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Analysis of an infinite array of waveguides with a pair of double ridges

An infinite array of rectangular waveguides with two double ridges has been analyzed. This includes the numerical determination of up to 15 waveguide modes using Galerkin's method, and the coupling with the free space Floquet modes at the antenna aperture. A lattice was chosen, similar to that of Farrell and Kuhn [l], which includes an aperture resonance, in order to check the validity of our results. The exact waveguide dimensions could not be used as a waveguide with paired double ridges has lower cut-off frequencies and would be overmoded. No attempt to match the element at the aperture was made, but as the E plane reflection coefficient is reasonably constant in magnitude and phase for moderate scan angles, a better match should be obtainable by well known methods.