Abstract
The antenna pattern synthesis problem for a finite line source is formulated and treated in the space of absolutely square-integrable functions. An examination is made of the condition that must be imposed on the desired radiation pattern so that the problem is solvable. The optimum aperture distribution is determined by the variational technique, subject to the requirement that the approximating radiation patterns should have a superdirective ratio less than or equal to some fixed positive value. The optimality of the solution is demonstrated by considering the sufficient condition. The error criterion is measured in the mean-square sense.
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