Title

Reciprocity gap method for an interior inverse scattering problem

Document Type

Article

Publication Date

2-1-2017

Abstract

© 2017 by De Gruyter. We consider an interior inverse scattering problem of reconstructing the shape of a cavity with inhomogeneous medium inside. We prove a uniqueness theorem for the inverse problem. Using Cauchy data on a curve inside the cavity due to interior point sources, we employ the reciprocity gap method to reconstruct the cavity. Numerical examples are provided to show the effectiveness of the method.

Publication Title

Journal of Inverse and Ill-Posed Problems

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