A Fixed Energy Fixed Angle Inverse Uniqueness in Interior Transmission Problem

Abstract

We transform an inverse scattering problem to be an interior transmission problem. We find an inverse uniqueness on the scatterer with a knowledge of a fixed interior transmission eigenvalue. By examining the solution in a series of spherical harmonics at far fields, we can decide the perturbation uniquely for the radially symmetric perturbations.

References in corpus (1)

• The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation