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The Bremmer series for a multi-dimensional acoustic scattering problem

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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.

Publishing year

2000

Language

English

Pages

1921-1932

Publication/Series

Journal of Physics A: Mathematical and General

Volume

33

Issue

9

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Research group

  • Electromagnetic theory

ISBN/ISSN/Other

  • ISSN: 0305-4470