The scattering/radiation phenomena associated with finite one- and two- dimensional periodic structures has received significant attention in the past several years. A number of quite clever approximation schemes have been proposed in an effort to avoid the explicit time-consuming computation of the whole structure. In this paper, we proposed a hybrid space/spectral-domain Method-of-Moments (MOM) calculation of canonical plane-wave Scattering from Finite Periodic Structures (EPS) comprised of cylindrical cavities in an infinite ground plane. The ability to model a superstrate layer is implicit in this scheme. Most importantly, the technique is significantly more accurate than purely numerical methods, i.e., those in which a discretization of the geometry is necessary. Focusing as well on an efficient algorithm allows us to compete the inter-element MoM reactions explicitly, for both small and large EPS. In what follows, we present a detailed outline of the procedure, with substantiating results reserved for a companion paper let this digest.
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