Convex hull detection of a scattering system in an inhomogeneous background

A recently introduced technique allows to estimate the convex hull of a scattering system from the knowledge of the scattered electric field on an observation domain. The technique has been formulated in the case of homogeneous backgrounds. This paper, referring to 2D geometries, aims to extend the technique to inhomogeneous backgrounds. The investigation region is assumed to be characterized by two different homogeneous mediums: one containing the whole scattering system and one containing the observation domain. A numerical analysis has been carried out in order to evaluate the performances of the technique and its robustness against noise. Some representative results are here discussed.