Geometrical synthesis of offset reflector antennas using local axis-displaced quadric surfaces

This work investigates an alternative numerical procedure for the geometrical synthesis of offset reflector antennas with an arbitrary radiation pattern in the far-field region according to geometrical optics. The method uses local axis-displaced confocal quadric surfaces to describe the shaped reflector. In this approach, a nonlinear operator must be solved as a boundary value problem. To illustrate the method, we have chosen an offset configuration with a circular contour coverage and Gaussian power density. The results were validated by the physical optics approximation.