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We develop a consistent quantum description of surface plasmons interacting with quantum emitters and external electromagnetic field. Within the framework of macroscopic electrodynamics in dispersive and absorptive medium, we derive, in the…

Mesoscale and Nanoscale Physics · Physics 2021-01-21 Tigran V. Shahbazyan

We review the properties of the surface waves that are scattered by two-dimensional sub-wavelength indentations on metallic surfaces. We show that two distinct waves are involved, a surface plasmon polariton (SPP) and a quasi-cylindrical…

Other Condensed Matter · Physics 2009-09-14 P. Lalanne , J. P. Hugonin , H. T. Liu , B. Wang

We study the interaction between two charge regulating spherical macroions with dielectric interior and dissociable surface groups immersed in a monovalent electrolyte solution. The charge dissociation is modelled via the…

Soft Condensed Matter · Physics 2023-12-11 Hu Ruixuan , Arghya Majee , Jure Dobnikar , Rudolf Podgornik

We report a numerical investigation of surface plasmon (SP) propagation in ordered and disordered linear chains of metal nanospheres. In our simulations, SPs are excited at one end of a chain by a near-field tip. We then find numerically…

Optics · Physics 2007-05-23 Vadim A. Markel , Andrey K. Sarychev

We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of $p$-Laplacian type with nonlinear boundary conditions posed in metric random walk spaces. These spaces include, among others,…

Analysis of PDEs · Mathematics 2024-05-24 Marcos Solera , Julián Toledo

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

Statistical Mechanics · Physics 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

Surface electric (charge) noise influences spin defects due to fluctuation of the surface charge density and also the electrostatic potential at the crystal surface. Surprisingly, the two-point correlation function of both the charged…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Denis R. Candido , Michael E. Flatté

We report dissipative surface solitons forming at the interface between a semi-infinite lattice and a homogeneous Kerr medium. The solitons exist due to balance between amplification in the near-surface lattice channel and two-photon…

In the present paper the linearized problem of half-space plasma oscillations in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the plasma…

Mathematical Physics · Physics 2011-03-15 N. V. Gritsienko , A. V. Latyshev , A. A. Yushkanov

We explain the Lorentz resonances in plasmonic crystals that consist of 2D nano dielectric inclusions as the interaction between resonant material properties and geometric resonances of electrostatic nature. One example of such plasmonic…

Optics · Physics 2021-12-22 Wei Li , Robert Lipton , Matthias Maier

While important for many industrial applications, chemical reactions responsible for charging of solids in water are often poorly understood. We theoretically investigate the charging kinetics of solid-liquid interfaces, and find that the…

Soft Condensed Matter · Physics 2023-02-08 Willem Boon , Marjolein Dijkstra , René van Roij

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

Metallic nano-structures characterised by multiple geometric length scales support low-frequency surface-plasmon modes, which enable strong light localization and field enhancement. We suggest studying such configurations using singular…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Ory Schnitzer

In this letter, we study the scattering of light by a single subwavelength slit in a metal screen. In contrast to previous theoretical works, we provide a microscopic description of the scattering process by emphasizing the generation of…

Optics · Physics 2009-11-11 P. Lalanne , J. P. Hugonin , J. C. Rodier

We introduce a new class of growth models, with a surface restructuring mechanism in which impinging particles may dislodge suspended particles, previously aggregated on the same column in the deposit. The flux of these particles is…

Statistical Mechanics · Physics 2013-03-14 J. S. Oliveira Filho , T. J. Oliveira , J. A. Redinz

We report theoretical evidence that bulk nonlinear materials weakly interacting with highly localized plasmonic modes in ultra-sub-wavelength metallic nanostructures can lead to nonlinear effects at the single plasmon level in the visible…

Mesoscale and Nanoscale Physics · Physics 2017-04-27 Filippo Alpeggiani , Stefania D'Agostino , Daniele Sanvitto , Dario Gerace

In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer is described by a kinetic equation introduced in [9] and…

Analysis of PDEs · Mathematics 2013-06-20 Stéphane Brull , Pierre Charrier , Luc Mieussens

The magnetic dipole absorption cross section of a spherically shaped metal particle was calculated in terms of kinetic approach. The particle considered was placed in the field of a plane electromagnetic wave. The model of boundary…

Mesoscale and Nanoscale Physics · Physics 2014-03-10 I. A. Kuznetsova , M. E. Lebedev , A. A. Yushkanov

By an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial dimensions (3D) at zero temperature. Our goal is…

Mathematical Physics · Physics 2026-04-16 Dionisios Margetis

We study the properties of electromagnetic Bloch waves in semi-infinite periodic structures created by alternating metamaterial and dielectric layers. We derive and analyze the dispersion relations in the long-wavelength limit for both TE-…

Optics · Physics 2009-12-16 Slobodan M. Vukovic , Ilya V. Shadrivov , Yuri S. Kivshar
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