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Direct and inverse scattering in the time domain for a dissipative wave equation. Part 3: Scattering operators in the presence of a phase velocity mismatch

Kristensson, Gerhard LU and Krueger, Robert J (1987) In Journal of Mathematical Physics 28(2). p.360-370
Abstract
The direct scattering problem for an inhomogeneous lossy medium is examined for the one-dimensional case in which the phase velocity profile is discontinuous at the boundaries of the medium. Scattering operators (or impulse responses) and propagation operators are defined and equations that govern their behavior are developed. Knowledge of the scattering kernels for one round trip in the medium implies that the scattering kernels can be determined on any time interval. Numerical examples are presented. It is also shown that this scattering problem is reducible to one in which there are no phase velocity mismatches. This reduction provides considerable numerical advantage in the solution of the direct scattering problem. The inverse problem... (More)
The direct scattering problem for an inhomogeneous lossy medium is examined for the one-dimensional case in which the phase velocity profile is discontinuous at the boundaries of the medium. Scattering operators (or impulse responses) and propagation operators are defined and equations that govern their behavior are developed. Knowledge of the scattering kernels for one round trip in the medium implies that the scattering kernels can be determined on any time interval. Numerical examples are presented. It is also shown that this scattering problem is reducible to one in which there are no phase velocity mismatches. This reduction provides considerable numerical advantage in the solution of the direct scattering problem. The inverse problem is examined in a companion paper. (Less)
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
28
issue
2
pages
360 - 370
publisher
American Institute of Physics
ISSN
0022-2488
DOI
10.1063/1.527667
language
English
LU publication?
no
id
c5b58d61-f23b-4609-91b7-100d3ebcdec6 (old id 1038410)
alternative location
http://link.aip.org/link/?JMAPAQ/28/360/1
date added to LUP
2008-02-27 14:04:18
date last changed
2016-06-29 09:12:18
@misc{c5b58d61-f23b-4609-91b7-100d3ebcdec6,
  abstract     = {The direct scattering problem for an inhomogeneous lossy medium is examined for the one-dimensional case in which the phase velocity profile is discontinuous at the boundaries of the medium. Scattering operators (or impulse responses) and propagation operators are defined and equations that govern their behavior are developed. Knowledge of the scattering kernels for one round trip in the medium implies that the scattering kernels can be determined on any time interval. Numerical examples are presented. It is also shown that this scattering problem is reducible to one in which there are no phase velocity mismatches. This reduction provides considerable numerical advantage in the solution of the direct scattering problem. The inverse problem is examined in a companion paper.},
  author       = {Kristensson, Gerhard and Krueger, Robert J},
  issn         = {0022-2488},
  language     = {eng},
  number       = {2},
  pages        = {360--370},
  publisher    = {ARRAY(0xbbfb338)},
  series       = {Journal of Mathematical Physics},
  title        = {Direct and inverse scattering in the time domain for a dissipative wave equation. Part 3: Scattering operators in the presence of a phase velocity mismatch},
  url          = {http://dx.doi.org/10.1063/1.527667},
  volume       = {28},
  year         = {1987},
}