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Antenna array distributions and their associated patterns are now designed on physical principles, based on placement of zeros of the array polynomial. An overview of the synthesis processes is given. Robust and low Q distributions for linear arrays and circular planar arrays that provide variable sidelobe level pencil beam patterns are treated in detail. Associated difference patterns are included. Individual sidelobes or groups of sidelobes may be adjusted in level. The same technique allows synthesis of an efficient shaped beam, with or without sidelobe adjustment. The ultimate pencil beam array, the superdirective array, is evaluated.>
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R.C. Hansen (1992) studied this question.
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