ABSTRACT
This chapter aims to provide a simple framework for field representation in infinite periodic structures that are excited by a single source. It deals with the most common case of a structure that is periodic in two directions and composed of one or more layered arrays of three-dimensional (3D) elements. The chapter discusses some of the basic mathematical and numerical issues encountered when implementing the array scanning method (ASM). It summarizes the basic field behavior for the field excited by a single source located in proximity to a periodic artificial materials (PAM). It has been shown that the total field consists of two parts, a spatial field and a sum of guided modes that propagate outward from the source along the PAM. In the far-zone region near the PAM, this field consists of a cylindrical wavefront together with an infinite set of Floquet waves induced by the periodicity.
