A new computationally efficient technique for modeling periodic structures with applications to EBG, FSSs and metamaterials

In this paper we describe a novel technique for analyzing periodic structures that bypasses the use of the periodic boundary condition (PBC), and thus circumvents the slowness problem encountered in the construction of the periodic Green´s function when using the Method of Moments (MoM), and the instability problem arising in the Finite Difference Time Domain (FDTD) analysis for wide angles of incidence. The basic strategy followed in the proposed approach is to generate the desired solution of the periodic problem by first analyzing a truncated version of the same, and then predicting the asymptotic limit of the solution of the truncated problem by using an efficient extrapolation technique that needs to work with only a moderate-size truncated structure to generate the desired solution of the doubly-infinite periodic configuration.