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This paper provides a complete self-consistent nonlinear theory for electron plasma waves, within the framework of the adiabatic approximation. The theory applies whatever the variations of the wave amplitude, provided that they are slow…

Plasma Physics · Physics 2022-05-25 M. Tacu , D. Bénisti

One might expect light to be scattered when it passes through a gravitational wave, and might hope that in favourable circumstances these scatterings could be observed on Earth even if the interaction occurs far away. Damour and…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Adam Helfer

According to Schroedinger's ideas, classical dynamics of point particles should correspond to the " geometrical optics " limit of a linear wave equation, in the same way as ray optics is the limit of wave optics. It is shown that, using…

General Relativity and Quantum Cosmology · Physics 2007-11-19 Mayeul Arminjon

In this article, we continue our investigation on how the electromagnetic waves propagate in the Friedman-Lemaitre-Robertson-Walker spacetime. Unlike the standard approach, which relies on null geodesics and geometric optics approximation,…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Denitsa Staicova , Michail Stoilov

Working with electrodynamics in the geometrical optics approximation we derive the expression representing an effectively curved geometry which guides the propagation of electromagnetic waves in material media whose physical properties…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , R. Klippert

Recently, Dressel et al determined the vertical deflection of a light ray in a medium, with a strong frequency-dependent dispersion, at rest in a uniform gravitational field. We take up this question within the general relativistic theory…

General Relativity and Quantum Cosmology · Physics 2009-07-14 Bernard Linet

In the present work we propose a generalization of Newton's gravitational theory from the original works of Heaviside and Sciama, that takes into account both approaches, and accomplishes the same result in a simpler way than the standard…

General Physics · Physics 2011-06-30 Anderson W. Mol

There is ongoing interest in adopting various tools and ideas from general relativity for optical applications and the study of light propagation through natural or engineered media. Here, the covariant kinematics of light propagating…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Robert T. Thompson , Mohsen Fathi

Particles interacting with a prescribed quasimonochromatic gravitational wave (GW) exhibit secular (average) nonlinear dynamics that can be described by Hamilton's equations. We derive the Hamiltonian of this "ponderomotive" dynamics to the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Deepen Garg , I. Y. Dodin

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

Pattern Formation and Solitons · Physics 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

For the strong gravitational wave model, an explicit transformation is obtained from a privileged coordinate system with a wave variable to a synchronous reference frame with separation of time and space variables. In a synchronous…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

Being considered is the motion of Dirac particle in gravitational field, described by Kerr solution. It is proved, that evolution of the wave function is determined by Hermitian Hamiltonian, if the concomitant reference frame is involved.

General Relativity and Quantum Cosmology · Physics 2008-08-19 M. V. Gorbatenko , T. M. Gorbatenko

The problem of propagating nonlinear acoustic waves is considered; the solution to which, both with and without damping, having been obtained to-date starting from the Navier-Stokes-Duhem equations together with the continuity and thermal…

Fluid Dynamics · Physics 2021-09-29 Markus Scholle

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

The Istituto Nazionale di Geofisica e Vulcanologia has been involved since its foundation in the forecast of the conditions in which a radio link that makes use of propagation by means of ionospheric wave takes place. In the last times it…

Optics · Physics 2010-05-21 S. Bianchi , U. Sciacca , A. Settimi

We consider non-linear plane gravitational waves as propagating space-time defects, and construct the Burgers vector of the waves. In the context of classical continuum systems, the Burgers vector is a measure of the deformation of the…

General Relativity and Quantum Cosmology · Physics 2021-01-27 F. L. Carneiro , S. C. Ulhoa , J. W. Maluf , J. F. da Rocha-Neto

Using Fermat's principle, we analyze the effects of very long wavelength gravitational waves upon the images of a gravitationally lensed quasar. We show that the lens equation in the presence of gravity waves is equivalent to that of a lens…

Astrophysics · Physics 2011-09-09 J. Frieman , D. Harari , G. Surpi

The well-known diffusion theory describes propagation of light and electromagnetic waves in complex media. While diffusion theory is known to fail both for predominant forward scattering or strong absorption, its precise range of validity…

Optics · Physics 2019-04-08 Maryna L. Meretska , Ravitej Uppu , Ad Lagendijk , Willem L. Vos

The fundamental problem of optical wave propagation is the determination of the field at an observation point, given a disturbance specified over some finite aperture. In both vacuum and inhomogeneous media, the solution of this problem is…

Analysis of PDEs · Mathematics 2007-05-23 Peng Li

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