We give an overview of recent techniques which use a level set representation of shapes for
solving inverse scattering problems. The main focus is on electromagnetic scattering using …

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 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 …

The factorization method is a relatively new method for solving certain types of inverse
scattering problems and problems in tomography. Aimed at students and researchers in …

This paper is concerned with the inverse obstacle scattering problem for time harmonic
plane waves. We derive a factorization of the far field operator F in the form and prove that …

Over the last twenty years, the growing availability of computing power has had an
enormous impact on the classical fields of direct and inverse scattering. The study of inverse …

The goal of the review is to provide a state-of-the-art survey on sampling and probe methods
for the solution of inverse problems. Further, a configuration approach to some of the …

Dipole selection rules underpin much of our understanding in characterization of matter and
its interaction with external radiation. However, there are several examples where these …

This paper develops, within a general framework that is applicable to rather arbitrary
electromagnetic and acoustic remote sensing systems, a theory of time-reversal …

We develop upwind methods which use limited high resolution corrections in the spatial
discretization and local time stepping for forward Euler and second order time …