Regular Uniform Arrays

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

 

Array factor equation

(6)

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

 

Element position vector equation.

(7)

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 NuxNv array becomes

 

Array factor equation.

(8)