Directivity of a uniformly excited N X N array of directive elements

The directivity characteristics of a uniformly excitedN × Narray of high- or low-gain elements are described. The voltage patterns of the individual elements were assumed to be of the formcosᵐ ₁(Kθ)/Kθ, wheremandKare parameters used to vary the element pattern beamwidths. Directivity curves are presented as a function of the element spacing in wavelengths withNas a parameter (N = 2, 3, 4, 5, 6, 8, 10, and 12) for the Bessel element pattern. The array directivity characteristics using the cosine element pattern are not greatly different from those computed using the Bessel element pattern. Comparisons between the computed and measured directivities of two array configurations show good agreement.