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The aim of this paper is to give an account of some applications of pseudodifferential calculus for solving linear wave equations in the limit of high frequency/short wavelength waves. More specifically, on using as a benchmark the case of…

数学物理 · 物理学 2007-05-23 Omar Maj

Propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of the total Maxwell-Duffing model where anharmonic oscillators with cubic nonlinearities (Duffing model) represent the…

斑图形成与孤子 · 物理学 2007-05-23 Andrei I. Maimistov , Jean-Guy Caputo

We present a method, based on Feynman path integrals, to describe the propagation and properties of the quantised electromagnetic field in an arbitrary, nonlinear medium. We provide a general theory, valid for any order of optical…

量子物理 · 物理学 2019-11-27 Mosbah Difallah , Alexander Szameit , Marco Ornigotti

In this article we develop an effective theory of pulse propagation in a nonlinear and disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel…

介观与纳米尺度物理 · 物理学 2013-05-29 G. Schwiete , A. M. Finkel'stein

The analysis of wave propagation in linear, passive media is usually done by considering a single real frequency (the monochromatic limit) and also often a single plane wave component (plane wave limit), separately. For gain media, we…

光学 · 物理学 2015-04-20 Hans Olaf Hågenvik , Markus E. Malema , Johannes Skaar

The propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of a model where the material medium is represented by anharmonic oscillators with cubic nonlinearities (Duffing…

斑图形成与孤子 · 物理学 2007-05-23 Elena V. Kazantseva , Andrei I. Maimistov , Jean-Guy Caputo

It is shown that incompressible spin quantum Hall magnetohydrodynamics allows an exact solution for the propagation of a circularly polarized electromagnetic wave. The solution is obtained assuming a condition between the fluid velocity and…

等离子体物理 · 物理学 2010-10-19 Felipe A. Asenjo

A rigorous theoretical investigation has been made on electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot electrons and stationary ions. Based on the pseudo-potential…

斑图形成与孤子 · 物理学 2010-04-14 S. A. El-Wakil , E. K. El-Shewy , H. M. Abd-El-Hamid , E. M. Abulwafa

Multiple scattering of polarised electromagnetic waves in diffusive media is investigated by means of radiative transfer theory. The method becomes exact in several situations of interest, such as a thick-slab experiment (slab thickness L…

凝聚态物理 · 物理学 2009-10-28 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

Based on the Dirac representation of Maxwell equations we present an explicit, discrete space-time, quantum walk-inspired algorithm suitable for simulating the electromagnetic wave propagation and scattering from inhomogeneities within…

Spatially dispersive (also known as non-local) electromagnetic media are considered where the parameters defining the permittivity relation vary periodically. Maxwell's equations give rise to a difference equation corresponding to the…

经典物理 · 物理学 2015-03-23 Jonathan Gratus , Matthew McCormack

In this paper we construct a path integral formulation of quantum mechanics on noncommutative phase-space. We first map the system to an equivalent system on the noncommutative plane. Then by applying the formalism of representing a quantum…

高能物理 - 理论 · 物理学 2017-03-02 Sunandan Gangopadhyay , Aslam Halder

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

偏微分方程分析 · 数学 2026-03-23 Christian Döding , Barbara Verfürth

We study the propagation of ultra-short pulses in a cubic nonlinear medium. Using multiple-scale technique, we derive a new wave equation that preserves the nonlocal dispersion present in Maxwell's equations. As a result, we are able to…

可精确求解与可积系统 · 物理学 2007-05-23 Y. Chung , T. Schaefer

In this work, the propagation of an ultrasonic pulse in a thin plate is computed solving the differential equations modeling this problem. To solve these equations finite differences are used to discretize the temporal variable, while…

An initial value algorithm is utilized to examine the time dependent evolution of the electromagnetic fields arising from oblique scattering of bounded pulses from an infinite planar dielectric interface. Since the qubit lattice algorithm…

We present a new Lattice Boltzmann (LB) formulation to solve the Maxwell equations for electromagnetic (EM) waves propagating in a heterogeneous medium. By using a pseudo-vector discrete Boltzmann distribution, the scheme is shown to…

天体物理仪器与方法 · 物理学 2015-05-30 Shravan M. Hanasoge , Sauro Succi , Steven A. Orszag

In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the underlying system, such as the plasma frequency, implicit methods begin to play an…

数值分析 · 数学 2016-06-30 Yingda Cheng , Andrew J. Christlieb , Wei Guo , Benjamin Ong

In order to find an approximate solution to the Vlasov-Maxwell equation system describing the lower hybrid wave propagation in magnetic confined plasmas, the use of the WKB method leads to the ray tracing equations. The Hamiltonian…

等离子体物理 · 物理学 2014-03-05 Andrea Casolari , Alessandro Cardinali

Last year physicists in Europe have measured the velocity of the neutrinos particles. They found the neutrinos moving faster than the speed of light in vacuum. This result means that Einstein's relativity principle and its consequences in…

综合物理 · 物理学 2012-02-09 Pavel Mednis