Synthesis of dual-offset shaped reflectors for arbitrary aperture shapes using continuous domain deformation

The systematic synthesis of an optically shaped dual-offset reflector antenna with uniformly phased aperture and with source and aperture power distributions independently prescribed is reviewed. A recent paper showed that a method for dealing with circular apertures could be extended to noncircular apertures by the use of conformal mapping. In the paper we describe an alternative method in which the aperture boundary is continuously deformed to the required shape. Examples show that systems with elliptical apertures of high axial ratios (e.g. 4:1) can be successfully designed. The problem of interpolating points on the reflector surfaces has been addressed using bicubic splines.