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Abstract
This paper describes a simple, mathematically rigorous method for computing the directivity broadside to a homogeneous, rectangular antenna array in terms of the interelement spacing and the number of elements in each side. The finite extent of the array is accounted for by explicit correction terms, and the limiting value of the directivity as the number of elements becomes infinite is shown to agree with the accepted value deduced by physical arguments. The mathematically rigorous argument predicts the well-known 'dips' observed in the directivity as a function of the ratio of element spacing to wavelength.