Pseudo-bessel pattern generation employing linear and non linear synthesis of a hexagonal antenna array

A closed-form expression is produced for the array factor of the electronically scanned, general hexagonal geometry. The underlying arguments depend upon a rotational, symmetry cleavage of the hexagon into six congruent planar geometries. and, for each such planar, the adoption of phase change in the observation space. The geometry is experimented to produce a radiation pattern which represents Bessel like characteristics(Pseudo-Bessel). The pattern synthesis is supported by an echolocation based algorithm is search the optimized current excitations and inter element spacing of the active elements in the antenna array.