danДоклады Национальной академии наук БеларусиDoklady of the National Academy of Sciences of Belarus1561-83232524-2431The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-8323-2026-70-5-370-382dan-1330Research ArticleФИЗИКАPHYSICSУсиление электромагнитного поля двумерным массивом сферических наночастиц серебра в поглощающей матрицеEnhancement of electromagnetic field by a two-dimensional array of spherical silver nanoparticles in an absorbing matrixМискевичА. А.MiskevichA. A.

Мискевич Александр Амуратович – канд. физ.-мат. наук, вед. науч. сотрудник

пр. Независимости, 68-2, 220072, Минск 

Miskevich Alexander A. – Ph. D. (Physics and Mathematics), Leading Researcher

68-2, Nezavisimosti Ave., 220072, Minsk

miskevic@ifanbel.bas-net.byЛойкоН. А.LoikoN. A.

Лойко Наталия Александровна – д-р физ.-мат. наук, профессор, гл. науч. сотрудник

пр. Независимости, 68-2, 220072, Минск 

Loiko Natalia A. – D. Sc. (Physics and Mathematics), Professor, Chief Researcher

68-2, Nezavisimosti Ave., 220072, Minsk

n.loiko@ifanbel.bas-net.byЛойкоВ. А.LoikoV. A.

Лойко Валерий Александрович – д-р физ.-мат. наук, профессор, гл. науч. сотрудник

пр. Независимости, 68-2, 220072, Минск 

Loiko Valery A. – D. Sc. (Physics and Mathematics), Professor, Chief Researcher

68-2, Nezavisimosti Ave., 220072, Minsk

loiko@ifanbel.bas-net.byИнститут физики имени Б. И. Степанова Национальной академии наук БеларусиБеларусьB. I. Stepanov Institute of Physics of the National Academy of Sciences of BelarusBelarus202613112026705370382Copyright © Мискевич А.А., Лойко Н.А., Лойко В.А., 20262026Мискевич А.А., Лойко Н.А., Лойко В.А.Miskevich A.A., Loiko N.A., Loiko V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.belnauka.by/jour/article/view/1330

Получено решение задачи определения плотностей энергий электрического и магнитного полей, формируемых двумерным массивом сферических частиц, находящихся в светопоглощающей среде, в окрестности их поверхности при падении плоской электромагнитной волны по нормали. Оно основано на статистическом описании пространственного распределения частиц в массиве с использованием радиальных функций распределения, квазикристаллическом приближении теории многократного рассеяния волн и мультипольном разложении полей и тензорной функции Грина по векторным сферическим волновым функциям. Рассмотрено усиление полей в такой системе относительно их величин в среде без введения в нее массива частиц. Исследовано влияние на данный эффект показателя поглощения среды и типа пространственной упорядоченности массива. Результаты расчетов отлично согласуются с данными численного моделирования методом конечных элементов.

The solution is obtained for determining electric and magnetic field energy densities formed by a twodimensional array of spherical particles located in a light-absorbing medium near their surface, at normal incidence of a plane electromagnetic wave. It is based on the statistical description of spatial distribution of particles in an array using the radial distribution functions, quasi-crystalline approximation of the theory of multiple scattering of waves, and multipole expansion of fields and tensor Green’s function in terms of vector spherical wave functions. The amplification of fields in such a system is considered relative to their values in the medium without introducing an array of particles. The influence of the absorption index of the medium and the type of spatial ordering of the array on this effect was investigated. The calculation results are in excellent agreement with the data from numerical simulation using the finite element method.

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The authors declare that there are no conflicts of interest present.