We discuss the problem of the reconstruction of the profile of an inhomogeneous object from
scattered field data. Our starting point is the contrast source inversion method, where the …

This paper is concerned with computational approaches and mathematical analysis for
solving inverse scattering problems in the frequency domain. The problems arise in a …

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 …

Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

Inverse scattering theory has been a particularly active and successful field in applied
mathematics and engineering for the past twenty years. The increasing demands of imaging …

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 …

We survey the linear sampling method for solving the inverse scattering problem for time-
harmonic electromagnetic waves at fixed frequency. We consider scattering by an obstacle …

The inverse scattering problem for electromagnetic waves is an area of major importance in
applied mathematics. In particular, one can argue that the invention of radar is one of the …

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 …

In this paper a MUSIC (standing for multiple signal classification) algorithm for locating small
inclusions buried in a half-space from the scattering amplitude at a fixed frequency is …