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 …

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 …

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 …

For time-harmonic electromagnetic waves scattered by either perfectly conducting or
dielectric bounded obstacles, we show that the fields depend holomorphically on the shape …

Assume that a time-harmonic elastic wave is incident onto a penetrable anisotropic elastic
body embedded in a homogeneous isotropic background medium. The scattering problem …

We establish the holomorphic dependence of the boundary integral operators (BIOs)
comprising the Calderón projector for the Laplacian in two dimensions on the boundary …

A technique introduced by Kress and Päivärinta to establish differentiability of the solution to
obstacle scattering problems with respect to the boundary is extended to the case of the …

We employ domain derivatives to solve inverse electromagnetic scattering problems for
perfect conducting or for penetrable obstacles. Using a variational approach, the derivative …

Consider the scattering of a time-harmonic plane wave by a rigid obstacle which is
embedded in an open space filled with a homogeneous and isotropic elastic medium. An …

We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …