The gain factor of an offset-fed paraboloidal reflector is derived. The reflector is assumed to be in the far field of the feed, and the feed patterns are of the class

. Results are presented as a function of the angular aperture

, the offset angle

, and even values of the feed-pattern parameter

. Phase-error effects due to a displacement of the feed from the focal point are calculated. Displacements of

, and

are considered. The gain factor is again derived as a function of the previously mentioned parameters and the feed displacement

.