Computation of periodic Green's functions in layered media using complex images technique

Abstract

In this paper, a new method based on the complex images technique has been presented to efficiently compute the Green's functions required in a Mixed Potential Integral Equation (MPIE) analysis of a periodic structure located on a layered medium. This method leads to a closed-form representation of the Green's functions of these periodic structures given in terms of slowly convergent series valid for sub-wavelength as well as super-wavelength cell sizes for all source-point to field-point distances. Comparison between the results obtained by the proposed method and those obtained through other numerical methods verifies its accuracy. Fast convergence, simple final form and versatility of the proposed method are its main advantages which make it suitable for the analysis of the periodic structures using the integral equation techniques.