The inverse scattering problem for dielectric bodies

Abstract

In this paper the inverse problem for dielectric bodies in R³ is considered. We use a system of uniquely solvable integral equations which describes the scattering process in order to compute the scattering amplitudes. Continuity dependence of the far-field patterns upon the shape of the scatterer is proved to stabilise the inverse problem. An optimization scheme is proposed to derive solutions incorporating a priori data about the shape and size of the scatterer and as an example the case of axially symmetric bodies is examined.

Keywords:

• Inverse problems
• electromagnetic scattering