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A new hybrid technique has been recently proposed for the analysis of large periodic arrays. This method is based on a high-frequency representation of the active Green's function of a finite array, involving a Floquet wave (FW) expansion with the relevant edge and vertex diffracted ray fields originating at the array border. Using this representation, the unknown current of an appropriate fringe integral equation is expanded in terms of a few basis functions shaped as FW-induced diffracted rays. This representation drastically reduces the numerical effort and provides a physical insight into the mechanism of the array truncation. In this paper, this method is applied to the analysis of large arrays of rectangular waveguides opened on an infinite ground plane. Numerical results are shown to demonstrate the effectiveness and the numerical efficiency of the method.Index Terms-Antenna phased arrays, electromagnetic wave diffraction, method of moments (MoM), periodic structures.

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Recently, an efficient hybrid asymptotic-method of moments (MoM) approach has been proposed for the analysis of large periodic planar arrays of elements excited with equal amplitude and linear phase. The aforementioned method, which is based on a Floquet wave diffraction representation of the array Green's function (AGF), is here extended to treat arrays with tapered amplitude excitation. To this end, the asymptotic AGF is refined by introducing additional "slope" diffraction contributions. An appropriate "fringe" integral equation, solved via a MoM scheme, provides the effects of array truncation in addition to the infinite array solution. The dimension of the corresponding linear algebraic system is independent of the number of elements of the array. Numerical results are provided to prove the accuracy and the efficiency of this method with respect to an ordinary element-by-element MoM.Index Terms-Antenna phased arrays, electromagnetic wave diffraction, method of moments (MoM), periodic structures.