CALCULATION OF DOUBLY CURVED REFLECTORS FOR SHAPED BEAMS

摘要

A method is described for the calculation of double curvature surfaces to produce from a point source a shaped beam of arbitrary shape in one plane and uniformly narrow in the other. It is shown that the surface so calculated is the envelope of a family of para¬boloids with varying focal lengths. A sample calculation is pre¬sented, where the beam shape is that required for an airborne navigational or bombing antenna given by G(0) = k esc2 6 cos0 . A test for the single-valuedness of a computed surface is described. Patterns are shown for experimental antennas whose reflector shapes were computed by this method. It is demonstrated that some control of the antenna pattern of such an antenna can be achieved by proper motion of the antenna feed. A discussion of errors is included in an appendix.