Offset dual reflector synthesis as a boundaryvalue problem
Abstract
It is shown that the synthesis of offset dual reflectors under the assumptions of geometrical optics can be formulated using mathematically exact equations and numerical solutions in a number of important cases. The exact formulation is given, and the existence is demonstrated of numerical solutions to a certain problem. In this problem, rays within a symmetrical feed cone with a tapered power pattern are mapped through two reflections onto a circular output aperture over which the phase is uniform and the power is arbitrarily specified. The method outlined is shown to be capable of solving a number of problems hitherto thought to be insoluble except by approximate methods.
 Publication:

2nd International Conference on Antennas and Propagation
 Pub Date:
 1981
 Bibcode:
 1981icap.conf..467W
 Keywords:

 Antenna Design;
 Boundary Value Problems;
 Geometrical Optics;
 Reflectors;
 Antenna Feeds;
 Computer Aided Design;
 Finite Difference Theory;
 Ray Tracing;
 Wave Reflection;
 Communications and Radar