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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.
Please use this url to cite or link to this publication:
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
Society for Industrial and Applied Mathematics
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
2016-04-01 15:20:34
date last changed
2022-01-28 04:54:09
@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    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Applied Mathematics}},
  title        = {{Existence, Uniqueness, and Causality Theorems for Wave Propagation in Stratified, Temporally Dispersive, Complex Media}},
  url          = {{https://lup.lub.lu.se/search/files/4371142/624962.pdf}},
  doi          = {{10.1137/S0036139994279190}},
  volume       = {{57}},
  year         = {{1997}},
}