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We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\mu (\mathbf{r}) $ and permittivity $% \epsilon (\mathbf{r}) $ to study the wave propagation. The general form of the wave equation is derived…

综合物理 · 物理学 2013-09-17 S. Habib Mazharimousavi , Ashkan Roozbeh , M. Halilsoy

The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic…

等离子体物理 · 物理学 2008-03-30 V. N. Soshnikov

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

广义相对论与量子宇宙学 · 物理学 2008-11-26 A. B. Balakin

We study traveling wave solutions of an equation for surface waves of moderate amplitude arising as a shallow water approximation of the Euler equations for inviscid, incompressible and homogenous fluids. We obtain solitary waves of…

经典分析与常微分方程 · 数学 2013-12-06 Armengol Gasull , Anna Geyer

We study the propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes at times much longer than the pulse duration, yet still shorter than the relaxation time in the system.…

In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations. Small amplitude waves are studied within the linearization approximation…

核理论 · 物理学 2015-02-27 D. A. Fogaça , H. Marrochio , F. S. Navarra , J. Noronha

In this work, a systematic study, examining the propagation of periodic and solitary wave along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum…

斑图形成与孤子 · 物理学 2020-10-28 G. Abbas , P. G. Kevrekidis , J. E. Allen , V. Koukouloyannis , D. J. Frantzeskakis , N. Karachalios

We study the propagation of electromagnetic waves in a chiral fluid, where the molecules are described by a simplified version of the Kuhn coupled oscillator model. The eigenmodes of Maxwell's equations are circularly polarized waves. The…

物理教育 · 物理学 2008-03-05 T. Garel

We present a mimetic finite-difference approach for solving Maxwell's equations in one and two spatial dimensions. After introducing the governing equations and the classical Finite-Difference Time-Domain (FDTD) method, we describe mimetic…

数值分析 · 数学 2026-03-24 Johnny Corbino

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

数学物理 · 物理学 2014-05-12 Sönke Hansen

In the first part of this article the various experimental sectors of physics in which Superluminal motions seem to appear are briefly mentioned, after a sketchy theoretical introduction. In particular, a panoramic view is presented of the…

A theory of the propagation of acoustic waves in a porous medium filled with superfluid solution is developed. The elastic coefficients in the system of equations are expressed in terms of physically measurable quantities. The equations…

软凝聚态物质 · 物理学 2009-11-11 Sh. E. Kekutia , N. D. Chkhaidze

We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse…

斑图形成与孤子 · 物理学 2018-04-04 Sitai Li , Gino Biondini , Gregor Kovacic , Ildar Gabitov

An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to the frequency of a stationary point of the dispersion surface. We find…

数学物理 · 物理学 2016-05-10 Maria V. Perel , Mikhail S. Sidorenko

In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print physics/0001039] we have shown localized (non-evanescent) solutions to Maxwell equations to exist, which propagate without distortion with Superluminal speed along…

经典物理 · 物理学 2009-11-07 M. Zamboni-Rached , Flavio Fontana , Erasmo Recami

Maxwell's equations resemble Schr\"odinger's equation in that an exact solution for a well-defined model delivers all physically relevant details. Solvable microscopic electrodynamic models, however, are rare. An exception is the discrete…

经典物理 · 物理学 2025-11-04 Richard Dengler

In the past a few years, topologically protected mechanical phenomena have been extensively studied in discrete lattices and networks, leading to a rich set of discoveries such as topological boundary/interface floppy modes and states of…

软凝聚态物质 · 物理学 2019-07-16 Kai Sun , Xiaoming Mao

In this paper we consider an acoustic problem of wave propagation through a discontinuous medium. The problem is reduced to the dissipative wave equation with distributional dissipation. We show that this problem has a so-called very weak…

偏微分方程分析 · 数学 2017-05-04 Juan Carlos Munoz , Michael Ruzhansky , Niyaz Tokmagambetov

Acoustic wave propagation in a one-dimensional waveguide connected with Helmholtz resonators is studied numerically. Finite amplitude waves and viscous boundary layers are considered. The model consists of two coupled evolution equations: a…

经典物理 · 物理学 2015-06-16 Bruno Lombard , Jean-François Mercier

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

经典物理 · 物理学 2013-09-04 Jonathan Gratus , Matthew McCormack