Optimisation methods for an inverse problem with time-harmonic electromagnetic waves: an inverse problem in electromagnetic scattering

The author considers the reflection of a time-harmonic electromagnetic field at a perfect conductor and treats the inverse problem to determine the shape of the object from the knowledge of the electric far-field pattern. To solve this ill-posed problem approximately the author applies two methods which were introduced respectively by Kirsch and Kress (1987) and by Colton and Monk (1986) for solving the parallel problem for the reflection of acoustic waves at a sound soft obstacle.