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Direct and inverse scattering in the time domain for a dissipative wave equation. Part 2: Simultaneous reconstruction of dissipation and phase velocity profiles

Kristensson, Gerhard LU and Krueger, Robert J (1986) In Journal of Mathematical Physics 27(6). p.1683-1693
Abstract
The one-dimensional inverse scattering problem for inhomogeneous lossy media is considered. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying conductivity and permittivity. Two inversion algorithms are developed in the time domain using data obtained from normally incident plane waves. These algorithms utilize reflection data from both sides of the medium, and one of them also uses transmission data. These algorithms are implemented numerically on several examples, one of which includes the effects of noisy data. The possibility of using one-sided reflection data and no transmission data is reviewed and analyzed.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
27
issue
6
pages
1683 - 1693
publisher
American Institute of Physics
ISSN
0022-2488
DOI
10.1063/1.527084
language
English
LU publication?
no
id
0e819e6d-290d-4108-8242-96a3bb700d3a (old id 1038397)
alternative location
http://link.aip.org/link/?JMAPAQ/27/1683/1
date added to LUP
2008-02-27 14:00:01
date last changed
2016-06-29 09:14:41
@misc{0e819e6d-290d-4108-8242-96a3bb700d3a,
  abstract     = {The one-dimensional inverse scattering problem for inhomogeneous lossy media is considered. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying conductivity and permittivity. Two inversion algorithms are developed in the time domain using data obtained from normally incident plane waves. These algorithms utilize reflection data from both sides of the medium, and one of them also uses transmission data. These algorithms are implemented numerically on several examples, one of which includes the effects of noisy data. The possibility of using one-sided reflection data and no transmission data is reviewed and analyzed.},
  author       = {Kristensson, Gerhard and Krueger, Robert J},
  issn         = {0022-2488},
  language     = {eng},
  number       = {6},
  pages        = {1683--1693},
  publisher    = {ARRAY(0x887a080)},
  series       = {Journal of Mathematical Physics},
  title        = {Direct and inverse scattering in the time domain for a dissipative wave equation. Part 2: Simultaneous reconstruction of dissipation and phase velocity profiles},
  url          = {http://dx.doi.org/10.1063/1.527084},
  volume       = {27},
  year         = {1986},
}