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It is pointed out that the usual derivation of the well-known Maxwell electromagnetic equations holds only for a medium at rest. A way in which the equations may be modified for the case when the mean flow of the medium is steady and…

综合物理 · 物理学 2007-05-23 J. Dunning-Davies

Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on…

斑图形成与孤子 · 物理学 2007-05-23 Kristof Kaly-Kullai

We derive the invariant imbedding equations for plane electromagnetic waves propagating in stratified magnetic media, where both dielectric and magnetic permeabilities vary in one spatial direction in an arbitrary manner. These equations…

凝聚态物理 · 物理学 2007-05-23 Kihong Kim , H. Lim , Dong-Hun Lee

This note offers a conceptually straightforward and efficient way to formulate and solve problems in the electromagnetics of moving media based on a representation of Maxwell's equations in terms of differential forms on spacetime together…

数学物理 · 物理学 2015-05-27 C E S Canovan , Robin W Tucker

We examine the response of a plane wave incident on a flat surface of a medium characterized by simultaneously negative electric and magnetic susceptibilities by solving Maxwell's equations explicitly and without making any assumptions on…

光学 · 物理学 2008-10-28 Antonia Chimonidou , E. C. G. Sudarshan

We study the massless limit of the Klein-Gordon (K-G) equation in 1+1 dimensions with static complex potentials as an attempt to give an alternative, but equivalent, representation of plane electromagnetic (em) wave propagation in active…

无序系统与神经网络 · 物理学 2009-11-11 H. Bahlouli , A. D. Alhaidari , A. Al-Zahrani , E. N. Economou

The axion photon system in an external magnetic field, when for example considered with the geometry of the experiments exploring axion photon mixing, displays a continuous axion-photon duality symmetry in the limit the axion mass is…

高能物理 - 理论 · 物理学 2008-11-26 E. I. Guendelman

Models that invoke nonlinear wavefront propagation in a chemically excitable medium are rife in the biological literature. Indeed, the idea that wavefront propagation can serve as a signaling mechanism has often been invoked to explain…

软凝聚态物质 · 物理学 2014-11-20 Timon Idema , Andrea J. Liu

We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the…

光学 · 物理学 2009-11-10 Kihong Kim , Dong-Hun Lee , H. Lim

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…

软凝聚态物质 · 物理学 2021-01-26 Vladislav A. Yastrebov

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all…

计算物理 · 物理学 2020-02-18 Johan Helsing , Anders Karlsson

In this paper the author studies the problem of the homogenization of a diffusion perturbed by a periodic reflection invariant vector field. The vector field is assumed to have fixed direction but varying amplitude. The existence of a…

偏微分方程分析 · 数学 2007-05-23 Joseph G. Conlon

In this contribution, we re-assess some aspects of axionic electrodynamics by coupling non-linear electromagnetic effects to axion physics. We present a number of motivations to justify the coupling of the axion to the photon in terms of a…

高能物理 - 唯象学 · 物理学 2022-10-27 J. M. A. Paixão , L. P. R. Ospedal , M. J. Neves , J. A. Helayël-Neto

The propagation of waves in highly inhomogeneous media is a problem of interest in multiple fields including seismology, acoustics and electromagnetism. It is also relevant for technological applications such as the design of sound…

无序系统与神经网络 · 物理学 2013-05-29 Antonio M. Garcia-Garcia , Emilio Cuevas

We considered the wave propagation between two medias. For description of physical model choose nonlinear Schredinger equation with saturation parameter. The solutions of respectively equation are found and analyzed.

斑图形成与孤子 · 物理学 2007-05-23 Dmitry Levko

Electromagnetic waves in a dynamical axion background exhibit superluminal group velocities at high frequencies and instabilities at low frequencies, altering how photons propagate through space. Local disturbances propagate causally, but…

高能物理 - 唯象学 · 物理学 2021-01-04 Peter Adshead , Patrick Draper , Benjamin Lillard

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

统计力学 · 物理学 2009-10-31 F. Igloi , L. Turban , H. Rieger

The properties of the modified Maxwell electrodynamics (ModMax) are investigated in presence of external and uniform electric and magnetic fields. We expand the non-linear theory around an electromagnetic background up to second order in…

高能物理 - 理论 · 物理学 2023-04-20 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

It is widely believed that axions are ubiquitous in string theory and could be the dark matter. The peculiar features of the axion dark matter are coherent oscillations and a coupling to the electromagnetic field through the Chern-Simons…

高能物理 - 理论 · 物理学 2018-04-24 Daiske Yoshida , Jiro Soda

The concept of gauge invariance in classical electrodynamics assumes tacitly that Maxwell's equations have unique solutions. By calculating the electromagnetic field of a moving particle both in Lorenz and in Coulomb gauge and directly from…

经典物理 · 物理学 2007-05-23 Wolfgang Engelhardt