Theoretical analysis of a parabolic torus reflector antenna with multibeam

Abstract

The parametric equations and the formulas of unit normal vector and surface element for a parabolic torus reflector antenna are derived and the mechanism of producing multibeam is proposed, Based on physical optics, the radiation pattern formulas for the antenna are given, with which the effects of geometric parameters on the antenna are studied. The good agreement between the calculated patterns and the measured ones shows that the theory is helpful for designing parabolic torus antennas.