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A New Numerical Approach to Planar Phased Arrays

In examining the directivity characteristics of planar phased arrays, an expression in the form of a double summation approximation to the double integration of the array pattern is conventionally used. This procedure is computing time-intensive. In this paper an exact closed-form expression for the directivity function for the case in which the radiation patterns of the elements are nonidentical and nonrotational symmetrical is proposed.