Pattern synthesis with a flush-mounted leaky-wave antenna on a conducting circular cylinder

This paper is co nce rned wit h the synthesis of a rad iation pattern in an eq uatorial p la ne s urrounding an infini te circu lar cy linder. A discussion of t he rad iation fi eld a bout s uch a c y linder leads to t he conclusion t hat a leaky-wave ante nn a can be ut ilized to provide the proper aperture d ist ribu t ion. Wi t h ka chosen sufficien t ly large to e nsure that prior theory concern ing t he inductive s lleet leaky-wave antenn a will apply, a Chebyshev distribut ion is a na lyzed . It is s hown that t he order of t he Chebys hev polynomina l mu st sat isfy N < ka cos "'0 sin 5N , wh er e