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In this paper, we turn our attention to light propagation in three-dimensional electrodynamics. More specifically, we investigate the behavior of light rays in a continuous bi-dimensional hypothetical medium living in a three-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Érico Goulart , Eduardo Bittencourt , Elliton O. S. Brandão

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an isotropic linear dielectric material, with randomly…

Mathematical Physics · Physics 2013-10-21 Ricardo Alonso , Liliana Borcea

In General Relativity, the propagation of electromagnetic waves is usually described by the vacuum Maxwell's equations on a fixed curved background. In the limit of infinitely high frequencies, electromagnetic waves can be localized as…

General Relativity and Quantum Cosmology · Physics 2019-04-23 Marius A. Oancea , Claudio F. Paganini , Jérémie Joudioux , Lars Andersson

In anisotropic crystals, Maxwell's equations permit only birefringence for the propagation of light. Notwithstanding, multirefringent systems comprising more than two propagating modes exist, such as in electron optics and photonic…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 József Cserti , Áron Holló , László Oroszlány

The theory of gauge transformations in linearized gravitation is investigated. After a brief discussion of the fundamentals of the kinetic theory in curved spacetime, the Einstein-Vlasov-Maxwell system of equations in terms of gauge…

Plasma Physics · Physics 2024-08-06 Lucas Bourscheidt , Fernando Haas

An alternate set of equations to describe the electrodynamics of superconductors at a macroscopic level is proposed. These equations resemble equations originally proposed by the London brothers but later discarded by them. Unlike the…

Strongly Correlated Electrons · Physics 2009-11-10 J. E. Hirsch

We show that linear superpositions of plane waves involving a single-valued, covariantly stable dispersion relation $\omega(k)$ always propagate outside the lightcone, unless $\omega(k) =a+b k$. This implies that there is no notion of…

High Energy Physics - Theory · Physics 2024-04-18 Lorenzo Gavassino , Marcelo M. Disconzi , Jorge Noronha

The propagation of plasma waves in a new non-linear, logarithmic electrodynamics model is performed. A cold, uniform, collisionless fluid plasma model is applied. Electrostatic waves in magnetized plasma are shown to correspond to modified…

In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathematical properties of the models. A particular attention is…

Analysis of PDEs · Mathematics 2017-03-16 Maxence Cassier , Patrick Joly , Maryna Kachanovska

Recently, Feigel has predicted a new effect in magnetoelectric media. The theoretical evaluation of this effect requires a careful analysis of a dynamics of the moving magnetoelectric medium and, in particular, the derivation of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yuri N. Obukhov , Friedrich W. Hehl

We derive the full linear-response theory for non-relativistic quantum electrodynamics in the long wavelength limit, show quantum modifications of the well-known Maxwell's equation in matter and provide a practical framework to solve the…

Quantum Physics · Physics 2025-12-23 Johannes Flick , Davis M. Welakuh , Michael Ruggenthaler , Heiko Appel , Angel Rubio

We extend the Einstein-Maxwell-axion theory including into the Lagrangian cross-terms of the dynamo-optical type, which are quadratic in the Maxwell tensor, linear in the covariant derivative of the macroscopic velocity four-vector, and…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Alexander B. Balakin , Timur Yu. Alpin

We present a general description of the propagation properties of quantum gravity modified electrodynamics characterized by constitutive relations up to second order in the correction parameter. The effective description corresponds to an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Santiago A. Martinez , R. Montemayor , Luis F. Urrutia

The equations for the electromagnetic field in an anisotropic media are written in a form containing only the transverse field components relative to a half plane boundary. The operator corresponding to this formulation is the…

Mathematical Physics · Physics 2009-08-11 B. L. G. Jonsson

Combining a generalized current in the set of Maxwell's equations offers a useful framework to address the complex phenomena of electromagnetic turbulence. The fluidic-electromagnetic analogy implies that diffraction is the analog…

Classical Physics · Physics 2022-02-15 Mario J. Pinheiro

This paper offers an informal instructive introduction to some of the main notions of geometric continuum mechanics for the case of smooth fields. We use a metric invariant stress theory of continuum mechanics to formulate a simple…

Mathematical Physics · Physics 2023-12-14 Reuven Segev

This article offers a new approach for analysing the dynamic behaviour of distributions of charged particles in an electromagnetic field. After discussing the limitations inherent in the Lorentz-Dirac equation for a single point particle a…

Accelerator Physics · Physics 2007-05-23 David A. Burton , Jonathan Gratus , Robin W. Tucker

Light scattering in random media is usually considered within the framework of the three-dimensional Anderson universality class, with modifications for the vector nature of electromagnetic waves. We propose that the linear dispersiveness…

Disordered Systems and Neural Networks · Physics 2025-08-05 Tobias Micklitz , Alexander Altland

A new formulation of electromagnetism based on linear differential commutator brackets is developed. Maxwell equations are derived, using these commutator brackets, from the vector potential $\vec{A}$, the scalar potential $\phi$ and the…

General Physics · Physics 2012-03-21 Arbab I. Arbab , Faisal A. Yassein

Coupling the Maxwell tensor to the Riemann-Christoffel curvature tensor is shown to lead to a geometricized theory of electrodynamics. While this geometricized theory leads directly to the classical Maxwell equations, it also extends their…

General Physics · Physics 2024-01-11 Raymond J. Beach