We survey some of the highlights of inverse scattering theory as it has developed over the
last 15 years, with emphasis on uniqueness theorems and reconstruction algorithms for time …

The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …

Using the single-scattering approximation we invert for the material parameters of an
acoustic two-parameter medium and then for a three-parameter isotropic elastic medium …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

We describe a novel technique, which we call the no response test, to locate the support of a
scatterer from knowledge of a far field pattern of a scattered acoustic wave. The method uses …

The inverse problem the authors consider is to determine the shape of a sound-soft two-
dimensional time-harmonic acoustic scatterer from the knowledge of the scattered far-field …

The inverse scattering problem we are considering in this paper is to determine the shape of
a sound-soft, bounded, connected obstacle from a knowledge of the time-harmonic incident …

The problem of stability for the reconstruction of the scattered field us in the exterior of a
scatterer D from far field data u∞ and for the reconstruction of a sound-soft or sound-hard …

This paper addresses the uniqueness for an inverse acoustic obstacle scattering problem. It
is proved that a general sound-hard polyhedral scatterer in, possibly consisting of finitely …

The linear sampling method is a method to reconstruct the shape of an obstacle in time-
harmonic inverse scattering without a priori knowledge of either the physical properties or …