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In this chapter, criteria for existence of propagating optical modes which are transversely bound at the interface of two materials are studied. In particular, quite general cases are considered, where the materials involved are assumed to…

Optics · Physics 2017-09-19 Nahid Talebi

The curved spacetime Maxwell equations are applied to the anisotropically expanding Kasner metrics. Using the application of vector identities we derive 2$^\textrm{nd}$-order differential wave equations for the electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Brett Bochner

We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty…

Numerical Analysis · Mathematics 2019-01-29 S. Geevers , W. A. Mulder , J. J. W. van der Vegt

We present a semi-analytical model that predicts the excitation of surface-plasmon polaritons (SPP) on a graphene sheet located in front of a sub-wavelength slit drilled in thick metal screen. We identify the signature of the SPP in the…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 D. C. Pedrelli , B. S. C. Alexandre , N. M. R. Peres

We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic representation formula for the scattered wave away from the thin…

Analysis of PDEs · Mathematics 2020-10-05 Yves Capdeboscq , Roland Griesmaier , Marvin Knöller

We propose a general method to arbitrarily manipulate an electromagnetic wave propagating in a two-dimensional medium, without introducing any scattering. This leads to a whole class of isotropic spatially varying permittivity and…

We develop a full-wave electromagnetic (EM) theory for calculating the multipole decomposition in two-dimensional (2-D) structures consisting of isolated, arbitrarily shaped, inhomogeneous, anisotropic cylinders or a collection of such. To…

In this paper, a three-dimensional Dirichlet-to-Neumann (DtN) finite element method (FEM) is developed to analyze the scattering of Lamb and SH guided waves due to a symmetric cavity defect in an isotropic infinite plate. During the finite…

Numerical Analysis · Mathematics 2025-01-09 Chen Yang , Junichi Nakaoka , Sohichi Hirose

We study the TE polarized electromagnetic surface wave propagating along the interface between materials with positive and negative magnetic permeability. Contrary to the TM polarized surface wave, the TE surface wave exhibits almost no…

Materials Science · Physics 2010-09-28 T. Vary , P. Markos

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

Optics · Physics 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

A multifield asymptotic homogenization technique for periodic thermo-diffusive elastic materials is provided in the present study. Field equations for the first-order equivalent medium are derived and overall constitutive tensors are…

Fluid Dynamics · Physics 2020-02-27 Francesca Fantoni , Andrea Bacigalupo

We analytically examine propagation of surface plasmon polaritons (SPPs) at a thin metallic film between glass substrate and electromagnetically-induced-transparency (EIT) medium. High-precision and high-resolution in frequency domain…

This paper is withdrawn by the authors. We theoretically examine graphene plasmon polaritons (GPP) supported by a sheet of graphene sandwiched between two dielectric media. The influence of the dielectric environment on GPP's is studied…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Thomas Christensen , Antti-Pekka Jauho , N. Asger Mortensen

A comprehensive analysis of hybrid TM-TE polarized surface electromagnetic waves supported by different few-layer anisotropic metasurfaces is presented. A generalized 4$\times$4 T-matrix formalism for arbitrary anisotropic 2D layers is…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. V. Kotov , Yu. E. Lozovik

The present work describes some extensions of an approach, originally developed by V.V. Yatsyk and the author, for the theoretical and numerical analysis of scattering and radiation effects on infinite plates with cubically polarized…

Mathematical Physics · Physics 2026-02-04 Lutz Angermann

Long-lived and ultra-confined plasmons in two-dimensional (2D) electron systems may provide a sub-wavelength diagnostic tool to investigate localized dielectric, electromagnetic, and pseudo-electromagnetic perturbations. In this Article, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Iacopo Torre , Mikhail I. Katsnelson , Alberto Diaspro , Vittorio Pellegrini , Marco Polini

The pseudo-potential method is applied to derive diverse propagating electron hole structures, in a nonthermal or $\kappa$ particle distribution function background. The associated distribution function Ansatz reproduces the Schamel…

Plasma Physics · Physics 2021-08-11 Fernando Haas

Surface plasmon polaritons (SPPs) give an opportunity to break the diffraction limit and design nanoscale optical components, however their practical implementation is hindered by high ohmic losses in a metal. Here, we propose a novel…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Dmitry A. Svintsov , Aleksey V. Arsenin , Dmitry Yu. Fedyanin

Using a multiple-scale asymptotic approach, we have derived the complex cubic Ginzburg-Landau equation for amplified and nonlinearly saturated surface plasmon polaritons propagating and diffracting along a metal-dielectric interface. An…

Optics · Physics 2015-03-13 A. Marini , D. V. Skryabin

The WKB equations for dynamics of the surface plasmon polariton (SPP) wavepacket are studied. The dispersion law for the SPP in the metal-dielectric heterostructure with varying thickness of a perforated dielectric layer is rigorously…

Other Condensed Matter · Physics 2015-05-18 V. I. Belotelov , D. A. Bykov , L. L. Doskolovich , A. K. Zvezdin