Sampling approach for the discretization of scattering operator in inhomogeneous medium

Abstract

In this paper, a subsurface imaging problem is addressed. In particular, the focus here is to determine a strategy to collect the spatial data allowing to reduce the number of measurement points compared to more common approach. The idea is to sample the scattered field in order to leave unchanged the more significant singular values of the corresponding scattering operator. The proposed strategy results into a non-uniform arrangement of measurement points.