The Bremmer series for a multi-dimensional acoustic scattering problem
Gustafsson, Mats LU
(2000)
In Journal of Physics A: Mathematical and General
33(9).
p.1921-1932
- 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:
https://lup.lub.lu.se/record/143204
- author
- Gustafsson, Mats
LU
- organization
- publishing date
- 2000
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 33
- issue
- 9
- pages
- 1921 - 1932
- publisher
- IOP Publishing
- external identifiers
-
- scopus:0034628751
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/33/9/314
- language
- English
- LU publication?
- yes
- id
- 0f7a5a26-5130-4834-9b10-c63b435029ed (old id 143204)
- date added to LUP
- 2016-04-01 16:02:55
- date last changed
- 2022-01-28 08:55:19
@article{0f7a5a26-5130-4834-9b10-c63b435029ed,
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.}},
author = {{Gustafsson, Mats}},
issn = {{0305-4470}},
language = {{eng}},
number = {{9}},
pages = {{1921--1932}},
publisher = {{IOP Publishing}},
series = {{Journal of Physics A: Mathematical and General}},
title = {{The Bremmer series for a multi-dimensional acoustic scattering problem}},
url = {{http://dx.doi.org/10.1088/0305-4470/33/9/314}},
doi = {{10.1088/0305-4470/33/9/314}},
volume = {{33}},
year = {{2000}},
}