Causality theorems and Green functions for transient wave propagation problems in stratified complex media
(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:
https://lup.lub.lu.se/record/530278
- author
- Rikte, Sten LU
- organization
- publishing date
- 1994
- 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}}, }