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Radiation characteristics of a symmetrical crossed rectangular horn using a solution of an integral eigenvalue equation given by Lin is described. - and -plane pattern symmetry and two-dimensional radiation patterns for circular polarization are studied comparing with those of a square horn, with specific emphasis on cross-polarization levels. Using a symmetrical crossed rectangular horn as a circularly polarized primary feed gain and cross-polarization characteristics of offset paraboloidal reflector antennas with circular and elliptical apertures have been investigated. A practical example of a circularly polarized multiple-beam antenna with contoured pattern using three symmetrical-crossed rectangular horns is shown.