The far field operator for a multilayered scatterer,

In this paper, we consider the inverse problem of the scattering of a plane acoustic wave by a multilayered scatterer; especially we study the properties of the corresponding far field operator. This problem models time-harmonic acoustic or electromagnetic scattering by a penetrable homogeneous medium with an impenetrable core. The discussion is essential for numerical approximation of the corresponding inverse problem, i.e., from the knowledge of the far field patterns to model the shape of the scatterer.