Singular Integral Equation Approach to Electromagnetic Scattering from a Finite Periodic Array of Conducting Strips

Abstract

An accurate numerical solution for the electromagnetic scattering from a periodic array of a finite number of conducting strips is presented, where the incident plane wave propagates in an arbitrary direction. Both TM and TE polarizations are treated. First, the boundary value problem is formulated into the solution of a set of Fredholm integral equations of the first kind with singular kernels. Then it is regularized to a set of the second kind equations which is numerically solved by the moment method. The present method is much more effective than the moment solution of the first kind equations. This is because the kernel functions of the resulting second kind equations are bounded and smooth, and because the edge condition is automatically taken into account in the course of the regularization. Some numerical examples are shown for the total scattering cross-sections, surface current distributions, and the far-zone scattered fields. The near zone fields are compared with the experimental data.