation xml:lang="en">H. Little, C. T. A. Brown, V. Garcés-Chávez, W. Sibbett, K. Dholakia. Opt. Express, 12 (2004) 2560—2563</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">D. Stevenson, B. Agate, X. Tsampoula, P. Fischer, C. T. A. Brown, W. Sibbett, A. Riches, F. Gunn-Moore, K. Dholakia. Opt. Express, 14 (2006) 7125—7133</mixed-citation><mixed-citation xml:lang="en">D. Stevenson, B. Agate, X. Tsampoula, P. Fischer, C. T. A. Brown, W. Sibbett, A. Riches, F. Gunn-Moore, K. Dholakia. Opt. Express, 14 (2006) 7125—7133</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">E. Yew, C. Sheppard. Opt. Express, 14 (2006) 1167—1174</mixed-citation><mixed-citation xml:lang="en">E. Yew, C. Sheppard. Opt. Express, 14 (2006) 1167—1174</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Li, Q. Zhang, W. Hong. Opt. Express, 20 (2012) 15427—15439</mixed-citation><mixed-citation xml:lang="en">Y. Li, Q. Zhang, W. Hong. Opt. Express, 20 (2012) 15427—15439</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">М. В. Федорюк. Журн. вычислит. математики и матем. физики, 2, № 1 (1962) 145—150 [M. V. Fedoryuk. Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2, N 1 (1962) 145—150]</mixed-citation><mixed-citation xml:lang="en">М. В. Федорюк. Журн. вычислит. математики и матем. физики, 2, № 1 (1962) 145—150 [M. V. Fedoryuk. Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2, N 1 (1962) 145—150]</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">M. K. Al-Muhanna, S. N. Kurilkina, V. N. Belyi, N. S. Kazak. J. Optics, 13 (2011) 105703</mixed-citation><mixed-citation xml:lang="en">M. K. Al-Muhanna, S. N. Kurilkina, V. N. Belyi, N. S. Kazak. J. Optics, 13 (2011) 105703</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">С. Д. Алгазин. Изв. Тульского гос. ун-та. Естеств. науки, № 1 (2013) 132—141 [S. D. Algazin. Izvestiya Tula State University, N 1 (2013) 132—141]</mixed-citation><mixed-citation xml:lang="en">С. Д. Алгазин. Изв. Тульского гос. ун-та. Естеств. науки, № 1 (2013) 132—141 [S. D. Algazin. Izvestiya Tula State University, N 1 (2013) 132—141]</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>
