Design of circular apertures for narrow beamwidth and low sidelobes

Abstract

This article extends a method of antenna design described in an earlier article by the same author. A family of continuous circular aperture distributions is developed in such a way as to involve only two independent parameters, <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A</tex> , a quantity uniquely related to the design sidelobe level and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\bar{n}</tex> a number controlling the degree of uniformity of the sidelobes. An asymptotic approach to the condition of uniform sidelobes thus becomes possible. A companion article by Robert Hansen contains aperture distribution tables and examples.