HFSS15: Regular Uniform Arrays

Let us define a uniform array as an array with unity amplitude weights for all elements, i.e., A_n = 1 for all n. For the case in which a uniform array is scanned to direction , the array factor (eq. 2) becomes

(6)

For a "regular" uniform array with element spacing defined by lattice vectors u and v, the element position vectors r_n may be written in the doubly-indexed form

with m = 1, 2, ..., Nu and n = 1, 2, ...., Nv. The total number of elements in the array is given by
N = NuNv.

The array factor (eq. 6) for the Nu x Nv array becomes

(8)