<?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-1697</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>НЕЛИНЕЙНАЯ СПЕКТРОСКОПИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>NONLINEAR SPECTROSCOPY</subject></subj-group></article-categories><title-group><article-title>Верификация и спектральное разделение ап-конверсионных   процессов во фторфосфатном стекле, допированном   ионами иттербия и тулия, на основе зависимости их эффективной нелинейности от длины волны</article-title><trans-title-group xml:lang="en"><trans-title>Verification and spectral separation of up-conversion processes in fluorophosphate glass doped with ytterbium and thulium ions based  on the dependence of their effective nonlinearity on wavelength</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>Корольков</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Korolkov</surname><given-names>M. V.</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-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ходасевич</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Khodasevich</surname><given-names>I. A.</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-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грабчиков</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Grabtchikov</surname><given-names>A. S.</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-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мунхбаяр</surname><given-names>Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Munkhbayar</surname><given-names>G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Улан-Батор</p></bio><bio xml:lang="en"><p>Ulan Bator</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Могилевцев</surname><given-names>Д. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Mogilevtsev</surname><given-names>D. S.</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">d.mogilevtsev@ifanbel.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 НАН 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><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Национальный университет Монголии</institution></aff><aff xml:lang="en"><institution>National University of Mongolia</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>15</day><month>11</month><year>2024</year></pub-date><volume>91</volume><issue>6</issue><fpage>788</fpage><lpage>798</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Корольков М.В., Ходасевич И.А., Грабчиков А.С., Мунхбаяр Г., Могилевцев Д.С., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Корольков М.В., Ходасевич И.А., Грабчиков А.С., Мунхбаяр Г., Могилевцев Д.С.</copyright-holder><copyright-holder xml:lang="en">Korolkov M.V., Khodasevich I.A., Grabtchikov A.S., Munkhbayar G., Mogilevtsev D.S.</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/1697">https://zhps.ejournal.by/jour/article/view/1697</self-uri><abstract><p>Исследованы спектры ап-конверсионной люминесценции (АКЛ) фторфосфатных стекол, допированных парой редкоземельных ионов (РЗИ) иттербия (4 %) и тулия (0.1 %), возбуждаемой излучением диодного лазера, работающего в стационарном режиме на длине волны 975 нм. Каждая  из наблюдаемых полос АКЛ является результатом проявления нескольких ап-конверсионных процессов (АКП), соответствующих люминесценции ионов тулия из различных возбужденных состояний. Эти АКП характеризуются различной степенью эффективной нелинейности (ЭН). Исследовано влияние мощности накачки на спектры АКЛ, сформированные АКП с различной ЭН. Продемонстрирована возможность выделения спектров, соответствующих отдельным АКП, из общего экспериментально измеренного спектра АКЛ фторфосфатного стекла, допированного парой РЗИ иттербия (4 %) и тулия (0.1 %). Разделение основано на вычислении ЭН по зависимостям АКЛ от мощности возбуждения.</p></abstract><trans-abstract xml:lang="en"><p>The up-conversion luminescence (UCL) spectra of fluorophosphate glasses doped with a pair of rareearth ions (REI) of ytterbium (4%) and thulium (0.1%) excited by radiation of a diode laser operating in a steady-state mode at wavelength of 975 nm are studied. Each of the observed UCL bands is a result of manifestation of several up-conversion processes (UCP) corresponding to luminescence of thulium ions from different excited states. These UCPs are characterized by different degrees of effective nonlinearity (EN). The effect of pump power on the UCL spectra formed by UCPs with different EN is studied. The possibility of separation of spectra corresponding to individual UCPs from the total experimentally measured UCL spectrum of fluorophosphate glass doped with a pair of REIs of ytterbium (4%) and thulium (0.1%) is demonstrated. The separation is based on the calculation of the EN based on the dependences of the UCL on the excitation power.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ап-конверсионные процессы</kwd><kwd>ап-конверсионная люминесценция</kwd><kwd>редкоземельный ион</kwd><kwd>нелинейность процесса</kwd><kwd>фторфосфатные стекла</kwd><kwd>спектральное разделение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>up-conversion processes</kwd><kwd>up-conversion luminescence</kwd><kwd>rare-earth ion</kwd><kwd>nonlinearity of the process</kwd><kwd>fluorophosphate glasses</kwd><kwd>spectral separation</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Белорусского республиканского фонда фундаментальных исследований (проект № Ф24МН-001).</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">F. Auzel. Chem. Rev., 104 (2004) 139—173</mixed-citation><mixed-citation xml:lang="en">F. Auzel. Chem. Rev., 104 (2004) 139—173</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">F. Auzel. J. Lumin., 223 (2020) 116900</mixed-citation><mixed-citation xml:lang="en">F. Auzel. J. Lumin., 223 (2020) 116900</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">J. Wright. Radiationless Processes in Molecules and Condensed Phases, Ed. F. K. Fong, series Topics in Applied Physics, Springer, New York, 15 (1976) 239—295</mixed-citation><mixed-citation xml:lang="en">J. Wright. Radiationless Processes in Molecules and Condensed Phases, Ed. F. K. Fong, series Topics  in Applied Physics, Springer, New York, 15 (1976) 239—295</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">A. Nadort, J. Zhao, E. M. Goldys. Nanoscale, 8, N 27 (2016) 13099—13130</mixed-citation><mixed-citation xml:lang="en">A. Nadort, J. Zhao, E. M. Goldys. Nanoscale, 8, N 27 (2016) 13099—13130</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">J. C. Goldchmidt, S. Fischer. Adv. Opt. Mater., 3 (2015) 510—535</mixed-citation><mixed-citation xml:lang="en">J. C. Goldchmidt, S. Fischer. Adv. Opt. Mater., 3 (2015) 510—535</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">V. Nazabal, J.-L. Adam. Opt. Mater., X15 (2022) 100168</mixed-citation><mixed-citation xml:lang="en">V. Nazabal, J.-L. Adam. Opt. Mater., X15 (2022) 100168</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">S. Zanella, M. A. Hernández-Rodríguez, L. Fu, R. Shi, L. D. Carlos, R. A. S. Ferreira, C. D. S. Brites. Adv. Opt. Mater., 11 (2023) 2301058</mixed-citation><mixed-citation xml:lang="en">S. Zanella, M. A. Hernández-Rodríguez, L. Fu, R. Shi, L. D. Carlos, R. A. S. Ferreira,  C. D. S. Brites. Adv. Opt. Mater., 11 (2023) 2301058</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">X. Li, F. Zhang, D. Zhao. Chem. Soc. Rev., 44 (2015) 1346—1378</mixed-citation><mixed-citation xml:lang="en">X. Li, F. Zhang, D. Zhao. Chem. Soc. Rev., 44 (2015) 1346—1378</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">L. Qiu, Y. Yang, G. Dong, D. Xia, M. Li, X. Fan, R. Fan. Appl. Surface Sci., 448 (2018) 145—153</mixed-citation><mixed-citation xml:lang="en">L. Qiu, Y. Yang, G. Dong, D. Xia, M. Li, X. Fan, R. Fan. Appl. Surface Sci., 448 (2018) 145—153</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">J. Zhou, Q. Liu, W. Feng, Y. Sun, F. Li. Chem. Rev., 115 (2015) 395—465</mixed-citation><mixed-citation xml:lang="en">J. Zhou, Q. Liu, W. Feng, Y. Sun, F. Li. Chem. Rev., 115 (2015) 395—465</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">T. F. Schulze, T. W. Schmidt. Energy Environ. Sci., 8 (2015) 103—125</mixed-citation><mixed-citation xml:lang="en">T. F. Schulze, T. W. Schmidt. Energy Environ. Sci., 8 (2015) 103—125</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">A. Shalav, B. S. Richards, M. A. Green. Solar Energy Mater. and Solar Cells, 91, N 9 (2007) 829—842</mixed-citation><mixed-citation xml:lang="en">A. Shalav, B. S. Richards, M. A. Green. Solar Energy Mater. and Solar Cells, 91, N 9 (2007)  829—842</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">J. Daniel, V. Fiorenzo. Nanoscale, 4, N 15 (2012) 4301—4326</mixed-citation><mixed-citation xml:lang="en">J. Daniel, V. Fiorenzo. Nanoscale, 4, N 15 (2012) 4301—4326</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">A. Nexha, J. J. Carvajal, M. C. Pujol, F. Diaz, M. Aguilo. Nanoscale, 13 (2021) 7913—7987</mixed-citation><mixed-citation xml:lang="en">A. Nexha, J. J. Carvajal, M. C. Pujol, F. Diaz, M. Aguilo. Nanoscale, 13 (2021) 7913—7987</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">X. Gao, D. Ju, X. Sang, J. Yang, Y. Zhang, F. Song. J. Lumin., 257 (2023) 119711</mixed-citation><mixed-citation xml:lang="en">X. Gao, D. Ju, X. Sang, J. Yang, Y. Zhang, F. Song. J. Lumin., 257 (2023) 119711</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">W. Yao, Q. Tian, W. Wu. Adv. Opt. Mater., 7 (2019) 1801171</mixed-citation><mixed-citation xml:lang="en">W. Yao, Q. Tian, W. Wu. Adv. Opt. Mater., 7 (2019) 1801171</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">M. You, J. Zhong, Y. Hong, Z. Duan, M. Lin, F. Xu. Nanoscale, 7 (2015) 4423—4431</mixed-citation><mixed-citation xml:lang="en">M. You, J. Zhong, Y. Hong, Z. Duan, M. Lin, F. Xu. Nanoscale, 7 (2015) 4423—4431</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">T. O. Sales, C. Jacinto, W. F. Silva, R. Antunes, D. T. Dias, A. Gonçalves, R. El-Mallawany, N. G. C. Astrath, A. Novatski. J. Alloy. Compd., 899 (2022) 163305</mixed-citation><mixed-citation xml:lang="en">T. O. Sales, C. Jacinto, W. F. Silva, R. Antunes, D. T. Dias, A. Gonçalves, R. El-Mallawany,  N. G. C. Astrath, A. Novatski. J. Alloy. Compd., 899 (2022) 163305</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">F. You, S. Zheng, T. Pang, L. Zeng, L. Lei, S. Lin, J. Zhang, T. Shen, F. Huang, D. Chen. Laser Photon. Rev. (2024) 2400838</mixed-citation><mixed-citation xml:lang="en">F. You, S. Zheng, T. Pang, L. Zeng, L. Lei, S. Lin, J. Zhang, T. Shen, F. Huang, D. Chen. Laser Photon. Rev. (2024) 2400838</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">X. Cheng, J. Luo, F. Rosei. Nano Mater. Sci. (2024), doi: org/10.1016/j.nanoms.2024.04.003</mixed-citation><mixed-citation xml:lang="en">X. Cheng, J. Luo, F. Rosei. Nano Mater. Sci. (2024), doi: org/10.1016/j.nanoms.2024.04.003</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">R. Scheps. Prog. Quant. Electron., 20 (1996) 271—358</mixed-citation><mixed-citation xml:lang="en">R. Scheps. Prog. Quant. Electron., 20 (1996) 271—358</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">M. F. Joubert. Opt. Mater., 11 (1999) 181—203</mixed-citation><mixed-citation xml:lang="en">M. F. Joubert. Opt. Mater., 11 (1999) 181—203</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">H. Scheife, G. Huber, E. Heumann, S. Bär. Opt. Materials, 26, N 4 (2004) 365—374</mixed-citation><mixed-citation xml:lang="en">H. Scheife, G. Huber, E. Heumann, S. Bär. Opt. Materials, 26, N 4 (2004) 365—374</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">X. Zhu, N. Peyghambarian. Adv. Optoelectron. (2010) 501956</mixed-citation><mixed-citation xml:lang="en">X. Zhu, N. Peyghambarian. Adv. Optoelectron. (2010) 501956</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">W. P. Risk, T. R. Gosnell, A. V. Nurmikko. In: Compact Blue-Green Lasers, Cambridge University Press (2003) 385—467, doi: org/10.1017/CBO9780511606502</mixed-citation><mixed-citation xml:lang="en">W. P. Risk, T. R. Gosnell, A. V. Nurmikko. In: Compact Blue-Green Lasers, Cambridge University Press (2003) 385—467, doi: org/10.1017/CBO9780511606502</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">A. Fernandez-Bravo, K. Yao, E. S. Barnard, N. J. Borys, E. S. Levy, B. Tian, C. A. Tajon, L. Moretti, M. V. Altoe, S. Aloni, K. Beketayev, F. Scotognella, B. E. Cohen, E. M. Chan, P. J. Schuck. Nature Nanotechnology, 13 (2018) 572—577</mixed-citation><mixed-citation xml:lang="en">A. Fernandez-Bravo, K. Yao, E. S. Barnard, N. J. Borys, E. S. Levy, B. Tian, C. A. Tajon,  L. Moretti, M. V. Altoe, S. Aloni, K. Beketayev, F. Scotognella, B. E. Cohen, E. M. Chan, P. J. Schuck. Nature Nanotechnology, 13 (2018) 572—577</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">C. Duan, L. Liang, L. Li, R. Zhang, Z. P. Xu. J. Mater. Chem. B, 6 (2018) 192—209</mixed-citation><mixed-citation xml:lang="en">C. Duan, L. Liang, L. Li, R. Zhang, Z. P. Xu. J. Mater. Chem. B, 6 (2018) 192—209</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">X. Zhu, Q. Su, W. Feng, F. Li. Chem. Soc. Rev., 46 (2017) 1025—1039</mixed-citation><mixed-citation xml:lang="en">X. Zhu, Q. Su, W. Feng, F. Li. Chem. Soc. Rev., 46 (2017) 1025—1039</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">S. Chen, A. Z. Weitemier, X. Zeng, L. He, X. Wang, Y. Tao, A. J. Y. Huang, Y. Hashimotodani, M. Kano, H. Iwasaki, L. K. Parajuli, S. Okabe, D. B. Loong Teh, A. H. All, I. Tsutsui-Kimura, K. F. Tanaka, X. Liu, T. J. McHugh. Science, 359 (2018) 679—684</mixed-citation><mixed-citation xml:lang="en">S. Chen, A. Z. Weitemier, X. Zeng, L. He, X. Wang, Y. Tao, A. J. Y. Huang, Y. Hashimotodani,  M. Kano, H. Iwasaki, L. K. Parajuli, S. Okabe, D. B. Loong Teh, A. H. All, I. Tsutsui-Kimura,  K. F. Tanaka, X. Liu, T. J. McHugh. Science, 359 (2018) 679—684</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Liu, Y. Lu, X. Yang, X. Zheng, S. Wen, F. Wang, X. Vidal, J. Zhao, D. Liu, Z. Zhou, C. Ma, J. Zhou, J. A. Piper, P. Xi, D. Jin. Nature, 543 (2017) 229—233</mixed-citation><mixed-citation xml:lang="en">Y. Liu, Y. Lu, X. Yang, X. Zheng, S. Wen, F. Wang, X. Vidal, J. Zhao, D. Liu, Z. Zhou, C. Ma,  J. Zhou, J. A. Piper, P. Xi, D. Jin. Nature, 543 (2017) 229—233</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">D. Jin, P. Xi, B. Wang, L. Zhang, J. Enderlein, A. M. van Oijen. Nature Methods, 15 (2018) 415—423</mixed-citation><mixed-citation xml:lang="en">D. Jin, P. Xi, B. Wang, L. Zhang, J. Enderlein, A. M. van Oijen. Nature Methods, 15 (2018)  415—423</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">C. Lee, E. Z. Xu, Y. Liu, A. Teitelboim, K. Yao, A. Fernandez-Bravo, A. M. Kotulska, S. H. Nam, Y. D. Suh, A. Bednarkiewicz, B. E. Cohen, E. M. Chan, P. J. Schuck. Nature, 589 (2021) 230—235</mixed-citation><mixed-citation xml:lang="en">C. Lee, E. Z. Xu, Y. Liu, A. Teitelboim, K. Yao, A. Fernandez-Bravo, A. M. Kotulska, S. H. Nam,  Y. D. Suh, A. Bednarkiewicz, B. E. Cohen, E. M. Chan, P. J. Schuck. Nature, 589 (2021) 230—235</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">J. Li, J. Zhang, Z. Hao, X. Zhang, J. Zhao, Y. Luo. J. Appl. Phys., 113 (2013) 223507</mixed-citation><mixed-citation xml:lang="en">J. Li, J. Zhang, Z. Hao, X. Zhang, J. Zhao, Y. Luo. J. Appl. Phys., 113 (2013) 223507</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">H. Zhang, Y. Li, Y. Lin, Y. Huang, X. Duan. Nanoscale, 3 (2011) 963—966</mixed-citation><mixed-citation xml:lang="en">H. Zhang, Y. Li, Y. Lin, Y. Huang, X. Duan. Nanoscale, 3 (2011) 963—966</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">D. A. Simpson, W. E. K Gibbs, S. F. Collins1, W. Blanc, B. Dussardier, G. Monnom, P. Peterka, G. W. Baxter. Opt. Express, 16 (2008) 13781—13799</mixed-citation><mixed-citation xml:lang="en">D. A. Simpson, W. E. K Gibbs, S. F. Collins1, W. Blanc, B. Dussardier, G. Monnom, P. Peterka,  G. W. Baxter. Opt. Express, 16 (2008) 13781—13799</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">A. Pal, A. Dhar, S. Das, K. Annapurna, A. Schwuchow, T. Sun, K. T. V. Grattan, R. Sen. J. Opt. Soc. Am., B27, N 4 (2010) 2714—2720</mixed-citation><mixed-citation xml:lang="en">A. Pal, A. Dhar, S. Das, K. Annapurna, A. Schwuchow, T. Sun, K. T. V. Grattan, R. Sen. J. Opt. Soc. Am., B27, N 4 (2010) 2714—2720</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">M. Quintanilla, N. O. Núñez, E. Cantelar, M. Ocaña, F. Cussó. Nanoscale, 3 (2011) 1046—1052</mixed-citation><mixed-citation xml:lang="en">M. Quintanilla, N. O. Núñez, E. Cantelar, M. Ocaña, F. Cussó. Nanoscale, 3 (2011) 1046—1052</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">F. Guëll, R. Solé, J. Gavaldà, M. Aguiló, M. Galán, F. Díaz, J. Massons. Opt. Mater., 30, N 2 (2007) 222—226</mixed-citation><mixed-citation xml:lang="en">F. Guëll, R. Solé, J. Gavaldà, M. Aguiló, M. Galán, F. Díaz, J. Massons. Opt. Mater., 30, N 2 (2007) 222—226</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">С. А. Буриков, E. A. Филиппова, A. А. Федянина, C. B. Кузнецов, В. Ю. Пройдакова, В. В. Воронов, Т. А. Доленко. Опт. и спектр., 130, N 6 (2022) 817—823</mixed-citation><mixed-citation xml:lang="en">С. А. Буриков, E. A. Филиппова, A. А. Федянина, C. B. Кузнецов, В. Ю. Пройдакова,  В. В. Воронов, Т. А. Доленко. Опт. и спектр., 130, N 6 (2022) 817—823</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">E. Kolobkova, A. Grabtchikov, I. Khodasevich. J. Non-Crystalline Solids X, 11-12 (2021) 100065</mixed-citation><mixed-citation xml:lang="en">E. Kolobkova, A. Grabtchikov, I. Khodasevich. J. Non-Crystalline Solids X, 11-12 (2021) 100065</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">A. Strzęp, M. Głowacki, M. Szatko, K. Potrząsaj, R. Lisiecki, W. Ryba-Romanowski. J. Lumin., 220 (2020) 116962</mixed-citation><mixed-citation xml:lang="en">A. Strzęp, M. Głowacki, M. Szatko, K. Potrząsaj, R. Lisiecki, W. Ryba-Romanowski. J. Lumin., 220 (2020) 116962</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">M. A. Noginov, M. Curley, P. Venkateswarlu, A. Williams. J. Opt. Soc. Am., B14, N 8 (1997) 2126—2136</mixed-citation><mixed-citation xml:lang="en">M. A. Noginov, M. Curley, P. Venkateswarlu, A. Williams. J. Opt. Soc. Am., B14, N 8 (1997) 2126—2136</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">X. Chen, Z. Song. J. Opt. Soc. Am., B24, N 4 (2007) 965—971</mixed-citation><mixed-citation xml:lang="en">X. Chen, Z. Song. J. Opt. Soc. Am., B24, N 4 (2007) 965—971</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">L. Guillemot, P. Loiko, J.-L. Doualan, A. Braud, P. Camy. Opt. Express, 30, N 18 (2022) 31669—31684</mixed-citation><mixed-citation xml:lang="en">L. Guillemot, P. Loiko, J.-L. Doualan, A. Braud, P. Camy. Opt. Express, 30, N 18 (2022)  31669—31684</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">М. В. Корольков, И. А. Ходасевич, А. С. Пиотух, А. С. Грабчиков, Е. В. Колобкова, Туй Ван Нгуен, Д. С. Могилевцев. Журн. прикл. спектр., 90, № 5 (2023) 689—695 [M. V. Korolkov, I. A. Khodasevich, A. S. Piotukh, A. S. Grabtchikov, E. V. Kolobkova, T. V. Nguyen, D. S. Mogilevtsev. J. Appl. Spectr., 90, N 5 (2023) 982—987]</mixed-citation><mixed-citation xml:lang="en">М. В. Корольков, И. А. Ходасевич, А. С. Пиотух, А. С. Грабчиков, Е. В. Колобкова, Туй Ван Нгуен, Д. С. Могилевцев. Журн. прикл. спектр., 90, № 5 (2023) 689—695 [M. V. Korolkov,  I. A. Khodasevich, A. S. Piotukh, A. S. Grabtchikov, E. V. Kolobkova, T. V. Nguyen,  D. S. Mogilevtsev. J. Appl. Spectr., 90, N 5 (2023) 982—987]</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">M. V. Korolkov, I. A. Khodasevich, A. S. Grabtchikov, V. A. Orlovich, D. S. Mogilevtsev. Appl. Sci. (2024) (в печати)</mixed-citation><mixed-citation xml:lang="en">M. V. Korolkov, I. A. Khodasevich, A. S. Grabtchikov, V. A. Orlovich, D. S. Mogilevtsev. Appl. Sci. (2024) (в печати)</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">K. N. Boldyrev, N. M. Abishev, I. E. Mumdzi, S. I. Nikitin, B. Z. Malkin, R. V. Yusupov, M. N. Popovа. Opt. Mater., X 14 (2022) 100155</mixed-citation><mixed-citation xml:lang="en">K. N. Boldyrev, N. M. Abishev, I. E. Mumdzi, S. I. Nikitin, B. Z. Malkin, R. V. Yusupov,  M. N. Popovа. Opt. Mater., X 14 (2022) 100155</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">W.-P. Qin, Z.-Y. Liu, C.-N. Sin, C.-F. Wu, G.-S. Qin, Z. Chen, K.-Z. Zheng. Light: Sci. Appl., 3 (2014) e193, doi: org/10.1038/lsa.2014.74</mixed-citation><mixed-citation xml:lang="en">W.-P. Qin, Z.-Y. Liu, C.-N. Sin, C.-F. Wu, G.-S. Qin, Z. Chen, K.-Z. Zheng. Light: Sci. Appl., 3 (2014) e193, doi: org/10.1038/lsa.2014.74</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">X. Domingo-Almenara, J. Brezmes, M. Vinaixa, S. Samino, N. Ramirez, M. Ramon-Kraue, C. Lerin, M. Díaz, L. Ibáñez, X. Correig, A. Perera-Lluna, O. Yanes. Anal. Chem., 88, N 19 (2016) 9821—9829</mixed-citation><mixed-citation xml:lang="en">X. Domingo-Almenara, J. Brezmes, M. Vinaixa, S. Samino, N. Ramirez, M. Ramon-Kraue,  C. Lerin, M. Díaz, L. Ibáñez, X. Correig, A. Perera-Lluna, O. Yanes. Anal. Chem., 88, N 19 (2016) 9821—9829</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">M. Riener, J. Kainulainen, J. D. Henshaw, J. H. Orkisz, C. E. Murray, H. Beuther. Astronomy &amp; Astrophysics, 628, A78 (2019)</mixed-citation><mixed-citation xml:lang="en">M. Riener, J. Kainulainen, J. D. Henshaw, J. H. Orkisz, C. E. Murray, H. Beuther. Astronomy &amp; Astrophysics, 628, A78 (2019)</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">G. Talsky. Derivative Spectrophotometry: Low and High Order, VCH (1994) ISBN 9783527282944</mixed-citation><mixed-citation xml:lang="en">G. Talsky. Derivative Spectrophotometry: Low and High Order, VCH (1994) ISBN 9783527282944</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">J. K. Kauppinen, D. J. Moffatt, H. H. Mantsch, D. G. Cameron. Appl. Spectrosc., 35, N 3 (1981) 271—276</mixed-citation><mixed-citation xml:lang="en">J. K. Kauppinen, D. J. Moffatt, H. H. Mantsch, D. G. Cameron. Appl. Spectrosc., 35, N 3 (1981)  271—276</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">B. Ruddick, A. Anis, K. Thompson. J. Atm. Ocean. Technol., 17, N 11 (2000) 1541—1555</mixed-citation><mixed-citation xml:lang="en">B. Ruddick, A. Anis, K. Thompson. J. Atm. Ocean. Technol., 17, N 11 (2000) 1541—1555</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">N. Dobigeon, S. Moussaoui, J.-Y. Tourneret, C. Carteret. Signal Proc., 89, N 12 (2009) 2657—2669</mixed-citation><mixed-citation xml:lang="en">N. Dobigeon, S. Moussaoui, J.-Y. Tourneret, C. Carteret. Signal Proc., 89, N 12 (2009) 2657—2669</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">A. Mikhalychev, S. Vlasenko, T. R. Payne, D. A. Reinhard, A. Ulyanenkov. Ultramicroscopy, 215 (2020) 113014</mixed-citation><mixed-citation xml:lang="en">A. Mikhalychev, S. Vlasenko, T. R. Payne, D. A. Reinhard, A. Ulyanenkov. Ultramicroscopy, 215 (2020) 113014</mixed-citation></citation-alternatives></ref><ref id="cit56"><label>56</label><citation-alternatives><mixed-citation xml:lang="ru">R. Helin, U. G. Indahl, O. Tomic, K. H. Liland. J. Chemometrics, 36, N 2 (2022) e3374</mixed-citation><mixed-citation xml:lang="en">R. Helin, U. G. Indahl, O. Tomic, K. H. Liland. J. Chemometrics, 36, N 2 (2022) e3374</mixed-citation></citation-alternatives></ref><ref id="cit57"><label>57</label><citation-alternatives><mixed-citation xml:lang="ru">B. P. Kore, A. Kumar, R. E. Kroon, J. J. Terblans, H. C. Swart. Opt. Mater., 99 (2020) 109511</mixed-citation><mixed-citation xml:lang="en">B. P. Kore, A. Kumar, R. E. Kroon, J. J. Terblans, H. C. Swart. Opt. Mater., 99 (2020) 109511</mixed-citation></citation-alternatives></ref><ref id="cit58"><label>58</label><citation-alternatives><mixed-citation xml:lang="ru">A. V. Mikheev, B. N. Kazakov. J. Lumin., 205 (2019) 167—178</mixed-citation><mixed-citation xml:lang="en">A. V. Mikheev, B. N. Kazakov. J. Lumin., 205 (2019) 167—178</mixed-citation></citation-alternatives></ref><ref id="cit59"><label>59</label><citation-alternatives><mixed-citation xml:lang="ru">E. Yu. Perlin, A. M. Tkachuk, M.-F. Joubert, R. Moncorge. Opt. and Spectrosc., 90, N 5 (2001) 772—781</mixed-citation><mixed-citation xml:lang="en">E. Yu. Perlin, A. M. Tkachuk, M.-F. Joubert, R. Moncorge. Opt. and Spectrosc., 90, N 5 (2001) 772—781</mixed-citation></citation-alternatives></ref><ref id="cit60"><label>60</label><citation-alternatives><mixed-citation xml:lang="ru">O. Silvestre, M. C. Pujol, M. Rico, F. Güell, M. Aguiló, F. Díaz. Appl. Phys. B, 87 (2007) 707—716</mixed-citation><mixed-citation xml:lang="en">O. Silvestre, M. C. Pujol, M. Rico, F. Güell, M. Aguiló, F. Díaz. Appl. Phys. B, 87 (2007) 707—716</mixed-citation></citation-alternatives></ref><ref id="cit61"><label>61</label><citation-alternatives><mixed-citation xml:lang="ru">G. Androz, M. Bernier, D. Faucher, R. Vallée. Opt. Express, 16, N 20 (2008) 16019—16031</mixed-citation><mixed-citation xml:lang="en">G. Androz, M. Bernier, D. Faucher, R. Vallée. Opt. Express, 16, N 20 (2008) 16019—16031</mixed-citation></citation-alternatives></ref><ref id="cit62"><label>62</label><citation-alternatives><mixed-citation xml:lang="ru">S. L. Maurizio, G. Tessitore, G. A. Mandl, J. A. Capobianco. Nanoscale Adv., 11 (2019) 4492</mixed-citation><mixed-citation xml:lang="en">S. L. Maurizio, G. Tessitore, G. A. Mandl, J. A. Capobianco. Nanoscale Adv., 11 (2019) 4492</mixed-citation></citation-alternatives></ref><ref id="cit63"><label>63</label><citation-alternatives><mixed-citation xml:lang="ru">T. Sun, X. Su, Y. Zhang, H. Zhang, Y. Zheng. Appl. Sci., 11 (2021) 10386</mixed-citation><mixed-citation xml:lang="en">T. Sun, X. Su, Y. Zhang, H. Zhang, Y. Zheng. Appl. Sci., 11 (2021) 10386</mixed-citation></citation-alternatives></ref><ref id="cit64"><label>64</label><citation-alternatives><mixed-citation xml:lang="ru">B. M. Walsh, N. P. Barnes, D. J. Reichle, S. Jiang. J. Non-Crystalline Solids, 352 (2006) 5344—5352</mixed-citation><mixed-citation xml:lang="en">B. M. Walsh, N. P. Barnes, D. J. Reichle, S. Jiang. J. Non-Crystalline Solids, 352 (2006) 5344—5352</mixed-citation></citation-alternatives></ref><ref id="cit65"><label>65</label><citation-alternatives><mixed-citation xml:lang="ru">P. Peterka, B. Faure, W. Blanc, M. Karásek, B. Dussardier. Opt. Quantum Electron., 36 (2004) 201—212</mixed-citation><mixed-citation xml:lang="en">P. Peterka, B. Faure, W. Blanc, M. Karásek, B. Dussardier. Opt. Quantum Electron., 36 (2004)  201—212</mixed-citation></citation-alternatives></ref><ref id="cit66"><label>66</label><citation-alternatives><mixed-citation xml:lang="ru">S. Kaniyarakkal, K. C. Rajasekharaudayar, R. Dagupati, Y. Li, S. Drewniak, Z. Chen, V. S. Nair, S. Edappadikkunnummal. Inorg. Chem. Commun., 158, Pt. 1 (2023) 111395</mixed-citation><mixed-citation xml:lang="en">S. Kaniyarakkal, K. C. Rajasekharaudayar, R. Dagupati, Y. Li, S. Drewniak, Z. Chen, V. S. Nair,  S. Edappadikkunnummal. Inorg. Chem. Commun., 158, Pt. 1 (2023) 111395</mixed-citation></citation-alternatives></ref><ref id="cit67"><label>67</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Zheng, L. Deng, J. Li, T. Jia, J. Qiu, Z. Sun, S. Zhang. Photon. Res., 7, N 4 (2019) 486—492</mixed-citation><mixed-citation xml:lang="en">Y. Zheng, L. Deng, J. Li, T. Jia, J. Qiu, Z. Sun, S. Zhang. Photon. Res., 7, N 4 (2019) 486—492</mixed-citation></citation-alternatives></ref><ref id="cit68"><label>68</label><citation-alternatives><mixed-citation xml:lang="ru">L. E. Batay, A. A. Demidovich, A. N. Kuzmin, A. N. Titov, M. Mond, S. Kück. Appl. Phys., B75 (2002) 457—461</mixed-citation><mixed-citation xml:lang="en">L. E. Batay, A. A. Demidovich, A. N. Kuzmin, A. N. Titov, M. Mond, S. Kück. Appl. Phys., B75 (2002) 457—461</mixed-citation></citation-alternatives></ref><ref id="cit69"><label>69</label><citation-alternatives><mixed-citation xml:lang="ru">M. F. Joubert, S. Guy, B. Jacquie. Phys. Rev. B, 48 (1993) 10031—10037</mixed-citation><mixed-citation xml:lang="en">M. F. Joubert, S. Guy, B. Jacquie. Phys. Rev. B, 48 (1993) 10031—10037</mixed-citation></citation-alternatives></ref><ref id="cit70"><label>70</label><citation-alternatives><mixed-citation xml:lang="ru">M. V. Korolkov, I. A. Khodasevich, A. S. Grabtchikov, D. Mogilevtsev, E. V. Kolobkova. Opt. Lett., 44, N 23 (2019) 5880—5883</mixed-citation><mixed-citation xml:lang="en">M. V. Korolkov, I. A. Khodasevich, A. S. Grabtchikov, D. Mogilevtsev, E. V. Kolobkova. Opt. Lett., 44, N 23 (2019) 5880—5883</mixed-citation></citation-alternatives></ref><ref id="cit71"><label>71</label><citation-alternatives><mixed-citation xml:lang="ru">M. V. Korolkov. J. Opt. Soc. Am., B37, N 11 (2020) 3239—3242</mixed-citation><mixed-citation xml:lang="en">M. V. Korolkov. J. Opt. Soc. Am., B37, N 11 (2020) 3239—3242</mixed-citation></citation-alternatives></ref><ref id="cit72"><label>72</label><citation-alternatives><mixed-citation xml:lang="ru">M. Pollnau, D. R. Gamelin, S. R. Lüthi, H. U. Güdel. Phys. Rev. B, 61 (2000) 3337—3346</mixed-citation><mixed-citation xml:lang="en">M. Pollnau, D. R. Gamelin, S. R. Lüthi, H. U. Güdel. Phys. Rev. B, 61 (2000) 3337—3346</mixed-citation></citation-alternatives></ref><ref id="cit73"><label>73</label><citation-alternatives><mixed-citation xml:lang="ru">J. F. Suyver, A. Aebischer, S. García-Revilla, P. Gerner, H. U. Güdel. Phys. Rev. B, 71 (2005) 125123</mixed-citation><mixed-citation xml:lang="en">J. F. Suyver, A. Aebischer, S. García-Revilla, P. Gerner, H. U. Güdel. Phys. Rev. B, 71 (2005) 125123</mixed-citation></citation-alternatives></ref><ref id="cit74"><label>74</label><citation-alternatives><mixed-citation xml:lang="ru">И. А. Ходасевич, А. А. Корниенко, П. П. Першукевич, В. А. Асеев, М. А. Ходасевич, А. С. Грабчиков. Журн. прикл. спектр., 84, № 6 (2017) 905—914</mixed-citation><mixed-citation xml:lang="en">I. A. Khodasevich, A. A. Kornienko, P. P. Pershukevich, V. A. Aseev, M. A. Khodasevich, A. S. Grabtchikov. J. Appl. Spectr., 84 (2017) 986—994]</mixed-citation></citation-alternatives></ref><ref id="cit75"><label>75</label><citation-alternatives><mixed-citation xml:lang="ru">P. Goldner, B. Schaude, M. Prassas. Phys. Rev. B, 65 (2002) 054103</mixed-citation><mixed-citation xml:lang="en">P. Goldner, B. Schaude, M. Prassas. Phys. Rev. B, 65 (2002) 054103</mixed-citation></citation-alternatives></ref><ref id="cit76"><label>76</label><citation-alternatives><mixed-citation xml:lang="ru">Y. Cho, S. W. Song, S. Y. Lim, J. H. Kim, C. R. Park, H. M. Kim. Phys. Chem. Chem. Phys., 19 (2017) 7326—7332</mixed-citation><mixed-citation xml:lang="en">Y. Cho, S. W. Song, S. Y. Lim, J. H. Kim, C. R. Park, H. M. Kim. Phys. Chem. Chem. Phys., 19 (2017) 7326—7332</mixed-citation></citation-alternatives></ref><ref id="cit77"><label>77</label><citation-alternatives><mixed-citation xml:lang="ru">F. Guëll, X. Mateos, Jna. Gavalda, R. Sole, M. Aguilo, F. Diaz, M. Galan, J. Massons. Opt. Mater., 25, N 1 (2004) 71—77</mixed-citation><mixed-citation xml:lang="en">F. Guëll, X. Mateos, Jna. Gavalda, R. Sole, M. Aguilo, F. Diaz, M. Galan, J. Massons. Opt. Mater., 25, N 1 (2004) 71—77</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>
