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

Abstract

This paper summarizes the research activities conducted at the University of Siena during the past six years on the truncated Floquet wave diffraction theory under the continuous guidance of Professor Felsen. During that period, we have analyzed and validated the diffraction phenomena in both the frequency and time domains pertaining to large planar phased arrays of different topologies and with quite general excitation profiles. The associated canonical dipole array Green’s functions (AGFs) have been expressed in terms of constituents in a generalized high frequency asymptotic, periodicity-adapted, Floquet wave (FW)-modulated uniform geometrical theory of diffraction (UTD), which highlights the relevant wave physics. The present paper summarizes the essentials of these AGFs for large planar rectangular phased dipole arrays in free space, escalating sequentially from free-space geometries to multilayered media, with the eventual utilization of the Method of Moments (MoM) for practical applications. Particular emphasis is given to those aspects which are in progress, and have not yet appeared in print.