Effects of Uncertainty on Background Permittivity in One Dimensional Linear Inverse Scattering

In this paper we discuss the role played by uncertainties on the knowledge of the reference scenario in the inverse scattering for buried object under the Distorted Born Approximation. In particular, we focus on the role played by the inaccuracy in the knowledge of the dielectric permittivity of the host medium, with reference to both a lossless half-space and a lossless three-layered medium. This investigation allows to show how the case of the three-layered medium is more critical with respect to the case of a half-space (two-layered) geometry.