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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 <Po is t he angle of radiat ion measured fro m a nor mal to t he cylinder surface, a nd ON is the m ax imum deviat ion from t his a ngle . The radiation angle is given by <po= arc s in ({3 / k), w here (3 is a constant which is t he phase factor of an X-ba nd wa veguid e. Experi m ental work wi th s uch a waveguide, curved in t he H pla ne and flu sh-mounted in a fini te cylind er wi t h ka = 12."., provided radiat ion patterns which closely adhered to t he t heoretical analysis in the frequency range 8 .4 to 11.5 Gc/s.

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