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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 7, Pages 1305–1313 (Mi zvmmf11793)

This article is cited 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

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.

UDC: 519.63

Received: 21.03.2024

DOI: 10.31857/S0044466924070131


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:7, 1587–1594

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© Steklov Math. Inst. of RAS, 2026