Systematic design of a dual offset reflector antenna with an elliptical aperture

The systematic design of an optically shaped dual offset reflector antenna, capable of illuminating a given elliptical aperture over which the phase is uniform and the power is arbitrarily prescribed when fed by a scalar horn, is described in the paper. A conformal mapping transforms the ellipse to a circle, allowing the present problem to be solved by an existing method. Designs based upon Cassegrainian and Gregorian systems are derived.