A parabolic-reflector antenna having a primary horn including first, second, and third hollow portions. The first hollow portion has an elliptical aperture on one end thereof and a circular cross section on an opposite end thereof, and is progressively tapered away from the elliptical aperture. The second hollow portion has a circular cross section and a constant diameter, and is joined to the opposite end of the first hollow portion. The third hollow portion has a circular cross section on one end thereof and a circular cross section on an opposite end thereof. The third hollow portion is joined to the opposite end of the second hollow portion, and is progressively tapered away from the second hollow portion. The parabolic-reflector antenna also includes a parabolic reflector having an elliptical aperture whose major axis is perpendicular to the major axis of the elliptical aperture of the primary horn.