Kress, RainerRainerKressRundell, W.W.Rundell2018-11-072018-11-072001https://resolver.sub.uni-goettingen.de/purl?gro-2/21383We consider the inverse problem of determining both the shape and the impedance of a two-dimensional scatterer from a knowledge of the far-field pattern of the scattering of time-harmonic acoustic or electromagnetic waves by solving the ill posed nonlinear equation for the operator that maps the boundary and the boundary impedance of the scatterer onto the far-field pattern. We establish results on the injectivity of the linearized map and obtain satisfactory reconstructions by a regularized Newton iteration.conference_paper10.1088/0266-5611/17/4/334000170573300035