A one-parameter circular aperture distribution with narrow beamwidth and low sidelobes

A one-parameter circular aperture distribution is developed which provides an optimum compromise between narrow beamwidth, low sidelobes, and low aperture
Q
. The pattern is a modified
J_{1}(x)/x
, analogous to the Taylor one-parameter modified sin
(x)/x
line source distribution. Sidelobe envelope taper is essentially that of a uniformly excited circular aperture; hence the aperture is low
Q
. The aperture distribution which is rotationally symmetric is given by a modified Bessel function of zero order. Like all high efficiency distributions, it has a pedestal. All antenna quantities, sidelobe ratio, beamwidth, aperture efficiency, and edge taper, are uniquely related to the parameter
H
. A table of these quantities is given for sidelobe ratios up to 50 dB. A typical pattern and several distributions are graphed. This new distribution allows tradeoff studies to be made against any design quantity, with all other quantities determined through the one-parameter.