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The Bremmer series for a multi-dimensional acoustic scattering problem

Gustafsson, Mats LU (1999) In Technical Report LUTEDX/(TEAT-7079)/1-15/(1999) TEAT-7079.
Abstract
The Bremmer series is used to reduce a complex scattering problem to a

sequence of simpler single scattering problems. In the Bremmer series, the

wave equation is first decomposed into a coupled system of one-way wave

equations. The system is then decoupled into a sequence of one-way wave

equations with a fixed point iteration. In this paper, a left symbol representation

of the decomposition operator and the vertical-propagation operator

are used. Time-domain convergence of the Bremmer series is shown for a

set of dispersive medium models. The non-dispersive case is treated with an

approximation procedure.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)
volume
TEAT-7079
pages
15 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
f201747d-d639-4eb6-9d0c-093a1a6fffdf (old id 530498)
date added to LUP
2007-09-07 08:16:39
date last changed
2016-10-11 08:20:03
@misc{f201747d-d639-4eb6-9d0c-093a1a6fffdf,
  abstract     = {The Bremmer series is used to reduce a complex scattering problem to a<br/><br>
sequence of simpler single scattering problems. In the Bremmer series, the<br/><br>
wave equation is first decomposed into a coupled system of one-way wave<br/><br>
equations. The system is then decoupled into a sequence of one-way wave<br/><br>
equations with a fixed point iteration. In this paper, a left symbol representation<br/><br>
of the decomposition operator and the vertical-propagation operator<br/><br>
are used. Time-domain convergence of the Bremmer series is shown for a<br/><br>
set of dispersive medium models. The non-dispersive case is treated with an<br/><br>
approximation procedure.},
  author       = {Gustafsson, Mats},
  language     = {eng},
  pages        = {15},
  publisher    = {ARRAY(0x980b730)},
  series       = {Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)},
  title        = {The Bremmer series for a multi-dimensional acoustic scattering problem},
  volume       = {TEAT-7079},
  year         = {1999},
}