2 edition of Transient wave propagation in spatial and temporal dispersive media. found in the catalog.
Transient wave propagation in spatial and temporal dispersive media.
Kenneth Chien-Ying Chen
Written in English
|Contributions||Toronto, Ont. University.|
|The Physical Object|
|Pagination||iii, 72 leaves.|
|Number of Pages||72|
persive and absorptive media. The book of Oughstun The purpose is to revisit the propagation of waves in dispersive media made by Brillouin and Sommerfeld  in Section V demonstrates the temporal response of a dispersive slab, with the transient time regime includ-. evolution of the transient and steady state pulse propagation in dispersive media. DOI: /PhysRevE PACS number s: Fx, Bf, Gk I. INTRODUCTION Wave propagation in dispersive media has been a com-plex and sometimes controversial research topic since the late 19th century. Sommerfeld and Brillouin were among the.
While planar projection methods are known for their computational efficiency, their inherent operations in the frequency domain also make them ideal for operating dispersive media. Furthermore, symmetry of the spatial dimension allows back-propagation which remains invariant, regardless of temporal complexity. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The auxiliary-differential-equation formulation of the finite-difference time-domain method has become a powerful tool for modeling electromagnetic wave propagation in linear and nonlinear dispersive media. In the first part of this pa-per, we compare the stability and accuracy of second- and .
Analysis of transient wave propagation in an arbitrary frequency-dispersive media using the associated laguerre functions in the FDTD-MOD method not only the time variable can be decoupled analytically from the temporal variations but also the final computational form of the equations is transformed from FDTD to a FD formulation through a. This study presents transient aspects of light wave propagation connected with spatial coherence. It is shown that reflection and refraction phenomena involve spatial patterns which are created within a certain transient time interval. After this transient time interval, these patterns act like a memory, determining the wave vector for subsequent sets of reflected/refracted waves.
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Kurt E. Oughstun In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media.
The numerical solutions of wave propagation problems suffer from numerical dispersion errors. As a result, when using traditional finite element procedures, the solution accuracy in general becomes worse with an increase of the considered wave number, k = 2 π λ, where λ is the (exact) wave length.
Therefore, it is important to examine the dispersion properties of a numerical Author: Yingbin Chai, Klaus-Jürgen Bathe. Electromagnetic and Optical Pulse Propagation presents a detailed, systematic treatment of the time-domain electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in homogeneous, isotropic media which exhibit both temporal frequency dispersion and attenuation.
Transient wave propagation in inhomogeneous media with enriched overlapping triangular elements Author links open overlay panel Yingbin Chai Klaus-Jürgen Bathe Show moreAuthor: Yingbin Chai, Klaus-Jürgen Bathe.
The errors introduced are a result of the spatial and temporal discretizations used to solve transient wave propagations. To achieve accurate solutions of complex problems, the spatial and temporal discretizations should be selected according to the dispersion (period elongation) and attenuation (amplitude decay) properties of the methods : AIE Staff.
About the authors In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive attenuative media. TRANSIENT WAVE PROPAGATION IN A GENERAL DISPERSIVE MEDIA USING THE LAGUERRE FUNC-TIONS IN A MARCHING-ON-IN-DEGREE (MOD) METHOD-OLOGY B.
Jung1,*, Z. Mei2, and T. Sarkar2 1Department of Information and Communication Engineering, Hoseo University, Asan, ChungnamKorea 2Department of Electrical Engineering. The propagation is seen to be represent a time-varying spatial filter that increasingly attenuates the higher spatial frequencies as time goes on.
Unlike the continuous wave case, the filter is neither band-limited nor a pure phase filter. The particular form of the spatial filter depends on the medium assumed and on the baffle conditions.
ular meshes. These properties make the scheme (the combined spatial and temporal discretizations) promising to solve general wave propagation problems in complex geometries involving multiple waves.
A dispersion analysis is given and various example problems are solved to illustrate the performance of the solution scheme. Elsevier Ltd. Kurt E. Oughstun In two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields (including ultrawideband signals and ultrashort pulses) in dispersive absorptive media.
This heavily-illustrated text presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields through causal, locally linear media which exhibit both temporal dispersion and absorption. The problem of wave propagation through a periodic medium is considered.
It is assumed that the ratio between the cell size and the shortest wavelength of the initial disturbance is small. Within this regime, an effective medium model of the propagation phenomena is obtained using the Bloch expansion. The effective medium obtained is shown to be dispersive.
biased estimates of wave speed. Further, plane wave propagation is sometimes assumed, which contributes to estimation errors. Therefore, we invert a wave propagation model that incorpo-rates propagation, decay, and distortion of pulses in a dispersive media in order to accurately estimate its elastic and viscous components.
The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation. The second edition contains new material on the effects of spatial dispersion on precursor formation, and pulse transmission into a dispersive half space and into multilayered media.
We study theoretically the propagation of electromagnetic waves in an infinite, isotropic, and homogenous, medium with both temporal and spatial dispersion included. We derive a partial differential equation connecting temporal and spacial dispersion to achieve negative group velocity.
An exact solution of the equation is found and is shown to lead to negative-refraction media. “This book is the second volume of a two-volume set on Electromagnetic and Optical Pulse Propagation, authored by Prof.
Oughstun. It presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields. Electromagnetic and Optical Pulse Propagation is a very impressive s: 1. In order derive a non-local dispersive wave propagation model, a higher-order AHM with multiple spatial and temporal scales was applied to heterogeneous media in.
In this paper, a general-purpose computational model for dispersive wave propagation in heterogeneous media is developed. The model is based on the higher-order homogenization with multiple spatial and temporal scales and the C0-continuous mixed finite element approximation of the resulting nonlocal equations of motion.
Wave propagation of transient electromagnetic waves in time-varying media is considered. The medium, which is assumed to be inhomogeneous and dispersive, lacks invariance under time translations. The spatial variation of the medium is assumed to be in the depth coordinate, i.e., it is stratified.
The constitutive relations of the medium is a time integral of a generalized. In a series of papers, wave propagation of transient scalar waves in inhomogeneous media has been analyzed [5–8]. This analysis has later been extended such that media with dispersion are allowed .
The wave splitting of the Maxwell equations was recently done by Weston . The purpose of this paper is to generalize the results in these. Ruize Hu and Caglar Oskay, Spatial–temporal nonlocal homogenization model for transient anti-plane shear wave propagation in periodic viscoelastic composites, Computer Methods in Applied Mechanics and Engineering, /,(), ().J Represa's 48 research works with citations and 2, reads, including: Analysis of the Numerical Features of Several Two-Stage Split-Step FDTD Methods.
The recently developed asymptotic theory of wave propagation is extended to slightly inhomogeneous and slowly varying anisotropic media which exhibit both spatial and temporal dispersion. A particular form of the constitutive relation is first introduced.
Asymptotic solutions are then obtained by assuming a series solution ``ansatz'' into Maxwell's equations .