Element pattern of dually polarized element in infinite phased array

Explicit relations for the pattern of both field components of a dually polarized element in an infinite phased array are established. Calculations of the radiated field are made for an infinite array of circular waveguide apertures for several lattices and scan planes. The computed results are compared with the analytically obtained patterns of an ideal element. The effect of cross polarization on the element patterns is shown for nonprincipal plane scans.