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We study standing-wave solutions of Born-Infeld electrodynamics, with nonzero electromagnetic field in a region between two parallel conducting plates. We consider the simplest case which occurs when the vector potential describing the…

Mathematical Physics · Physics 2021-03-25 Nenad Manojlovic , Volker Perlick , Robertus Potting

In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be…

Fluid Dynamics · Physics 2014-04-14 Ivan C. Christov

Both the Mie coefficients and the electromagnetic field distributions in the two-layered sphere containing left-handed media irradiated by a planar electromagnetic wave are presented.

Classical Physics · Physics 2007-05-23 Jian Qi Shen

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten

We briefly report on a recent proposal (Fiore in J Phys A Math Theor 51:085203, 2018) for simplifying the equations of motion of charged particles in an electromagnetic (EM) field $F^{\mu\nu}$ that is the sum of a plane travelling wave…

Plasma Physics · Physics 2018-07-03 Gaetano Fiore , Paolo Catelan

The complex form of Maxwell equations has been constructed as one equation for 3-dimensional complex A-vector. The real and imaginary parts of this vector are described with use of electric and magnetic tensions accordingly. With using a…

Mathematical Physics · Physics 2007-05-23 Lyudmila A. Alexeyeva

In a Friedmann-Robertson-Walker (FRW) cosmological model with zero spatial curvature, we consider the interaction of the gravitational waves with the plasma in the presence of a weak magnetic field. Using the relativistic hydromagnetic…

General Relativity and Quantum Cosmology · Physics 2010-04-30 D. B. Papadopoulos

In ideal compressible hydrodynamics there is an isomorphism between spatially one-dimensional unstea- dy and two-dimensional steady supersonic flow called piston analogy [7]. This notice shows that this is also true for non-equilibrium…

Plasma Physics · Physics 2017-04-13 Wolfgang F. Ellermeier

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

We defend a natural division of the energy density, energy flux and momentum density of electromagnetic waves in linear media in electromagnetic and material parts. In this division, the electromagnetic part of these quantities have the…

Optics · Physics 2011-04-27 Pablo L. Saldanha

In this paper a one to one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Paul O'Hara

Electromagnetic waves propagate in the Schwarzschild spacetime like in a nonuniform medium with a varying refraction index. A fraction of the radiation scatters off the curvature of the geometry. The energy of the backscattered part of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Edward Malec

Gravitational waves (GWs) propagating through a uniformly magnetized plasma interact directly with the magnetic field and excite magnetohydrodynamic (MHD) waves with both electromagnetic and matter components. We study this process for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joachim Moortgat , Jan Kuijpers

I find nearly plane-wave solutions for the Gauss-Ampere law for the 4-vector potential, subject to the Lorenz gauge condition, in the spacetime of a plane gravitational plane wave. I assume that the gravitational wave is weak, in the sense…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Carl R. Gwinn

Due to the nonlinearity of QED, a static charge becomes a magnetic dipole if placed in a magnetic field. Already without external field, the cubic Maxwell equation for the field of a point charge has a soliton solution with a finite field…

High Energy Physics - Theory · Physics 2015-09-02 T. C. Adorno , Caio Costa , D. M. Gitman , A. E. Shabad

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

We explicitly compute the plasma wave (PW) induced by a plane gravitational wave (GW) travelling through a region of strongly magnetized plasma, governed by force-free electrodynamics. The PW co-moves with the GW and absorbs its energy to…

General Relativity and Quantum Cosmology · Physics 2016-07-29 Fan Zhang

Maxwell's equations and the Dirac equation are the first-order differential relativistic wave equation for electromagnetic waves and electronic waves respectively. Hence, there is a notable similarity between these two wave equations, which…

Quantum Physics · Physics 2023-08-04 Mingjie Li , S. A. R. Horsley

Transformation equations for physical quantities that characterize plane electromagnetic wave propagation in transparent optical media are presented. The Doppler effect, and measurements performed by an observer moving with the wave are…

General Physics · Physics 2008-12-04 B. Rothenstein , A. De Sabata

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…

Analysis of PDEs · Mathematics 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets
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