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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. (1995) In Inverse Problems 11(1). p.29-49
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 are 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 function approach. The direct and the inverse scattering problems are solved for a homogeneous semi-infinite... (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 are 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 function 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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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Inverse Problems
volume
11
issue
1
pages
29 - 49
publisher
IOP Publishing
external identifiers
  • scopus:0002346746
ISSN
0266-5611
DOI
10.1088/0266-5611/11/1/002
language
English
LU publication?
yes
id
bc10009d-e21e-4c80-92a2-eba8b66e3865 (old id 144416)
date added to LUP
2007-07-11 11:08:02
date last changed
2017-01-01 05:05:44
@article{bc10009d-e21e-4c80-92a2-eba8b66e3865,
  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 are 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 function 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.},
  author       = {Åberg, Ingegerd and Kristensson, Gerhard and Wall, David J. N.},
  issn         = {0266-5611},
  language     = {eng},
  number       = {1},
  pages        = {29--49},
  publisher    = {IOP Publishing},
  series       = {Inverse Problems},
  title        = {Propagation of transient electromagnetic waves in time-varying media-direct and inverse scattering problems},
  url          = {http://dx.doi.org/10.1088/0266-5611/11/1/002},
  volume       = {11},
  year         = {1995},
}