Modeling of periodic and quasi-periodic structures by the MoM/BI-RME method

This paper outline the basic theory and describes the most significant applications of the MoM/BI-RME method for the modeling of either planar periodic or shielded structures. This method is based on the solution of an integral equation by the Method of Moments (MoM) with entire-domain basis functions. In the case of arbitrarily shaped domains, the basis functions are calculated numerically by the Boundary Integral-Resonant Mode Expansion (BI-RME) method. The MoM/BI-RME method has been applied to the modeling of frequency selective surfaces under plane wave illumination, reflectarrays, shielded microwave printed circuits, and metallo-dielectric electromagnetic band-gap structures. Moreover, it is shown how the combination of the MoM/BI-RME with a plane-wave expansion of the impinging field allows for the determination of the transmitted/reflected electromagnetic field by a periodic surface under an arbitrary illumination.