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We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Kozameh , Florencia Parisi

We review the propagation of electromagnetic waves in continuous matter in the presence of Lorentz-violating terms. First, we briefly discuss classical electrodynamics with regard to optical properties of a dielectric medium exhibiting the…

High Energy Physics - Theory · Physics 2024-12-05 Manoel M. Ferreira , Pedro D. S. Silva , Marco Schreck

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite transverse point-vector fields with discrete and localized point interactions. These fields are taken as…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we show its well-posedeness, its strong and polynomial stability…

Analysis of PDEs · Mathematics 2021-05-28 Simon Labrunie , Ibtissem Zaafrani

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…

Classical Physics · Physics 2019-01-23 Alexander M. Merzlikin , Roman S. Puzko

We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Falko Pientka , Inti Sodemann Villadiego

A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

Plasma Physics · Physics 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

We present a novel general framework to deal with forward and backward components of the electromagnetic field in axially-invariant nonlinear optical systems, which include those having any type of linear or nonlinear transverse…

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

The classical free-space solutions of Maxwell's equations for light propagation in one dimension include wave packets of any shape that travel at the speed of light. This includes highly-localised wave packets that remain localised at all…

Quantum Physics · Physics 2022-09-19 Daniel Hodgson , Jake Southall , Robert Purdy , Almut Beige

In this paper we prove the propagation of singularities for the wave equation on differential forms with natural (i.e. relative or absolute) boundary conditions on Lorentzian manifolds with corners, which in particular includes a…

Analysis of PDEs · Mathematics 2009-06-15 Andras Vasy

It is proven that in the lossless case the electrodynamics of a generic inhomogeneous possibly bianisotropic and nonreciprocal system may be described by an augmented state-vector whose time evolution is determined by a Hermitian operator.…

Optics · Physics 2019-01-10 Mario G. Silveirinha

A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes - volumes that nevertheless contain a large number…

Optics · Physics 2014-04-10 Masud Mansuripur

This paper presents a coordinate free pre-metric formulation of charge free Maxwell-Minkowski electrodynamics, and of the developed by the authors non-linear Extended Electrodynamics. First we introduce some formal relations from…

Mathematical Physics · Physics 2016-04-01 Stoil Donev , Maria Tashkova

The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs)…

High Energy Physics - Theory · Physics 2018-07-04 Rodolfo Casana , Manoel M. Ferreira, , Letícia Lisboa-Santos , Frederico E. P. dos Santos , Marco Schreck

It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous medium in 3D can sometimes be governed well by a single PDE, which is derived from the Maxwell's equations. The corresponding component of…

Classical Physics · Physics 2021-02-05 Vladimir G. Romanov , Michael V. Klibanov

Last year physicists in Europe have measured the velocity of the neutrinos particles. They found the neutrinos moving faster than the speed of light in vacuum. This result means that Einstein's relativity principle and its consequences in…

General Physics · Physics 2012-02-09 Pavel Mednis

We study the electromagnetic properties of a system that consists of an electron background and a neutrino gas that may be moving or at rest, as a whole, relative to the background. The photon self-energy for this system is characterized by…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jose' F. Nieves , Sarira Sahu

We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yuri N. Obukhov , Guillermo F. Rubilar
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