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Existence, Uniqueness, and Causality Theorems for Wave Propagation in Stratified, Temporally Dispersive, Complex Media

Rikte, Sten LU (1997) In SIAM Journal on Applied Mathematics 57(5). p.89-1373
Abstract
A mixed initial-boundary value problem for a nonlocal, hyperbolic equation is analyzed with respect to unique solubility and causality. The regularity of the step response and impulse response (the Green functions) is investigated, and a wave front theorem is proved. The problem arises, e.g., at time-varying, electromagnetic, plane wave excitation of stratified, temporally dispersive, bi-isotropic or anisotropic slabs. Concluding, the problem is uniquely solvable, strict causality holds, and a well-defined wave front speed exists. This speed is independent of dispersion and excitation, and depends on the nondispersive properties of the medium only.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
SIAM Journal on Applied Mathematics
volume
57
issue
5
pages
89 - 1373
publisher
SIAM Publications
external identifiers
  • scopus:0031258277
ISSN
0036-1399
DOI
10.1137/S0036139994279190
language
English
LU publication?
yes
id
d99108d8-5e86-4d29-97d5-1989ff2a6f07 (old id 143306)
date added to LUP
2007-07-10 09:21:07
date last changed
2017-08-20 04:15:22
@article{d99108d8-5e86-4d29-97d5-1989ff2a6f07,
  abstract     = {A mixed initial-boundary value problem for a nonlocal, hyperbolic equation is analyzed with respect to unique solubility and causality. The regularity of the step response and impulse response (the Green functions) is investigated, and a wave front theorem is proved. The problem arises, e.g., at time-varying, electromagnetic, plane wave excitation of stratified, temporally dispersive, bi-isotropic or anisotropic slabs. Concluding, the problem is uniquely solvable, strict causality holds, and a well-defined wave front speed exists. This speed is independent of dispersion and excitation, and depends on the nondispersive properties of the medium only.},
  author       = {Rikte, Sten},
  issn         = {0036-1399},
  language     = {eng},
  number       = {5},
  pages        = {89--1373},
  publisher    = {SIAM Publications},
  series       = {SIAM Journal on Applied Mathematics},
  title        = {Existence, Uniqueness, and Causality Theorems for Wave Propagation in Stratified, Temporally Dispersive, Complex Media},
  url          = {http://dx.doi.org/10.1137/S0036139994279190},
  volume       = {57},
  year         = {1997},
}