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Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

光学 · 物理学 2012-08-20 Ulrich Brosa

In the extension of Maxwell equations based on the Aharonov-Bohm Lagrangian the e.m. field has an additional degree of freedom, namely a scalar field generated by charge and currents that are not locally conserved. We analyze the…

经典物理 · 物理学 2023-05-29 F. Minotti , G. Modanese

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

光学 · 物理学 2024-04-16 Mingjie Li , S. A. R. Horsley

The features of propagation of intense waves are of great interest for theory and experiment in electrodynamics and acoustics. The behavior of nonlinear waves in a bounded volume is of especial importance and, at the same time, is an…

经典物理 · 物理学 2013-06-05 E. Yu. Petrov , A. V. Kudrin

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

偏微分方程分析 · 数学 2016-01-05 Liliana Borcea , Josselin Garnier

A cold relic axion condensate resulting from vacuum misalignment in the early universe oscillates with a frequency m, where m is the axion mass. We determine the properties of photons propagating in a simplified version of such a background…

高能物理 - 唯象学 · 物理学 2013-05-30 Domenec Espriu , Albert Renau

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

光学 · 物理学 2017-01-09 R. J. Churchill , T. G. Philbin

The axion modified electrodynamics is usually used as a model for description of possible violation of Lorentz invariance in field theory. The low-energy manifestation of Lorentz violation can hopefully be observed in experiments with the…

高能物理 - 理论 · 物理学 2008-11-26 Yakov Itin

Characterizing electromagnetic wave propagation in nonlinear and inhomogeneous media is of great interest from both theoretical and practical perspectives, even though it is extremely complicated. In fact, it is still an unresolved issue to…

经典物理 · 物理学 2017-04-28 Liang Hu , Xiao Zhang , Dazhi Zhao , MaoKang Luo

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

In this thesis, 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 2024-08-09 Jefferson Mendes Aguiar Paixão

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves…

偏微分方程分析 · 数学 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets

We consider a semi-infinite dielectric with multiple spatially dispersive resonances in the susceptibility. The effect of the boundary is described by an arbitrary reflection coefficient for polarization waves in the material at the…

光学 · 物理学 2017-05-10 R. J. Churchill , T. G. Philbin

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

光学 · 物理学 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

Spatially dispersive (also known as non-local) electromagnetic media are considered where the parameters defining the permittivity relation vary periodically. Maxwell's equations give rise to a difference equation corresponding to the…

经典物理 · 物理学 2015-03-23 Jonathan Gratus , Matthew McCormack

Theoretical and computational study of reflection and refraction of electromagnetic waves with $p$-polarized and normal incidence electric wave amplitude vector on anisotropic, inhomogeneous and linear medium has been done. The medium used…

光学 · 物理学 2012-03-09 Andri S. Husein , Roniyus MS , Sri W. Suciyati

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

We are concerned with the inverse scattering problem of recovering an inhomogeneous medium by the associated acoustic wave measurement. We prove that under certain assumptions, a single far-field pattern determines the values of a…

偏微分方程分析 · 数学 2020-05-05 Emilia Blåsten , Hongyu Liu

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

数学物理 · 物理学 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

The interaction of a fermion with the dense axion medium is investigated for the purpose of finding an axion medium effect on the fermion dispersion. It is shown that axion medium influence on the fermion dispersion under astrophysical…

高能物理 - 唯象学 · 物理学 2008-12-18 N. V. Mikheev , E. N. Narynskaya