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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…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier

We derive the classical dynamics of massless charged particles in a rigorous way from first principles. Since due to ultraviolet divergences this dynamics does not follow from an action principle, we rely on a) Maxwell's equations, b)…

High Energy Physics - Theory · Physics 2015-06-19 Kurt Lechner

In this paper, we study electron wavepacket dynamics in electric and magnetic fields. We rigorously derive the semiclassical equations of electron dynamics in electric and magnetic fields. We do it both for free electron and electron in a…

Quantum Physics · Physics 2018-05-09 Navin Khaneja

We study a phenomenological electropermeabilization model in a periodic medium representing biological tissue. Starting from a cell-level model describing the electric potential and the degree of porosity, we perform dimension analysis to…

Analysis of PDEs · Mathematics 2026-02-03 Tobias Gebäck , Ioanna Motschan-Armen , Irina Pettersson

We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media.…

Classical Physics · Physics 2016-05-04 Dionisios Margetis , Mitchell Luskin

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

We consider for the time-dependent Maxwell's equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a homogeneous background medium from dynamic measurements of the…

Mathematical Physics · Physics 2007-06-04 Christian Daveau , Abdessatar Khelifi

In the present article, we discuss a modification of classical electrodynamics in which ``ordinary'' point charges are absent. The modified equations contain additional terms describing the induced charges and currents. The densities of the…

Classical Physics · Physics 2009-11-13 A. V. Fedorov , E. G. Kalashnikov

We review Maxwell's equations and constitutive relations for 3D bianisotropic media in a generalized form: we consider all four variables and allow for nonzero polarization or magnetization, and also nonzero nonzero magnetic charge or…

Computational Physics · Physics 2022-12-23 Tharindu Fernando , Martin Licht , Michael Holst

Single- and multi-valued solutions of homogeneous Maxwell equations in vacuum are considered, with ''sources'' formed by the (point- or string-like) singularities of the field strengths and, generally, irreducible to any delta-functions'…

Classical Physics · Physics 2007-05-23 Vladimir V. Kassandrov

It is well--known that when magnetic monopoles are introduced in plasma equations the propagation of electromagnetic waves is modified. This occurs because of Maxwell equations acquire a symmetrical structure due to the existence of…

Plasma Physics · Physics 2019-09-04 Felipe A. Asenjo , Pablo S. Moya

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

High Energy Physics - Theory · Physics 2017-08-02 Ali Seraj

We subject the stationary solutions of inviscid and axially symmetric rotational accretion to a time-dependent radial perturbation, which includes nonlinearity to any arbitrary order. Regardless of the order of nonlinearity, the equation of…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Soumyajit Bose , Anindya Sengupta , Arnab K. Ray

In this Letter, we theoretically demonstrate that a uniform static electric field distribution can be partially converted to radiation fields when a portion of the medium undergoes a temporal change of its permittivity. An in-depth…

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vratko Polák , Vladimír Balek

A kinetic theory for spin plasmas is put forward, generalizing those of previous authors. In the model, the ordinary phase space is extended to include the spin degrees of freedom. Together with Maxwell's equations, the system is shown to…

Plasma Physics · Physics 2009-11-13 Gert Brodin , Mattias Marklund , Jens Zamanian , Asa Ericsson , Piero L. Mana

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…

High Energy Physics - Theory · Physics 2023-04-20 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

We study homogenization problem for the stationary Maxwell system. It is supposed that the magnetic permeability and the dielectric permittivity locally close to fast-oscillating (with respect to some small parameter) periodic functions…

Mathematical Physics · Physics 2011-01-28 Alexey A. Pozharskii

After a brief review of the foundations of (pre-metric) electromagnetism, we explore some physical consequences of electrodynamics in curved spacetime. In general, new electromagnetic couplings and related phenomena are induced by the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Francisco Cabral , Francisco S. N. Lobo