Shape optimization of conformal array antennas

We perform shape optimization for conformal array antennas, where two dependent objectives are considered: (i) good beam-forming capability; and (ii) low active reflection coefficient. The result is a family of designs optimized for low active reflection coefficient as a function of phase modes used for beam forming. The members of the family of designs can be used in the setting of optimizing an entire antenna system, where different characteristics of the array antenna may be desired in different situations.