Inverse scattering from an orthotropic medium
The authors consider the scattering of time harmonic electromagnetic waves by a two-dimensional orthotropic medium with constant dielectric. In the first part, they study the direct problem by boundary integral equation methods. The fundamental solution and the single- and double-layer potentials are constructed via transformation to the classical Helmholtz equation. The second part is devoted to the inverse scattering problem. This is the problem to determine the refractive index from measurements of the far field pattern. A uniqueness result is proven and a numerical method for the reconstruction of the index of refraction is proposed. Some numerical results demonstrate advantages and disadvantages of the method.
scientific article; zbMATH DE number 1043288