Uniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming wave
arXiv:2005.04676 · doi:10.1088/1361-6420/abb61c
Abstract
It is proved that a connected polygonal obstacle coated by thin layers together with its surface impedance function can be determined uniquely from the far field pattern of a single incident plane wave. Our proof is based on the Schwarz reflection principle for the Helmholtz equation satisfying the impedance boundary condition on a flat boundary.