The Bremmer series for a multi-dimensional acoustic scattering problem
(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:
https://lup.lub.lu.se/record/530498
- author
- Gustafsson, Mats LU
- organization
- publishing date
- 1999
- 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
- 2018-11-21 21:12:27
@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}}, }