To numerical solution of synthesis problem of flat aperture according to the given requirements to amplitude directivity pattern

One approach to numerical solution of two-dimensional nonlinear spectral problem arising in the synthesis problems of antenna with flat radiating aperture according to the given requirements to amplitude directivity pattern is stated. Nonuniqueness and branching of the solutions is characteristic property of nonlinear synthesis problems. Finding the optimum solutions is reduced to investigation and numerical solution of Hammerstein type nonlinear two-dimensional integral equation. Numerical algorithms for finding the branching lines and branch off solutions to this equation are constructed and justified. Numerical examples are given.