Direct and inverse scattering in the time domain for a dissipative wave equation. Part 2: Simultaneous reconstruction of dissipation and phase velocity profiles
(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:
https://lup.lub.lu.se/record/1038397
- author
- Kristensson, Gerhard LU and Krueger, Robert J
- publishing date
- 1986
- 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 (AIP)
- external identifiers
-
- scopus:36549093111
- 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
- 2016-04-04 09:36:40
- date last changed
- 2021-04-11 05:49:54
@article{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 = {{American Institute of Physics (AIP)}}, 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}}, doi = {{10.1063/1.527084}}, volume = {{27}}, year = {{1986}}, }