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We present a scheme for numerically solving Maxwell's equations in a weakly perturbed spacetime without introducing the usual geometric optics approximation. Using this scheme, we study light propagation through a spherical perturbation of…

广义相对论与量子宇宙学 · 物理学 2025-05-20 Annamalai P. Shanmugaraj , Erik Schnetter , Sofie Marie Koksbang

The investigation of the diffusive transport of charged particles in a turbulent magnetic field remains a subject of considerable interest. Research has most frequently concentrated on determining the diffusion coefficient in the presence…

A k-space method for nonlinear wave propagation in absorptive media is presented. The Westervelt equation is first transferred into k-space via Fourier transformation, and is solved by a modified wave-vector time-domain scheme [Mast et al.,…

数学物理 · 物理学 2014-01-03 Yun Jing , Greg. T. Clement

In this paper, it is proved that the continuity of the tangential components of the average electric and magnetic fields is insufficient to describe the reflection of plane waves by a set of thin parallel wires embedded in a dielectric host…

材料科学 · 物理学 2009-11-11 Mario G. Silveirinha

We analyze the Axion Electrodynamics in a two-dimensional slab of finite width $L$ containing a homogeneous and isotropic dielectric medium with constant permittivity and permeability. We start from the known decomposition of modes in the…

高能物理 - 理论 · 物理学 2024-11-25 Iver Brevik , Masud Chaichian , Amedeo M. Favitta

Axion dark matter is converted to electromagnetic radiations in the presence of strong magnetic field. The radiations possibly give rise to non trivial phenomena in condensed matter physics. Especially, we discuss that saturation of…

高能物理 - 唯象学 · 物理学 2023-10-31 Aiichi Iwazaki

This work presents a generalized physical interpretation of unconventional dispersion asymmetries associated moving elastic solids. By shifting the notion from systems with time-variant material fields to physically traveling materials, the…

应用物理 · 物理学 2019-01-15 M. A. Attarzadeh , M. Nouh

In curved spacetime, Maxwell's equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations. The electric and magnetic (EM) fields depend…

广义相对论与量子宇宙学 · 物理学 2023-12-25 Jai-chan Hwang , Hyerim Noh

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

We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wave speed. We restrict to problems with spherical symmetry and…

数值分析 · 数学 2020-06-30 Stefan Sauter , Céline Torres

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic…

偏微分方程分析 · 数学 2018-02-06 Yi-Hsuan Lin , Shixu Meng

We consider two semi-infinite magnetoelectric media with constant dielectric permittivity separated by a planar interface, whose electromagnetic response is described by non-dynamical axion electrodynamics and investigate the radiation of a…

其他凝聚态物理 · 物理学 2022-11-08 O. J. Franca , Luis F. Urrutia

We are interested in the homogenization of energy like quantities in electromagnetism. We prove a general propagation Theorem for H-measures associated to Maxwell's system, in the full space $\Omega =\R^{3}$, without boundary conditions. We…

偏微分方程分析 · 数学 2007-05-23 Hassan Taha

We investigate the propagation of a charged particle in a spatially constant but time dependent pseudoscalar background. Physically this pseudoscalar background could be provided by a relic axion density. The background leads to an explicit…

高能物理 - 唯象学 · 物理学 2015-05-20 Domenec Espriu , Albert Renau

Recalling the similarities between the Maxwell equations for a transverse electric wave in a stratified medium and the quantum mechanical Schroedinger equation in a piece-wise potential, we investigate the analog of the so called particle…

量子物理 · 物理学 2009-02-18 Stefano De Leo , Pietro Rotelli

The problem of a particle diffusion in a fluctuating scalar field is studied. In contrast to most studies of advection diffusion in random fields we analyze the case where the particle position is also coupled to the dynamics of the field.…

统计力学 · 物理学 2011-12-30 David S. Dean , V. Demery

We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low-frequency regime as a sum of modes oscillating at…

数学物理 · 物理学 2021-05-20 Habib Ammari , Pierre Millien , Alice L. Vanel

In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to…

经典物理 · 物理学 2016-03-02 Giuseppe Rosi , Nicolas Auffray

Finding reliably and efficiently the spectrum of the resonant states of an optical system under varying parameters of the medium surrounding it is a technologically important task, primarily due to various sensing applications.…

光学 · 物理学 2023-09-28 S. F. Almousa , E. A. Muljarov

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

偏微分方程分析 · 数学 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov