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This work is concerned with the propagation of electromagnetic waves in isotropic chiral media and with the effects produced by a plane boundary between two such media. In analogy with the phenomena of reflection and refraction of plane…

Optics · Physics 2007-05-23 Jose F. Nieves , Palash B. Pal

We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the…

Analysis of PDEs · Mathematics 2019-07-04 Yuri A. Godin , Boris Vainberg

We analytically compute a localization criterion in double scattering approximation for a set of dielectric spheres or perfectly conducting disks uniformly distributed in a spatial volume which can be either spherical or layered. For every…

Optics · Physics 2009-10-31 C. Ordenovic , G. Berginc , C. Bourrely

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

Soft Condensed Matter · Physics 2021-01-26 Vladislav A. Yastrebov

We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation…

Mathematical Physics · Physics 2024-03-12 Jean-Luc Akian , Éric Savin

The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of…

Pattern Formation and Solitons · Physics 2020-12-10 A. Yu. Okulov

The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial is considered. If the group velocities dispersion is not taken into account, then wave propagation can be described either by the…

Pattern Formation and Solitons · Physics 2022-11-04 A. I. Maimistov

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.

Analysis of PDEs · Mathematics 2008-11-10 M. M. Cavalcanti , V. N. Domingos Cavalcanti , R. Fukuoka , J. A. Soriano

We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. The response to a short mechanical excitation on one side of…

Statistical Mechanics · Physics 2007-05-23 Ellak Somfai , Jean-Noel Roux , Jacco H. Snoeijer , Martin van Hecke , Wim van Saarloos

We consider the scattering problem on locally perturbed periodic penetrable dielectric layers, which is formulated in terms of the full vector-valued time-harmonic Maxwell's equations. The right-hand side is not assumed to be periodic. At…

Analysis of PDEs · Mathematics 2019-08-23 Alexander Konschin

In the absence of confinement localization of waves takes place due to randomness or nonlinearity and relies on their phase coherence. We quantitatively probe the sensitivity of localized wave packets to random phase fluctuations and…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. Rayanov , G. Radons , S. Flach

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

Optics · Physics 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

The propagation of waves in soft dielectric elastomer layers is investigated. To this end incremental motions superimposed on homogeneous finite deformations induced by bias electric fields and pre-stretch are determined. First we examine…

Soft Condensed Matter · Physics 2011-11-22 Gal Shmuel , Massimiliano Gei , Gal deBotton

We study the propagation of classical electromagnetic waves on the simplest four-dimensional spherically symmetric metric with a dilaton background field. Solutions to the relevant equations are obtained perturbatively in a parameter which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Roberto Casadio , Sergio Fabi , Benjamin Harms

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne

Wave localization is a ubiquitous phenomenon. It refers to situations that transmitted waves in scattering media are trapped in space and remain confined in the vicinity of the initial site until dissipated. Based on a scaling analysis, the…

Soft Condensed Matter · Physics 2007-05-23 Zhen Ye

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

Mathematical Physics · Physics 2015-06-18 Alexander G. Ramm

In this paper an analytical approach for calculating scattering matrix elements for the case of normal incidence of the plane electromagnetic waves on the square patch-type Frequency Selective Surface (FSS), which is placed at the interface…

Classical Physics · Physics 2020-02-17 A. O. Tuzov

We study quantum diffusion of wavepackets in one-dimensional random binary subject to an applied electric field. We consider three different cases: Periodic, random, and random dimer (paired) lattices. We analyze the spatial extent of…

Condensed Matter · Physics 2007-05-23 F. Dominguez-Adame , A Sanchez , E Diez
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