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Causality theorems and Green functions for transient wave propagation problems in stratified complex media

Rikte, Sten LU (1994) In Technical Report LUTEDX/(TEAT-7029)/1-17/(1994)
Abstract
A general mixed initial-boundary value problem for a non-local hyperbolic

equation, relevant for the study of the propagation of transient electro-magnetic

waves in flat slabs, consisting of dispersive stratified complex media, and excited

by incident plane waves, is treated. Theorems regarding unique solvability

and causality are presented and proved by a time domain method similar

to the one used in the scalar (isotropic) case. The Green functions equations

for the problem are derived and proved to be uniquely solvable. The theorems

are applicable to wave propagation in, e.g., large classes of dispersive

bi-isotropic, an-isotropic, and bi-an-isotropic media.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7029)/1-17/(1994)
pages
17 pages
publisher
[Publisher information missing]
report number
TEAT-7029
language
English
LU publication?
yes
additional info
Published version: SIAM J. Math. Anal., 57(5), 1373-1389, 1997.
id
1cd9e42d-088a-4b8b-b9ce-9bebfea2345a (old id 530278)
date added to LUP
2016-04-04 14:28:02
date last changed
2018-11-21 21:20:30
@techreport{1cd9e42d-088a-4b8b-b9ce-9bebfea2345a,
  abstract     = {{A general mixed initial-boundary value problem for a non-local hyperbolic<br/><br>
equation, relevant for the study of the propagation of transient electro-magnetic<br/><br>
waves in flat slabs, consisting of dispersive stratified complex media, and excited<br/><br>
by incident plane waves, is treated. Theorems regarding unique solvability<br/><br>
and causality are presented and proved by a time domain method similar<br/><br>
to the one used in the scalar (isotropic) case. The Green functions equations<br/><br>
for the problem are derived and proved to be uniquely solvable. The theorems<br/><br>
are applicable to wave propagation in, e.g., large classes of dispersive<br/><br>
bi-isotropic, an-isotropic, and bi-an-isotropic media.}},
  author       = {{Rikte, Sten}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7029}},
  series       = {{Technical Report LUTEDX/(TEAT-7029)/1-17/(1994)}},
  title        = {{Causality theorems and Green functions for transient wave propagation problems in stratified complex media}},
  url          = {{https://lup.lub.lu.se/search/files/6367114/624863.pdf}},
  year         = {{1994}},
}