Radiation characteristics with power gain for slots on a sphere

Radiation patterns, impedances, and power gains of nonsymmetrically excited narrow slots on a sphere are considered. Numerical calculations of higher order
\phi
-dependent modes of the radiation and admittance functions are discussed. These functions are applied to obtain the radiation characteristics of an equatorial slot backed by a radial transmission line and excited by feed points along the slot periphery. This geometry is treated directly as a boundary value problem, no assumption of aperture field distribution along the slot being made. Further application is shown for half wave slots on the sphere and for determining gains of uniformly excited zonal slots as a function of their location. Experimental results simulating the asymmetrically excited equatorial slot geometry are given.