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The Bremmer series for a multi-dimensional acoustic scattering problem

Publiceringsår: 1999
Språk: Engelska
Sidor: 15
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7079)/1-15/(1999)
Dokumenttyp: Rapport
Ytterligare information: Published version: J. Phys. A: Math. Gen., Vol. 33, No. 9, pp. 1921-1932, 2000.


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



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