About branching of solutions of synthesis problem for a flat aperture according to the prescribed amplitude directivity pattern

The synthesis problem of flat aperture according to the prescribed amplitude directivity pattern (DP), which is reduced to investigation and numerical solution of a two-dimensional non-linear integral equation of the Hammerstein type, is considered. The transcendental equations for finding the branching lines of the solutions are obtained. A numerical method of their finding is proposed. For the case of rectangular aperture the investigations of finding the branching-off solutions are given.