The application of the new nonlinear optimization algorithm to antenna array design is demonstrated by low sidelobe pattern optimization synthesis of axial dipole arrays on cylindrical surfaces. By use of realized gain patterns(RGP) of array elements
we formulate array synthesis as a nonlinearly constrained optimization problem
and use a new direct method to solve this problem. The technique allows one to find a set of array coefficients that yield a pattern meeting a specified sidelobe level with the maximum directivity
if such a set of array coefficients exists. If the specifications cannot be met
the technique will result in a set of array coefficients that yield a pattern meeting the best attainable sidelobe level and having the directivity as high as possible. Also
some numerical results for low sidelobe pattern synthesis are given.