A decomposition method for an interior inverse scattering problem

Fang Zeng; Pablo Suarez; Jiguang Sun

doi:10.3934/ipi.2013.7.291

Article Contents

2013, Volume 7, Issue 1: 291-303. Doi: 10.3934/ipi.2013.7.291

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A decomposition method for an interior inverse scattering problem

1.
Department of Mathematical Sciences, Delaware State University, Dover, DE 19901
2.
Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931

Received: February 2012

Revised: May 2012

Published: February 2013

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Abstract

We consider an interior inverse scattering problem of reconstructing the shape of a cavity. The measurements are the scattered fields on a curve inside the cavity due to one point source. We employ the decomposition method to reconstruct the cavity and present some convergence results. Numerical examples are provided to show the viability of the method.

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Mathematics Subject Classification: Primary: 78A46, 31A10; Secondary: 45Q05.

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