Reflector antennas for omnidirectional coverage have been considered in several studies of microwave and millimeter wave. The main motivation to work in these bands, among other applications, is the development of wireless broadband communication systems. This work uses a dielectric lens in the aperture of the reflector antenna feeder to reduce the beamwidth and simultaneously avoid the presence of side lobes in the coverage area. An appropriate lens modeling reduces the antenna size without degrading the radiation characteristics. The work is divided into two parts: the modeling of lens and modeling of reflector.The modeling of lens using the principles of the Geometrical Optics to control the radiation pattern transmitted by the lens. The modeling depends on the lens focus displacement, which is the geometric point of convergence of the rays emerging from the lens. The rotation of the lens generatrix causes this point to become a virtual caustic ring. The lens has a coaxial feed horn that provides a circularly symmetrical radiation pattern. The radiation pattern transmitted by the lens is calculated using the approximation of Geometric Optics and Physical Optics in the near and far field; these results are compared with the simulated results in a specialized electromagnetic simulation software. The reflector modeling is based on the properties of Geometric Optics. The reflector is a revolution surface obtained by rotating a generatrix around the symmetry axis. In this work, the generatrix is described by a sequence of concatenated conical sections. This method uses the transmitted radiation pattern of the lens to obtain a previously specified field distribution in the vertical plane, which is a constant distribution in the present case. The far field radiation pattern of the reflector is calculated using the Physical Optics approximation. These results are compared with the simulated results in a specialized electromagnetic simulation software.