The design of optimal antenna patterns subject to sidelobe constraints is considered. A function space formulation of the antenna pattern shaping problem yields several advantages over currently available techniques for computing optimal line-source excitations. The two basic problems studied are a) maximizing directivity subject to hard, possibly angle-dependent, constraints on the sidelobe level and beamwidth; and b) antenna pattern shaping where the approximating pattern must fit into a known envelope.
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Evans et al. (1975) studied this question.
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