Numerical Analysis and Validation of the Combined Field Surface Integral Equations for Electromagnetic Scattering by Arbitrary Shaped Two-Dimensional Anisotropic Objects

The numerical solution of coupled integral equations for arbitrary shaped two-dimensional homogeneous anisotropic scatterers is presented. The theoretical and the numerical approach utilized in the solution of the integral equations is based on the combined field formulation, and is specialized to both transverse electric (TE) and transverse magnetic (TM) polarizations. As opposed to the currently available methods for the anisotropic scatterers, this approach involves integration over the surface of the scatterer in order to determine the unknown surface electric and magnetic current distributions. The solution is facilitated by developing a numerical approach employing the method of moments. The various difficulties involved in the course of the numerical effort are pointed out, and the ways of overcoming them are discussed in detail. The results obtained for two canonical anisotropic structures, namely a circular cylinder and a square cylinder, are given along with validations obtained via alternative methods.