The Bremmer series for a multi-dimensional acoustic scattering problem
Author
Summary, in English
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.
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.
Publishing year
1999
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
- Other Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7079
Research group
- Electromagnetic theory