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On a class of optimum aperture distributions for pattern shaping

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1 Author(s)
D. Rhodes ; North Carolina State University, Raleigh, NC, USA

A class of optimum aperture distributions that gives the best mean-square approximation with weight factor ( 1 - \eta^{2})^\alpha to any given pattern space factor for an arbitrarily prescribed value of a generalized superdirectivity ratio \gamma _{\alpha } is derived for all \alpha > -1 . For \alpha = 0 the parameter \gamma _{\alpha } becomes Taylor's superdirectivity ratio \gamma and the \gamma _{\alpha } -constrained solution reduces simply to a \gamma - constrained solution published earlier. But for \alpha = -frac{1}{2}, frac{1}{2} , or 1 the solution becomes the best, or near best, Q -constrained solution in the sense of least radiated power in the error pattern for the case of E -plane strip source antennas or of H -plane strip or line-source antennas, respectively. Thus, for strip or line source antennas the new solution possesses an important physical interpretation that the earlier solution did not.

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IEEE Transactions on Antennas and Propagation  (Volume:20 ,  Issue: 3 )