Polynomial approach to linear antenna array synthesis problem according to power radiation pattern with restriction on its norm

The synthesis problem for equidistant linear antenna array according to the prescribed power radiation pattern (RP) is generalized by taking into account an additional restriction on the norm of the synthesized RP. The variational approach supplemented by the Lagrange method of multipliers is applied for the formulation of problem. The phase RP is uniquely represented by the complex polynomial of high degree. The modified Newton method is used for numerical solving the respective integral-transcendental equation system. The approach was numerically applied to an example of the antenna array synthesis problem.