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Light propagation is viewed as a process involving mutual creation of electric and magnetic fields. This viewpoint is used to argue that the conventional retarded solutions to electromagnetic wave equations (whose source is a current…

Classical Physics · Physics 2022-01-11 Wei Guo

We present a new algorithm for computing the electromagnetic fields of currents inside and outside of finite current sources, for arbitrary time variations in the currents. Unexpectedly, we find that our solutions for these fields are free…

Classical Physics · Physics 2015-05-28 Stanislaw Olbert , John W. Belcher , Richard H. Price

In Maxwell's equations, the electric field can be expressed as the sum of the Coulombic field associated with the electric charge and the induced field associated with the time variation of the magnetic field from Faraday's law. The same…

Classical Physics · Physics 2025-09-03 Toshio Hyodo

Detailed physical processes of magnetic field generation from density fluctuations in the pre-recombination era are studied. Solving Maxwell equations and the generalized Ohm's law, the evolutions of the net charge density, the electric…

Astrophysics · Physics 2008-11-26 Keitaro Takahashi , Kiyotomo Ichiki , Naoshi Sugiyama

New results for attenuation and damping of electromagnetic fields in rigid conducting media are derived under the conjugate influence of inertia due to charge carriers and displacement current. Inertial effects are described by a relaxation…

Classical Physics · Physics 2009-03-03 F. E. M. Silveira , J. A. S. Lima

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of…

Classical Physics · Physics 2013-04-15 Markus Lazar

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

We extend the usual derivation of the wave equation from Maxwell's equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in…

Classical Physics · Physics 2019-08-29 V. A. Coelho , F. S. S. Rosa , Reinaldo de Melo e Souza , C. Farina , M. V. Cougo-Pinto

Electromagnetic fields of an accelerated charge are derived from the first principles using Coulomb's law and the relativistic transformations. The electric and magnetic fields are derived first for an instantaneous rest frame of the…

Classical Physics · Physics 2013-06-11 Ashok K. Singal

Electromagnetic waves propagate with the speed of light. The reason is that electrostatic fields as well as magnetic fields propagate with this speed. Both types of objects, waves as well as static fields contain and transport energy.…

General Physics · Physics 2007-10-18 Claus W. Turtur

I analyse and numerically evaluate the radiation field generated by an experimentally realized embodiment of an electric polarization current whose rotating distribution pattern moves with linear speeds exceeding the speed of light in…

High Energy Astrophysical Phenomena · Physics 2019-07-26 Houshang Ardavan

It is considered that the time derivative of the electric intensity in the Maxwell-Ampere law (displacement current) denotes that a change of electric field generates a magnetic field. This paper shows that there is no reason to think a…

General Physics · Physics 2007-05-23 Petr Slechta

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

General Physics · Physics 2022-10-11 Hosein Nasrolahpour

The quasistatic electric current density of fermions in the presence of an external electric field is determined through the utilization of a time-ordered Schwinger propagator. The study encompasses the necessary conditions for establishing…

High Energy Physics - Phenomenology · Physics 2026-01-21 Cristian Villavicencio

We consider tubular nanowires with a polygonal cross-section. In this geometry the lowest energy states are separated in two sets, one of corner and one of side-localized states, respectively. The presence of an external magnetic field…

In this paper, a fractional generalization of the wave equation that describes propagation of damped waves is considered. In contrast to the fractional diffusion-wave equation, the fractional wave equation contains fractional derivatives of…

Mathematical Physics · Physics 2021-03-12 Yuri Luchko

We have developed new methods to calculate dispersion curves (analytically in the simpler cases) from which we are able to derive the spatial distribution of electron and current densities. We investigate the case where the magnetic field…

Condensed Matter · Physics 2009-10-28 E. Hofstetter , J. M. C. Taylor , A. MacKinnon

There is a fundamental difference between the classical expression for the retarded electromagnetic potential and the corresponding retarded solution of the wave equation that governs the electromagnetic field. While the boundary…

Mathematical Physics · Physics 2015-05-13 Houshang Ardavan , Arzhang Ardavan , John Singleton , Joseph Fasel , Andrea Schmidt

Starting from Stratton-Panofsky-Phillips-Jefimenko equations for the electric and magnetic fields generated by completely arbitrary charge and current density distributions at rest, we derive far-zone approximations for the fields,…

Classical Physics · Physics 2010-01-11 B. Thidé , J. Lindberg , H. Then , F. Tamburini

There is a fundamental difference between the classical expression for the retarded electromagnetic potential and the corresponding retarded solution of the wave equation that governs the electromagnetic field. While the boundary…

Mathematical Physics · Physics 2008-05-05 Houshang Ardavan , Arzhang Ardavan , John Singleton , Joseph Fasel , Andrea Schmidt
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