Efficient computation of periodic, layered media Green´s functions

Layered media appear in a wide variety of applications, and the periodic Green´s function for such media is especially needed for problems ranging from the analysis of frequency selective surfaces, arrays, and metamaterials to the design of leaky-wave antennas. Integral equation formulations for layered media problems usually employ the mixed potential approach of Michalski, which expresses the Green´s functions involved as superpositions of equivalent TE and TM transmission line quantities that are related to plane wave excitations of the structure. After briefly reviewing the Michalski formulation as applied to periodic problems, we focus on recent approaches for accelerating the computation of periodic Green´s functions, including asymptotic extraction, Ewald summation, and interpolation methods.