Corrugated-Conical Horn Analysis Using Aperture Field With Quadratic Phase

An approximation of the far-field radiation pattern of the corrugated-conical horn, by integration of the aperture field, augmented with perimeter-matched quadratic radial phase, is sufficient to establish a baseline design for the feedhorn of a satcom antenna system. The approximated far-field patterns compare well to more formal analysis methods, even reasonably so in the main beam with a semi-flare angle as wide as 45 deg for the first two angular modes. The field equations are presented in a compact complex exponential form, from which the components corresponding to excitation with any polarization sense may be obtained (either sense of circular/elliptical polarization or linear polarization with arbitrary orientation).