The direct and inverse electromagnetic scattering problem for partially coated obstacles

Fioralba Cakoni

Department of Mathematical Sciences

University of Delaware

We consider the scattering of electromagnetic waves by an anisotropic dielectric partially coated by a thin layer of highly conductivity material, or a perfect conductor partially coated by a dielectric material. These considerations yield mixed type interface or boundary value problems for Maxwell's equations in R3.

Variational approaches for solving the direct scattering problems are presented. Uniqueness and reconstruction results for the inverse problem of determining the support of the scatterer from a knowledge of the incident time harmonic electromagnetic wave and the far field pattern of the scattered wave are given.