Cakoni, FioralbaColton, DavidMonk, Peter B.2005-02-162005-02-162002http://udspace.udel.edu/handle/19716/328We consider the direct and inverse scattering problems for partially coated obstacles. To this end, we first use the method of integral equations of the first kind to solve a scattering problem for the Helmholtz equation where the scattered field satisfies mixed Dirichlet-impedance boundary conditions on the Lipschitz boundary of the scatterer D. We then use the linear sampling method to solve the inverse scattering problem of determining D from a knowledge of the far field pattern of the scattered field. Numerical examples are given showing the performance of the linear sampling method in this case.13236532 bytesapplication/pdfen-USinverse scatteringmixed boundary conditionsLipschitz domainslinear sampling methodTechnical Report