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
Recommended Citation
Zeng, F.,
Liu, X.,
Sun, J.,
&
Xu, L.
(2017).
Reciprocity gap method for an interior inverse scattering problem.
Journal of Inverse and Ill-Posed Problems,
25(1), 57-68.
http://doi.org/10.1515/jiip-2015-0064
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/13473