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An intense X wave propagating perpendicularly to dc magnetic field is unstable with respect to a parametric decay into an electron Bernstein wave and a lower-hybrid wave. A modified theory of this effect is proposed that extends to the…

Plasma Physics · Physics 2017-04-26 I. Y. Dodin , A. V. Arefiev

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Maxim Lyutikov

The existence of an electromagnectic field with parallel electric and magnetic components is readdressed in the presence of a gravitational field. A non-parallel solution is shown to exist. Next, we analyse the possibility of finding…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , J. A. Helayel-Neto , Gilmar S. Dias

Guided by the planar interface of two dissimilar linear, homogeneous mediums, a Voigt surface wave arises due to an exceptional point of either of the two matrixes necessary to describe the spatial characteristics in the direction normal to…

Optics · Physics 2020-12-25 Akhlesh Lakhtakia , Tom G. Mackay , Chenzhang Zhou

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

Electric and magnetic waveguides are considered in planar Dirac materials like graphene as well as their classical version for relativistic particles of zero mass and electric charge. In order to solve the Dirac-Weyl equation analytically,…

Mathematical Physics · Physics 2024-05-30 David Barranco , Şengül Kuru , Javier Negro

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

General Relativity and Quantum Cosmology · Physics 2016-11-18 M. Novello , C. E. L. Ducap

We consider a flat lattice of dipoles modeled by harmonic oscillators interacting with the electromagnetic field in dipole approximation. Eliminating the variables from the coupled equations of motion, we come to effective Maxwell…

Quantum Physics · Physics 2015-06-19 M. Bordag

By using the quantum hydrodynamic and Maxwell equations, we derive nonlinear electron-magnetohydrodynamic (MHD), Hall-MHD, and dust Hall-MHD equations for dense quantum magnetoplasmas. The nonlinear equations include the electromagnetic,…

Plasma Physics · Physics 2015-05-13 N. Shukla , G. Brodin , M. Marklund , P. K. Shukla , L. Stenflo

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan

We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We…

Mathematical Physics · Physics 2015-03-17 Vasily E. Tarasov

Expanding the ordinary Dirac's equation in quaternionic form yields Maxwell-like field equations. As in the Maxwell's formulation, the particle fields are represented by a scalar, $\psi_0$ and a vector $\vec{\psi}$. The analogy with…

General Physics · Physics 2017-04-25 A. I. Arbab

In an isotropic, homogeneous, nondissipative, dielectric-magnetic medium that is simply moving with respect to an inertial reference frame, planewave solutions of the Maxwell curl postulates can be such that the phase velocity and the…

Optics · Physics 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia

We consider the interaction of a weak gravitational wave with electromagnetic fields in a thin plasma on a Minkowski background spacetime using the 1+3 orthonormal frame formalism. Because gravitational and electromagnetic waves satisfy the…

Astrophysics · Physics 2009-10-31 Mattias Marklund , Gert Brodin , Peter Dunsby

The effective mass approximation is used to consider plasma and magnetoplasma waves in an electron system on the surface of the semiconductor cylindrical nanotube. The electron-electron coupling is taken into account in the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-24 A. M. Ermolaev , G. I. Rashba

When a plane wave is launched from a plane surface in a linear, homogenous, dielectric-magnetic, uniaxial medium, we show that its phase velocity and the energy-transport velocity vectors can be counterposed (i.e., lie on different sides of…

Optics · Physics 2009-11-10 A. Lakhtakia , M. W. McCall

The Displacement Current is a peculiar aspect of Maxwell's equation created by theoretical necessity only to be later validated through experimentation. We analyze the properties of the Displacement Current in the static condition of…

Optics · Physics 2025-01-07 Arvin Sharma

The force of electromagnetic radiation on a dielectric medium may be derived by a direct application of the Lorentz law of classical electrodynamics. While the light's electric field acts upon the (induced) bound charges in the medium, its…

Optics · Physics 2014-01-29 Masud Mansuripur , Armis R. Zakharian , Jerome V. Moloney

5-Dimensional wave equation for a massive particle of spin 1 in the background of de Sitter space-time model is solved in static coordinates. The spherical 5-dimensional vectors $A_{a}, a= 1,...,5$ of three types, $j,j+1, j-1$ are…

High Energy Physics - Theory · Physics 2010-01-26 V. S. Otchik , V. M. Red'kov

We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model and several boundary conditions modelling wave injection…

Analysis of PDEs · Mathematics 2015-02-04 Aurore Back , Takashi Hattori , Simon Labrunie , Jean-Rodolphe Roche , Pierre Bertrand