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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1305–1313
DOI: https://doi.org/10.31857/S0044466924070131
(Mi zvmmf11793)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

Comparative analysis of the influence of surface quantum effects on optical characteristics of alkali and noble metallic nanoparticles

Yu. A. Eremin, V. V. Lopushenko

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia
Full-text PDF Citations (2)
Abstract: The discrete sources method is used to develop a mathematical model for comparative analysis of the influence exerted on the optical properties of alkaline and noble metal nanoparticles placed in a dense outer medium when the bulk and surface quantum effects are taken into account. A substantial difference between the manifestations of the bulk and surface quantum effects in alkaline particles is demonstrated. Specifically, in the case of the bulk quantum effect, the surface plasmon resonance in alkaline particles exhibits a shift toward shorter wavelengths (blue shift), while the surface effect leads to a shift toward longer wavelengths (red shift). It is shown that this shift depends substantially on the outer medium density and can reach 50 nm in the spectral range.
Key words: discrete sources method, mathematical models, quantum nanoplasmonics, Maxwell’s equations, mesoscopic boundary conditions, surface response functions, alkali and noble metals.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
This work was supported by the Ministry of Science and Higher Education of the Russian Federation within the program of the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2022-284.
Received: 21.03.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1587–1594
DOI: https://doi.org/10.1134/S0965542524700611
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: Yu. A. Eremin, V. V. Lopushenko, “Comparative analysis of the influence of surface quantum effects on optical characteristics of alkali and noble metallic nanoparticles”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1305–1313; Comput. Math. Math. Phys., 64:7 (2024), 1587–1594
Citation in format AMSBIB
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\by Yu.~A.~Eremin, V.~V.~Lopushenko
\paper Comparative analysis of the influence of surface quantum effects on optical characteristics of alkali and noble metallic nanoparticles
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1305--1313
\mathnet{http://mi.mathnet.ru/zvmmf11793}
\crossref{https://doi.org/10.31857/S0044466924070131}
\elib{https://elibrary.ru/item.asp?id=75206877}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1587--1594
\crossref{https://doi.org/10.1134/S0965542524700611}
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  • https://www.mathnet.ru/eng/zvmmf/v64/i7/p1305
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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