A decomposition method for an interior inverse scattering problem
Fang Zeng Pablo Suarez Jiguang Sun
Inverse Problems & Imaging 2013, 7(1): 291-303 doi: 10.3934/ipi.2013.7.291
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.
keywords: Interior inverse scattering problem decomposition method Helmholtz equations.

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