Synthesis of the multibeams reflector antenna directivity patterns on the given magnitude

The problem of synthesis of the given shape contoured directivity pattern of a spacecraft hybrid antenna with the purpose of uniform "illumination" of the some territorial zone is considered. The variational formulation of the synthesis problem according to the given magnitude pattern is used. The mean-square deviation of given and synthesized magnitudes is chosen as an optimization criterion. It permits one to improve the approximation quality of the magnitudes, to influence the polarized properties of synthesized directivity patterns, and also to satisfy set additional requirements. Examples of synthesis of the contoured directivity patterns, which cover the given territory uniformly are presented. In these examples, the hybrid antenna consisting of a rectangular cutting from a parabolic reflector and a feed array is used.