Side Radiation of the Pyramidal Horn

In this paper a theoretical model is developed which provides predictions for the side radiation of a linearly polarized pyramidal horn. The theoretical model has been based on the asymptotic solutions of a canonical problem which has been recently reported by Kritikos. In this canonical problem it was shown that a half infinite aperture backed by a half infinite plane of a perfect conductor can be effectively replaced by line sources with an appropriate pattern. The line sources are electric or magnetic currents corresponding to an electric field in the aperture which is parallel or perpendicular to the wedge. Using this model the approximation is made that the aperture field in the shadow region can be represented by four line current s . The four line currents correspond to the four edges of the horn.