Electromagnetic scattering from perfectly conducting periodic rough surfaces using complex images technique

Eelectromagnetic analysis of periodic structures is important in the electromagnetic theory. Among them, the electromagnetic wave scattering analysis from rough surfaces is of importance due to both theoretical and practical points of view. For slow variation periodic surfaces the solution can be obtained under the Rayleigh hypothesis in terms of Floquet modes. Integral equation approaches in combination with the method of Moments are among the most frequently used in the solution of scattering problems related to periodic surface due to their flexibility in modeling different geometries. Due to slowly convergence of infinite series periodic Green's function, these methods need much computational time. Different methods have been proposed to accelerate the convergence of periodic green's function.