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A hybrid method for inverse scattering for shape and impedance

Pedro Serranho

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We present a hybrid method to numerically solve the inverse scattering problem for shape and impedance, given the far-field pattern for one incident direction. This method combines ideas of both iterative and decomposition methods, inheriting the advantages of each of them, such as getting good reconstructions and not needing a forward solver at each step. An optimization problem is presented as the theoretical background of the method and numerical results show its feasibility.


PACS

43.20.Fn Scattering of acoustic waves

02.30.Jr Partial differential equations

02.60.Jh Numerical differentiation and integration

02.30.Zz Inverse problems

MSC

65M32 Inverse problems

65J22 Inverse problems

Subjects

Mathematical physics

Computational physics

Dates

Issue 2 (April 2006)

Received 5 December 2005

Published 27 March 2006



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