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We derive and establish a solution concept for the linear mountain wave problem in two dimensions. After linearizing the governing equations and a change of variables, the problem can be stated as a Dirichlet boundary value problem for a…

Analysis of PDEs · Mathematics 2026-03-24 Adrian Constantin , Jörg Weber

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

The relations among the components of the exit momenta of ultrarelativistic electrons scattered on a strong electromagnetic wave of a low (optical) frequency and linear polarization are established using the exact solutions to the equations…

Plasma Physics · Physics 2015-04-01 O. V. Bogdanov , P. O. Kazinski

A description is made of the process of excitation of bound longitudinal-transverse gravitational waves during the propagation of electromagnetic waves in a dielectric medium. It is shown that the speed of such gravitational waves is less…

General Relativity and Quantum Cosmology · Physics 2020-04-13 A. N. Morozov , V. I. Pustovoit , I. V. Fomin

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the…

High Energy Physics - Theory · Physics 2015-06-18 Francesco Azzurli , Kurt Lechner

Due to the non-linearity of Hertzian contacts, the speed of sound $c$ in granular matter is expected to increase with pressure as $P^{1/6}$. A static layer of grains under gravity is thus stratified so that bulk waves are refracted toward…

Soft Condensed Matter · Physics 2007-05-23 L. Bonneau , B. Andreotti , E. Clement

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

The discrete Uehling-Uhlenbeck equations are solved to study the propagation of plane (sound) waves in a system of composite fermionic particles with hard-sphere interactions and the filling factor ($\nu$) being 1/2. The Uehling-Uhlenbeck…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Kwang-Hua Chu

The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial is considered. If the group velocities dispersion is not taken into account, then wave propagation can be described either by the…

Pattern Formation and Solitons · Physics 2022-11-04 A. I. Maimistov

The purpose of this paper is to present mathematical evidence that electromagnetic near-field waves and wave groups, generated by an oscillating electric dipole, propagate much faster than the speed of light as they are generated near the…

General Physics · Physics 2007-05-23 William D. Walker

Thermalization and heating of plasma flows at shocks result in unstable charged-particle distributions which generate a wide range of electromagnetic waves. These waves, in turn, can further accelerate and scatter energetic particles. Thus,…

We present a mathematical formalism describing the propagation of a completely general electromagnetic wave in a birefringent medium. Analytic formulas for the refraction and reflection from a plane interface are obtained. As a particular…

Optics · Physics 2008-11-27 S. Hacyan , R. Jauregui

The electromagnetic component waves, comprising together with their generating oscillatory massless charge a material particle, will be Doppler shifted when the charge hence particle is in motion, with a velocity $v$, as a mere mechanical…

General Physics · Physics 2007-05-23 J X Zheng-Johansson , P-I Johansson

We show that on electron scales a patch of the localized magnetic reconnection spreads bi-directionally in a wave like fashion when an external guide-magnetic field in the direction of the electron current is present. The spreading is…

Plasma Physics · Physics 2016-12-30 Neeraj Jain , Joerg Buechner

By employing a local two-fluid theory, we investigate an obliquely propagating electromagnetic instability in the lower hybrid frequency range driven by cross-field current or relative drifts between electrons and ions. The theory…

Astrophysics · Physics 2007-05-23 Hantao Ji , Russell Kulsrud , William Fox , Masaaki Yamada

We study the propagation and scattering of electromagnetic waves by random arrays of dipolar cylinders in a uniform medium. A set of self-consistent equations, incorporating all orders of multiple scattering of the electromagnetic waves, is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ken Wang , Zhen Ye

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

The power and the probability of electromagnetic radiation from an electron in a constant background tensor field violating Lorentz invariance are calculated. The case of a background field of the quasielectric type is considered. The…

High Energy Physics - Phenomenology · Physics 2025-01-31 Anatoly V. Borisov

We investigate wave propagation and energy transport in magnetic elements, which are representatives of small scale magnetic flux concentrations in the magnetic network on the Sun. This is a continuation of earlier work by Hasan et al.…

Solar and Stellar Astrophysics · Physics 2015-05-14 G. Vigeesh , S. S. Hasan , O. Steiner

We study wave propagation in a non-relativistic cold quark-gluon plasma immersed in a constant magnetic field. Starting from the Euler equation we derive linear wave equations and investigate their stability and causality. We use a generic…

High Energy Physics - Phenomenology · Physics 2018-03-07 D. A. Fogaça , S. M. Sanches , F. S. Navarra