<article 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" article-type="research-article" dtd-version="1.2" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">Journal of Experimental and Theoretical Physics</journal-id><journal-title-group><journal-title>Journal of Experimental and Theoretical Physics</journal-title></journal-title-group><issn publication-format="print">0044-4510</issn><issn publication-format="electronic">3034-641X</issn><publisher><publisher-name>Russian Academy of Science</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.31857/S0044451023120015</article-id><title-group><article-title>“Dark” States As a Particular Case of the Emission Spectrum of an Exceptional Surface Wave</article-title><trans-title-group xml:lang="ru"><trans-title>«Темные» состояния как частный случай спектра излучения особой поверхностной волны</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Sukhorukova</surname><given-names>O. S.</given-names></name><name xml:lang="ru"><surname>Сухорукова</surname><given-names>О. С. </given-names></name></name-alternatives><email>sukhorukova_o_s_noemail@ras.ru</email><xref ref-type="aff" rid="aff-1"></xref><xref ref-type="aff" rid="aff-2"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Tarasenko</surname><given-names>A. S.</given-names></name><name xml:lang="ru"><surname>Тарасенко</surname><given-names>А. С. </given-names></name></name-alternatives><email>tarasenko_a_s_noemail@ras.ru</email><xref ref-type="aff" rid="aff-3"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Tarasenko</surname><given-names>S. V.</given-names></name><name xml:lang="ru"><surname>Тарасенко</surname><given-names>С. В. </given-names></name></name-alternatives><email>tarasenko_s_v_noemail@ras.ru</email><xref ref-type="aff" rid="aff-5"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Shavrov</surname><given-names>V. G.</given-names></name><name xml:lang="ru"><surname>Шавров</surname><given-names>В. Г. </given-names></name></name-alternatives><email>shavrov_v_g_noemail@ras.ru</email><xref ref-type="aff" rid="aff-7"></xref></contrib></contrib-group><aff-alternatives id="aff-1"><aff><institution xml:lang="ru">Донецкий государственный университет;Донецкий физико-технический институт им. А. А. Галкина</institution><institution xml:lang="en">Faculty of Physics and Technology, Donetsk State University;Galkin Institute for Physics and Engineering</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff><institution xml:lang="ru"></institution><institution xml:lang="en"></institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff><institution xml:lang="ru">Донецкий физико-технический институт им. А. А. Галкина</institution><institution xml:lang="en">Galkin Institute for Physics and Engineering</institution></aff></aff-alternatives><aff-alternatives id="aff-5"><aff><institution xml:lang="ru">Донецкий физико-технический институт им. А. А. Галкина</institution><institution xml:lang="en">Galkin Institute for Physics and Engineering</institution></aff></aff-alternatives><aff-alternatives id="aff-7"><aff><institution xml:lang="ru">Институт радиотехники и электроники им. В. А. Котельникова Российской академии наук</institution><institution xml:lang="en">Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-12-01" publication-format="electronic"><day>01</day><month>12</month><year>2023</year></pub-date><volume>164</volume><issue>6</issue><fpage>874</fpage><lpage>884</lpage><abstract xml:lang="en"><p>Under conditions of total internal reflection (TIR) of a plane bulk electromagnetic wave incident from outside on the surface of an optically transparent layered structure, the case where the numerator and denominator of the input surface wave impedance turn simultaneously to zero may correspond to the formation of a “dark” state. This is related to the occurrence of a point of degeneracy of the spectra of leaking exceptional surface waves (ESWs) of the first and second kind against the background of the continuous spectrum of radiative modes. For these waves, the instantaneous energy flux through the interface with a semibounded optical denser medium in an open radiative channel is zero at any instant. When approaching the point of dark state occurrence, the local maxima of the effects of first-order nonspecular reflection, accompanying resonant excitation of leaky ESWs, unlimitedly increase.</p></abstract><trans-abstract xml:lang="ru"><p>В случае полного внутреннего отражения плоской объемной электромагнитной волны, падающей извне на поверхность оптически прозрачной слоистой структуры, одновременное обращение в нуль числителя и знаменателя входного поверхностного волнового импеданса может отвечать формированию «темного» состояния. Это связано с появлением на фоне сплошного спектра излучательных мод точки вырождения спектров вытекающих особых поверхностных волн первого и второго типа. Для этих волн мгновенный поток энергии через границу раздела c полуограниченной оптически более плотной средой в открытом канале излучения равен нулю в любой момент времени. При приближении к точке реализации «темного» состояния локальные максимумы эффектов незеркального отражения первого порядка, сопровождающих резонансное возбуждение вытекающих особых поверхностных волн, неограниченно возрастают.</p></trans-abstract></article-meta></front><body></body><back><ref-list><ref id="B1"><label>B1</label><citation-alternatives><mixed-citation xml:lang="ru">J. von Neuman and E. Wigner, Z. Phys. 30, 467 (1929).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B2"><label>B2</label><citation-alternatives><mixed-citation xml:lang="ru">S. I. Azzam and A. V. Kildishev, Adv. Opt. Mater. 9, 2001469 (2021).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B3"><label>B3</label><citation-alternatives><mixed-citation xml:lang="ru">C. W. Hsu, B. Zhen, A. D. Stone et al., Nature Reviews Materials 1, 16048 (2016).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B4"><label>B4</label><citation-alternatives><mixed-citation xml:lang="ru">M. I. Molina, A. E. Miroshnichenko, Y. S. Kivshar, Phys. Rev. Lett. 108, 070401 (2012).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B5"><label>B5</label><citation-alternatives><mixed-citation xml:lang="ru">J. Gomis-Bresco, D. Artigas, and L. Torner, Nature Photonics 11, 232 (2017).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B6"><label>B6</label><citation-alternatives><mixed-citation xml:lang="ru">S. Mukherjee, J. Gomis-Bresco, P. Pujol-Closa et al., Phys. Rev. A 98, 063826 (2018).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B7"><label>B7</label><citation-alternatives><mixed-citation xml:lang="ru">S. Mukherjee, J. Gomis-Bresco, P. Pujol-Closa et al., Optics Lett. 44, 5362 (2019).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B8"><label>B8</label><citation-alternatives><mixed-citation xml:lang="ru">S. Mukherjee, J. Gomis-Bresco, D. Artigas et al., Optics Lett. 46, 2545 (2021).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B9"><label>B9</label><citation-alternatives><mixed-citation xml:lang="ru">S. Mukherjee, D. Artigas, and L. Torner, Phys. Rev. B 105, L201406 (2022).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B10"><label>B10</label><citation-alternatives><mixed-citation xml:lang="ru">T. Tamir, A. A. Oliner, Proc. IEEE 110, 310 (1963).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B11"><label>B11</label><citation-alternatives><mixed-citation xml:lang="ru">А. И. Базь, Я. Б. Зельдович, А. М. Переломов Рассеяние, реакции и распады в нерелятивистской квантовой механике, Наука, Москва (1966).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B12"><label>B12</label><citation-alternatives><mixed-citation xml:lang="ru">Ф. И. Федоров Оптика анизотропных сред, Изд. 2, УРСС, Москва (2004).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B13"><label>B13</label><citation-alternatives><mixed-citation xml:lang="ru">M. Rybin and Y. Kivshar, Nature 541, 164 (2017).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B14"><label>B14</label><citation-alternatives><mixed-citation xml:lang="ru">T. Tamir and H. L. Bertoni, J. Opt. Soc. Am. 61, 1397 (1971).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B15"><label>B15</label><citation-alternatives><mixed-citation xml:lang="ru">Л. М. Бреховских, Волны в слоистых средах. Изд-во АН СССР, Москва (1957).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B16"><label>B16</label><citation-alternatives><mixed-citation xml:lang="ru">Ч. С. Ким, А. М. Сатанин,Ю.С.Джо и др., ЖЭТФ 116, 263 (1999).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B17"><label>B17</label><citation-alternatives><mixed-citation xml:lang="ru">H. Friedrich and D. Wintgen, Phys. Rev. A 32, 3231 (1985).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B18"><label>B18</label><citation-alternatives><mixed-citation xml:lang="ru">Д. В. Кулагин, А. С. Савченко, А. С. Тарасенко, др., Письма в ЖЭТФ 95, 253 (2012).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B19"><label>B19</label><citation-alternatives><mixed-citation xml:lang="ru">Ю. В. Гуляев, С. В. Тарасенко, В. Г.Шавров, УФН 190, 933 (2020).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B20"><label>B20</label><citation-alternatives><mixed-citation xml:lang="ru">В. И. Альшиц, В. Н. Любимов, А.Радович, ЖЭТФ 131, 14 (2007).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B21"><label>B21</label><citation-alternatives><mixed-citation xml:lang="ru">М. А. Миллер, В.И. Таланов, Изв. вузов. Радиофизика 4, 795 (1961).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B22"><label>B22</label><citation-alternatives><mixed-citation xml:lang="ru">С. В. Бирюков, Ю. В. Гуляев, В. В. Крылов, В. П. Плесский Поверхностные акустические волны в неоднородных средах. Наука, Главная редакция физ.-мат. литературы, Москва (1991).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B23"><label>B23</label><citation-alternatives><mixed-citation xml:lang="ru">И. А. Викторов, Звуковые поверхностные волны в твердых телах, Наука, Москва (1981).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B24"><label>B24</label><citation-alternatives><mixed-citation xml:lang="ru">D. Chauvat, O. Emile, F. Bretenaker et al., Phys. Rev. Lett. 84, 71 (2000).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B25"><label>B25</label><citation-alternatives><mixed-citation xml:lang="ru">В. Н. Любимов, Д. Г. Санников, ФТТ 14, 675 (1972).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B26"><label>B26</label><citation-alternatives><mixed-citation xml:lang="ru">Л. Г. Нарышкина, М. Е. Герценштейн, Изв. вузов. Радиофизика 10, 91(1967).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B27"><label>B27</label><citation-alternatives><mixed-citation xml:lang="ru">Х. Хаус, Волны и поля в оптоэлектронике, Мир, Москва (1988).</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref></ref-list></back></article>