Direct and inverse scattering in the time domain for a dissipative wave equation. Part 4: Use of phase velocity mismatches to simplify inversions
(1989) In Inverse Problems 5(3). p.375-388- Abstract
- For pt.III see J. Math. Phys., vol.28, p.260 (1987). The one-dimensional inverse scattering problem is considered for lossy inhomogeneous media for the case in which the phase velocities at the two boundaries of the scatterer do not match that of the host medium. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying permittivity and conductivity. An inversion algorithm which is capable of simultaneously reconstructing both the permittivity and conductivity is derived and tested numerically. It is shown that the discontinuity in phase velocity simplifies the data requirements for the inverse problem in that only one scattering experiment needs to be performed, rather than two.... (More)
- For pt.III see J. Math. Phys., vol.28, p.260 (1987). The one-dimensional inverse scattering problem is considered for lossy inhomogeneous media for the case in which the phase velocities at the two boundaries of the scatterer do not match that of the host medium. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying permittivity and conductivity. An inversion algorithm which is capable of simultaneously reconstructing both the permittivity and conductivity is derived and tested numerically. It is shown that the discontinuity in phase velocity simplifies the data requirements for the inverse problem in that only one scattering experiment needs to be performed, rather than two. The input data for the inversion algorithm consist of a finite time trace of the reflected field or, alternatively, portions of the reflected and transmitted fields. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1038413
- author
- Kristensson, Gerhard LU and Krueger, Robert J
- publishing date
- 1989
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Inverse Problems
- volume
- 5
- issue
- 3
- pages
- 375 - 388
- publisher
- IOP Publishing
- external identifiers
-
- scopus:0347789489
- ISSN
- 0266-5611
- DOI
- 10.1088/0266-5611/5/3/010
- language
- English
- LU publication?
- no
- id
- 7ea496e9-7790-45b6-92b5-5934a5e5c9a6 (old id 1038413)
- date added to LUP
- 2016-04-04 08:07:00
- date last changed
- 2021-01-03 09:01:41
@article{7ea496e9-7790-45b6-92b5-5934a5e5c9a6, abstract = {{For pt.III see J. Math. Phys., vol.28, p.260 (1987). The one-dimensional inverse scattering problem is considered for lossy inhomogeneous media for the case in which the phase velocities at the two boundaries of the scatterer do not match that of the host medium. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying permittivity and conductivity. An inversion algorithm which is capable of simultaneously reconstructing both the permittivity and conductivity is derived and tested numerically. It is shown that the discontinuity in phase velocity simplifies the data requirements for the inverse problem in that only one scattering experiment needs to be performed, rather than two. The input data for the inversion algorithm consist of a finite time trace of the reflected field or, alternatively, portions of the reflected and transmitted fields.}}, author = {{Kristensson, Gerhard and Krueger, Robert J}}, issn = {{0266-5611}}, language = {{eng}}, number = {{3}}, pages = {{375--388}}, publisher = {{IOP Publishing}}, series = {{Inverse Problems}}, title = {{Direct and inverse scattering in the time domain for a dissipative wave equation. Part 4: Use of phase velocity mismatches to simplify inversions}}, url = {{http://dx.doi.org/10.1088/0266-5611/5/3/010}}, doi = {{10.1088/0266-5611/5/3/010}}, volume = {{5}}, year = {{1989}}, }