The Bremmer series for a multi-dimensional acoustic scattering problem

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3 Citations (SciVal)

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.
Original languageEnglish
Pages (from-to)1921-1932
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number9
DOIs
Publication statusPublished - 2000

Subject classification (UKÄ)

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

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