We discuss the role of uncertainties in the knowledge of the background in inverse scattering for a buried object under the distorted Born approximation. In particular, we focus on the role played by 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 us to show how reconstruction of an inhomogeneity in a three-layered medium is more critical than in the case of a half-space (two-layered) geometry.
© 2004 Optical Society of America
Original Manuscript: May 24, 2004
Revised Manuscript: July 16, 2004
Manuscript Accepted: July 16, 2004
Published: December 1, 2004
Raffaele Persico and Francesco Soldovieri, "Effects of uncertainty on background permittivity in one-dimensional linear inverse scattering," J. Opt. Soc. Am. A 21, 2334-2343 (2004)