The Direct and Inverse Scattering Problems for Partially Coated Obstacles
Date
2002
Authors
Cakoni, Fioralba
Colton, David
Monk, Peter B.
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematical Sciences
Abstract
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.
Description
Keywords
inverse scattering , mixed boundary conditions , Lipschitz domains , linear sampling method