IPI
A decomposition method for an interior inverse scattering problem
Fang Zeng Pablo Suarez Jiguang Sun
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.
IPI
The reciprocity gap method for a cavity in an inhomogeneous medium
Fang Zeng Xiaodong Liu Jiguang Sun Liwei Xu
We consider an interior inverse medium problem of reconstructing the shape of a cavity. Both the measurement locations and point sources are inside the cavity. Due to the lack of a priori knowledge of physical prosperities of the medium inside the cavity and to avoid the computation of background Green's functions, the reciprocity gap method is employed. We prove the related theory and present some numerical examples for validation.
keywords: inhomogeneous medium reciprocity gap method. Interior inverse scattering problem

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