Bayesian Method for Shape Reconstruction in the Inverse Interior Scattering Problem

الملخص EN

The inverse scattering problem of an interior cavity with three different boundary conditions is considered.

Bayesian method is used to reconstruct the shape of the cavity from scattered fields incited by point source(s) and measured on a closed curve inside the cavity.

We prove the well-posedness in Bayesian perspective and present numerical examples to show the viability of the method.