Direct far-field GO synthesis of single-reflector antennas using the extrapolation technique

The application of an extrapolation technique developed by the author (1987) to the direct GO (geometrical optics) synthesis of single-reflector antennas is described. The technique is simple and easily applicable to an arbitrary beam shape. The technique is basically similar to that of dual-reflector shaping, except that only the amplitude of the far field is satisfied within the GO approximation. The problem considered is the synthesis of a reflector surface illuminated by a point source to produce the far GO field. The flat-top spot beam is considered as a simple illustration of the proposed techniques.<>