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The Bremmer series for a multi-dimensional acoustic scattering problem

Gustafsson, Mats LU orcid (1999) In Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)
pages
15 pages
publisher
[Publisher information missing]
report number
TEAT-7079
language
English
LU publication?
yes
additional info
Published version: J. Phys. A: Math. Gen., Vol. 33, No. 9, pp. 1921-1932, 2000.
id
f201747d-d639-4eb6-9d0c-093a1a6fffdf (old id 530498)
date added to LUP
2016-04-04 13:09:12
date last changed
2025-11-19 10:35:20
@techreport{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}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7079}},
  series       = {{Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)}},
  title        = {{The Bremmer series for a multi-dimensional acoustic scattering problem}},
  url          = {{https://lup.lub.lu.se/search/files/6061597/624916.pdf}},
  year         = {{1999}},
}