“…The direction of the wavefront was considered to be from the elements far from the origin of the coordinate system, towards the element considered as the reference and having (1, 1) coordinate. Without introducing additional phase shifts besides the natural ones due to the displacement of the electromagnetic wavefront, it can be deduced that between the array elements, the path traveled by the plane wave between an element of coordinates (m, n) and the element of coordinates (1, 1) chosen as reference, is given by (1), and the phase difference between the element situated in (m, n) position, and the element (1, 1) is given by (2), where k 0 = 2π/λ 0 represents the free space wave number. Thus, the expression of the radiation pattern of a planar antenna array as a function of the elevation angle θ and the azimuth angle φ can be written as in (3) [29].…”