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The Bremmer series for a multi-dimensional acoustic scattering problem

Publiceringsår: 2000
Språk: Engelska
Sidor: 1921-1932
Publikation/Tidskrift/Serie: J. Phys. A: Math. Gen.
Volym: 33
Nummer: 9
Dokumenttyp: Artikel
Förlag: IOP Publishing Limited


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.



  • Technology and Engineering
  • Mathematics and Statistics
  • Physics and Astronomy


  • ISSN: 0305-4470

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