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We consider time-harmonic electromagnetic wave equations in composites of a dispersive material surrounded by a classical material. In certain frequency ranges this leads to sign-changing permittivity and/or permeability. Previously meshing…

数值分析 · 数学 2021-04-20 Martin Halla

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

高能天体物理现象 · 物理学 2026-04-15 Maxim Lyutikov

We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium with a real-valued negative permittivity/permeability which models a metal at optical frequency or an ideal negative metamaterial. We…

偏微分方程分析 · 数学 2013-11-27 Lucas Chesnel , Xavier Claeys , Sergey A. Nazarov

We develop a field-theoretic framework, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a…

数学物理 · 物理学 2025-07-21 David Gaspard , Arthur Goetschy

This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with non-null Riemann curvature tensor. After discussing the electromagnetism via chiral…

经典物理 · 物理学 2008-07-11 R. da Rocha , I. L. Freire

We determine conditions under which a generic gauge invariant nonautonomous and inhomogeneous nonlinear partial differential equation in the two-dimensional space-time continuum can be transform into standard autonomous forms. In addition…

数学物理 · 物理学 2012-07-19 Alex Mahalov , Sergei K. Suslov

The premetric approach to electrodynamics provides a unified description of a wide class of electromagnetic phenomena. In particular, it involves axion, dilaton and skewon modifications of the classical electrodynamics. This formalism…

高能物理 - 理论 · 物理学 2009-11-13 Yakov Itin

The propagation of a wave in a medium is generally affected when the medium is moving with respect to the observer. Because plasma equilibria often involve plasma flows, for instance in astrophysics or in magnetic confinement nuclear fusion…

等离子体物理 · 物理学 2024-07-22 Aymeric Braud , Julien Langlois , Renaud Gueroult

We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are developed for the corresponding variable-coefficient…

数值分析 · 数学 2013-07-18 Manuel Quezada de Luna David I. Ketcheson

The spectral decomposition of the elastic wave operator in a layered isotropic half-space is derived by means of standard functional analytic methods. Particular attention is paid to the coupled $P$-$SV$ waves. The problem is formulated…

地球物理 · 物理学 2010-11-17 Ludovic Margerin

Stationary scattering of TE and TM waves propagating in an isotropic medium with planar symmetry is described by Bergmann's equation in one dimension. This is a generalization of Helmholtz equation which allows for developing transfer…

光学 · 物理学 2025-10-21 Farhang Loran , Ali Mostafazadeh , Cem Yetişmişoğlu

We consider space-times with two isometries which represent gravitational waves with distinct wavefronts which propagate into exact Friedmann-Robertson-Walker (FRW) universes. The geometry of possible wavefronts is analysed in detail in all…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Jiri Bicak , Jerry B. Griffiths

For the system of Maxwell equations of electromagnetism in an $l$-periodic composite medium of overall size $L$ ($0<l<L<\infty$), in the low-frequency quasistatic approximation, we develop an electromagnetic version of strain-gradient…

数学物理 · 物理学 2015-11-19 Kirill D. Cherednichenko , James A. Evans

We discuss a mechanism for intense electromagnetic wave emission at an astrophysical relativistic shock in a magnetized collisionless plasma. At the magnetized shock, the particle reflection by a compressed magnetic field of the shock…

高能天体物理现象 · 物理学 2019-02-19 Takanobu Amano , Masanori Iwamoto , Yosuke Matsumoto , Masahiro Hoshino

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

其他凝聚态物理 · 物理学 2025-10-28 Yury Solyaev

This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of the literature. First, we prove qualitative stochastic…

偏微分方程分析 · 数学 2025-04-07 Elise Bonhomme , Mitia Duerinckx , Antoine Gloria

The propagation of electromagnetic waves through disordered layered system is considered in the paradigm of Maxwell's equations homogenization. In spite of the impossibility to describe the system in terms of effective dielectric…

经典物理 · 物理学 2019-01-23 Alexander M. Merzlikin , Roman S. Puzko

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

软凝聚态物质 · 物理学 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

We investigate the reflection and refraction behaviors of electromagnetic waves at the interface between an isotropic material and the anisotropic medium with a unique dispersion relation. We show that the refraction angle of whether phase…

光学 · 物理学 2009-11-11 Weixing Shu , Hailu Luo , Fei Li , Zhongzhou Ren

Magnetoelectric coupling in multiferroic materials opens new routes to control the propagation of light. The new effects arise due to dynamic magnetoelectric susceptibility that cross-couples the electric and magnetic fields of light and…

材料科学 · 物理学 2019-10-14 D. Szaller , A. Shuvaev , A. A. Mukhin , A. M. Kuzmenko , A. Pimenov