Accelerating the Spectral Domain Moment Method for reflectarray´s by two-orders of magnitude

The Spectral Domain Moment Method (SDMoM) as applied to reflectarray antennas is unique over that of the Space Domain Formulation in that the impedance matrix elements do not contain highly oscillatory exponential terms as they become absorbed in the transform definitions for the basis/testing functions when constructing the EFIE. Since a typical reflectarray contains thousands of elements and the design requires computation of a unique reflection phase curve for each, the computational demand is heavy. Understanding where these demands stem from allow development of methods to help alleviate, this paper both describes the root causes and provides remedies for each. When all remediation´s are implemented, efficiency grows over two orders of magnitude as compared to that of the classical SDMoM.