Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems
(1994) In Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)- Abstract
- 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
susceptibility kernel and the field. The generalized susceptibility kernel depends
on one spatial and two time coordinates. The concept of wave splitting
is introduced. The direct and inverse scattering problems are solved by the
use of an imbedding or a Green functions approach. The direct and the... (More) - 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
susceptibility kernel and the field. The generalized susceptibility kernel depends
on one spatial and two time coordinates. The concept of wave splitting
is introduced. The direct and inverse scattering problems are solved by the
use of an imbedding or a Green functions approach. The direct and the inverse
scattering problems are solved for a homogeneous semi-infinite medium.
Explicit algorithms are developed. In this inverse scattering problem, a function
depending on two time coordinates is reconstructed. Several numerical
computations illustrate the performance of the algorithms. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530273
- author
- Åberg, Ingegerd ; Kristensson, Gerhard LU and Wall, David J. N.
- organization
- publishing date
- 1994
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)
- pages
- 26 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7030
- language
- English
- LU publication?
- yes
- additional info
- Published version: Inverse Problems, 11(1), 29-49, 1995.
- id
- 798b937c-8919-406c-af72-a202fc9c36b2 (old id 530273)
- date added to LUP
- 2016-04-04 13:37:09
- date last changed
- 2018-11-21 21:15:09
@techreport{798b937c-8919-406c-af72-a202fc9c36b2,
abstract = {{Wave propagation of transient electromagnetic waves in time-varying media<br/><br>
is considered. The medium, which is assumed to be inhomogeneous and dispersive,<br/><br>
lacks invariance under time translations. The spatial variation of<br/><br>
the medium is assumed to be in the depth coordinate, i.e., it is stratified.<br/><br>
The constitutive relations of the medium is a time integral of a generalized<br/><br>
susceptibility kernel and the field. The generalized susceptibility kernel depends<br/><br>
on one spatial and two time coordinates. The concept of wave splitting<br/><br>
is introduced. The direct and inverse scattering problems are solved by the<br/><br>
use of an imbedding or a Green functions approach. The direct and the inverse<br/><br>
scattering problems are solved for a homogeneous semi-infinite medium.<br/><br>
Explicit algorithms are developed. In this inverse scattering problem, a function<br/><br>
depending on two time coordinates is reconstructed. Several numerical<br/><br>
computations illustrate the performance of the algorithms.}},
author = {{Åberg, Ingegerd and Kristensson, Gerhard and Wall, David J. N.}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7030}},
series = {{Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)}},
title = {{Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems}},
url = {{https://lup.lub.lu.se/search/files/6164397/624862.pdf}},
year = {{1994}},
}