Direct far-field GO synthesis of shaped beam reflector antennas

The problem of synthesising a reflector surface to produce a prescribed far-field radiation pattern when illuminated by a point source feed is treated using the complex co-ordinate method of Westcott. The far-field boundary value problem is formulated on a Cartesian grid and the solution technique demonstrated for two example specifications typical of satellite communication systems. The potential of the design approach is examined through diffraction analysis of shaped antennas derived from the example solutions.