The inverse electromagnetic scattering problem for a mixed boundary value problem for screens

We consider the inverse scattering problem of determining the shape of mixed perfectly conducting-impedance screens from a knowledge of the incident time harmonic electromagnetic plane wave and the electric far field pattern of the scattered wave. We adapt the linear sampling method invented by Colton and Kirsch (Inverse Problems 12 (1996) 383) for the case of scattering by obstacles with nonempty interior. Numerical examples are given for mixed screens in R3.