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Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems

Åberg, Ingegerd; Kristensson, Gerhard LU and Wall, David J. N. (1994) In Technical Report LUTEDX/(TEAT-7030)/1-26/(1994) TEAT-7030.
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)
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Book/Report
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in
Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)
volume
TEAT-7030
pages
26 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
798b937c-8919-406c-af72-a202fc9c36b2 (old id 530273)
date added to LUP
2007-09-06 11:15:49
date last changed
2016-08-03 13:31:35
@misc{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.},
  language     = {eng},
  pages        = {26},
  publisher    = {ARRAY(0x9fc29e0)},
  series       = {Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)},
  title        = {Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems},
  volume       = {TEAT-7030},
  year         = {1994},
}