An efficient method for the electromagnetic analysis of slotted-waveguide antenna arrays

A rigorous method for the analysis of a broad class of multielement slotted-waveguide antenna arrays is described. The original electromagnetic problem is reduced to a system of integrodifferential equations, which is efficiently solved on the basis of the Galerkin method with consideration for the edge singularity of the electromagnetic field. The basis functions are the weighted Chebyshev polynomials of the first and second kinds. The accuracy of the obtained results is confirmed via comparison with available experimental and theoretical results. Features of the frequency characteristics of nonresonant arrays are analyzed.