The Direct and Inverse Scattering Problems for Partially Coated Obstacles
Monk, Peter B.
Department of Mathematical Sciences
We 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.
inverse scattering , mixed boundary conditions , Lipschitz domains , linear sampling method