The Truncated Floquet Wave Diffraction Theory for Planar Phased Arrays: an Overview

This paper summarizes the research activities conducted at the Uni-versity of Siena during the past six years on the truncated Floquet wave diffractiontheory under the continuous guidance of Professor Felsen. During that period, wehave analyzed and validated the diffraction phenomena in both the frequency andtime domains pertaining to large planar phased arrays of different topologies andwith quite general excitation profiles. The associated canonical dipole array Green’sfunctions (AGFs) have been expressed in terms of constituents in a generalized highfrequency asymptotic, periodicity-adapted, Floquet wave (FW)-modulated uniformgeometrical theory of diffraction (UTD), which highlights the relevant wave physics.The present paper summarizes the essentials of these AGFs for large planar rect-angular phased dipole arrays in free space, escalating sequentially from free-spacegeometries to multilayered media, with the eventual utilization of the Method ofMoments (MoM) for practical applications. Particular emphasis is given to thoseaspects which are in progress, and have not yet appeared in print