Qualitative Methods in Inverse Electromagnetic Scattering Theory: Inverse Scattering for Anisotropic Media

In recent years, a new approach has been developed in the study of the inverse scattering problem for electromagnetic waves. In this approach, a weak scattering assumption has been avoided, and no use has been made of nonlinear optimization methods. Instead, a study is made of the analytic properties of the far-field operator, and the results of this study are used to determine the support of the scattering object together with an estimate of the material properties of the scatterer. This article introduces this new approach in inverse electromagnetic scattering theory, which is called the qualitative approach to inverse scattering theory.