Moment method analysis of finite rectangular waveguide phased arrays

A method of moments formulation for small finite planar phased arrays of rectangular waveguides in an infinite ground plane is investigated. Piecewise sinusoidal-uniform surface patches are used as the basis and testing functions for the unknown equivalent magnetic currents of each aperture. The block-Toeplitz symmetry property for rectangular grid arrays is utilized in the solution of the system of equations. Data are presented for 11 x 11 arrays with various element sizes, element spacings, and scan angles. Good agreement with data in the literature is shown. The analysis is particularly efficient for E-plane and H-plane scans for arrays having rectangular waveguide-fed apertures excited by the dominant mode.