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In this work we introduce an effective approach to quantize the electromagnetic response of plasmonic metallic nanostructures. Their shape is arbitrary and they feature a realistic description of the frequency-dependent metal dielectric…

Chemical Physics · Physics 2025-12-17 Marco Romanelli , Gabriel Gil , Stefano Corni

The plasmon oscillations in a cluster of two metallic nanospheres are studied theoretically. Particular attention is paid to the case of nearly touching spheres. Simple analytical expressions have been found for the spectra of plasmon…

Optics · Physics 2007-05-23 V. V. Klimov , D. V. Guzatov

We present analytical expressions for the resonance frequencies of the plasmonic modes hosted in a cylindrical nanoparticle within the quasistatic approximation. Our theoretical model gives us access to both the longitudinally and…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Charles A. Downing , Guillaume Weick

Theoretical description of oscillations of electron liquid in large metallic nanospheres (with radius of few tens nm) is formulated within random-phase-approximation semiclassical scheme. Spectrum of plasmons is determined including both…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 W. Jacak , J. Krasnyj , J. Jacak , R. Gonczarek , A. Chepok , L. Jacak , D. Z. Hu , D. Schaadt

The random-phase-approximation semiclassical scheme for description of plasmon excitations in large metallic nanospheres, with radius range 10-60 nm, is formulated in an all-analytical version. The spectrum of plasmons is determined…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Jacak , J. Krasnyj , W. Jacak , R. Gonczarek , A. Chepok , L. Jacak

The random-phase-approximation semiclassical scheme for description of plasmon excitations in large metallic nanospheres (with radius 10--100 nm) is developed for a case of presence of dynamical electric field. The spectrum of plasmons in…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 W. Jacak , J. Krasnyj , J. Jacak , A. Chepok , L. Jacak , W. Donderowicz , D. Z. Hu , D. M. Schaadt

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

Simple analytic expressions for the polarizability of metallic nanoparticles are in wide use in the field of plasmonics, but their origins are not obvious. In this article, expressions for the polarizability of a particle are derived in the…

Optics · Physics 2016-09-15 William L. Barnes

We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low-frequency regime as a sum of modes oscillating at…

Mathematical Physics · Physics 2021-05-20 Habib Ammari , Pierre Millien , Alice L. Vanel

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

We develop a numerical method for approximating the surface modes of sphere-like nanoparticles in the quasi-static limit, based on an expansion of (the angular part of) the potentials into spherical harmonics. Comparisons of the results…

Optics · Physics 2010-08-02 Felix Rueting , Hannes Uecker

We investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. The polarization of the modes is in the array plane. A simplified eigen-decomposition method is presented with the help of rotational…

Optics · Physics 2012-12-11 Zi-Lan Deng , Jian-Wen Dong , He-Zhou Wang

We study the surface plasmon modes of an arbitrarily shaped nanoparticle in the electrostatic limit. We first deduce an eigenvalue equation for these modes, expressed in terms of the Dirichlet-Neumann operators. We then use the properties…

Mathematical Physics · Physics 2009-03-09 Daniel Grieser , Felix Rüting

Nanosciences largely rely on plasmons which are quasiparticles constituted by collective oscillations of quantum electron gas composed of conduction band electrons that occupy discrete quantum states. Our work has introduced…

Mesoscale and Nanoscale Physics · Physics 2024-04-03 Aakash A. Sahai

Plasmonics, the science and technology of the interaction of light with metallic objects, is fundamentally changing the way we can detect, generate and manipulate light. Although the field is progressing swiftly, thanks to the availability…

We study modulational instability in nonlinear arrays of subwavelength metallic nanoparticles, and analyze numerically nonlinear scenarios of the instability development. We demonstrate that modulational instability can lead to the…

Optics · Physics 2012-06-01 Roman E. Noskov , Pavel A. Belov , Yuri S. Kivshar

We theoretically investigate electron energy loss spectroscopy (EELS) of metallic nanoparticles in the optical frequency domain. Using a quasistatic approximation scheme together with a plasmon eigenmode expansion, we show that EELS can be…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Anton Hörl , Andreas Trügler , Ulrich Hohenester

In this paper we study, in the time domain, the interaction between localized surface plasmons and photons in arbitrarily shaped metal nanoparticles, by using the Hopfield approach to quantize the plasmon modes, where the electron…

Multipolar plasmon oscillation frequencies and corresponding damping rates for nanospheres formed of the simplest free-electron metals are studied. The possibility of controlling plasmon features by choosing the size and dielectric…

Optics · Physics 2008-04-15 A. Derkachova , K. Kolwas

We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the…

Mathematical Physics · Physics 2021-02-11 Lorenzo Baldassari , Pierre Millien , Alice L. Vanel
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