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We study a symmetric BEM-FEM coupling scheme for the scattering of transient acoustic waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field. An incident wave in free space interacts with the obstacles and produces a…

Numerical Analysis · Mathematics 2016-08-24 Matthew E. Hassell , Francisco-Javier Sayas

We propose new electromagnetic surface waves at the interface formed by connecting a perfect electric conductor (PEC) and a perfect magnetic conductor (PMC) parallel plate waveguides containing materials with positive permittivities and…

Optics · Physics 2024-10-29 Seong-Han Kim , Chul-Sik Kee

Coupled electromagnetic waves propagating in a waveguide array are discussed. This waveguide array can be considered as one dimensional photon crystal composed from the unit cell containing three different waveguides, namely, two positive…

Pattern Formation and Solitons · Physics 2015-05-20 Andrei Maimistov

We present a nanoscale active plasmonic waveguide system consisting of an array of periodic slits that can exhibit exceptional points and spectral singularities leading to several novel functionalities. The proposed symmetric active system…

Optics · Physics 2019-02-20 Ying Li , Christos Argyropoulos

We express the electromagnetic field propagating in an arbitrary time-independent non-dispersive medium in terms of an operator that turns out to be pseudo-Hermitian for Hermitian dielectric and magnetic permeability tensors Epsilon and Mu.…

Optics · Physics 2009-11-13 Ali Mostafazadeh , Farhang Loran

We consider the waveguiding by thin patterned slabs embedded in a homogeneous medium. In the longwave limit, the wave spectra of slabs are found to be well described by a single frequency-independent parameter, which we call the "guiding…

Optics · Physics 2007-09-28 Serge Luryi , Arsen V. Subashiev

We consider a sub-wavelength periodic layered medium whose slabs are filled by arbitrary linear metamaterials and standard nonlinear Kerr media and we show that the homogenized medium behaves as a Kerr medium whose parameters can assume…

Optics · Physics 2013-05-29 A. Ciattoni , C. Rizza , E. Palange

We propose a new radiation condition for an infinite inhomogeneous two-dimensional medium which is periodic in the vertical direction and remains invariant in the horizontal direction. The classical Rayleigh-expansion radiation condition…

Analysis of PDEs · Mathematics 2025-11-04 Guanghui Hu , Andreas Rathsfeld , Jiayi Zhang , Ruming Zhang

It is of interest to study a wavelet system with a minimum number of generators. It has been showed by X. Dai, D. R. Larson, and D. M. Speegle in [11] that for any $d\times d$ real-valued expansive matrix M, a homogeneous orthonormal…

Functional Analysis · Mathematics 2010-02-12 Bin Han

Heterogeneous materials such as biological tissue scatter light in random, yet deterministic, ways. Wavefront shaping can reverse the effects of scattering to enable deep-tissue microscopy. Such methods require either invasive access to the…

Computational Physics · Physics 2024-08-12 Laurynas Valantinas , Tom Vettenburg

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such…

Analysis of PDEs · Mathematics 2020-12-10 Fang Zeng , Shixu Meng

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

We introduce a solid material that is itself invisible, possessing identical electromagnetic properties as air (i.e. not a cloak) at a desired frequency. Such a material could provide improved mechanical stability, electrical conduction and…

Optics · Physics 2016-02-17 Dexin Ye , Ling Lu , John D. Joannopoulos , Marin Soljačić , Lixin Ran

The electromagnetic scattering from interconnections of high-permittivity dielectric thin wires with sizes smaller than (or almost equal to) the operating wavelength is investigated. A simple lumped element model for the polarization…

Classical Physics · Physics 2021-07-14 Carlo Forestiere , Giovanni Miano , Bruno Miranda

In order to simulate elastic wave propagation in a complex structure with inhomogeneous media, we often need to obtain the propagating eigenmodes of an elastic waveguide. As the waveguide is assumed uniform in one direction, the original…

Computational Physics · Physics 2021-08-18 An Qi Ge , Ming Wei Zhuang , Jie Liu , Qing Huo Liu

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

Mathematical Physics · Physics 2014-05-12 Sönke Hansen

We propose a first principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero-band gap. Our theory confirms that near the K-point the dynamics of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Sylvain Lannebère , Mário G. Silveirinha

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

We estimate the electromagnetic fields generated by a cluster of dielectric nanoparticles embedded into a background made of a vacuum. The dielectric nanoparticles are small scaled but enjoy high contrast of their relative permittivity.…

Analysis of PDEs · Mathematics 2022-09-09 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

Generation of wake fields by a short electromagnetic pulse in a plasma with an inhomogeneous background magnetic field and density profile is considered, and a wave equation is derived. Transmission and reflection coefficients are…

Plasma Physics · Physics 2009-11-07 Martin Servin , Gert Brodin