New solutions to synthesis problem of plane array with hexagonal geometry

Variational approach is applied for solving the synthesis problem of plane hexagonal array according to the prescribed power radiation pattern (RP). The mean-square deviation of the prescribed and synthesized RPs in sum with squared norm of currents in the array elements is used as criterion of optimization. The investigation of solution to the respective nonlinear equation has been carried out. The numerical results testify the effectiveness of the approach proposed.