Fast analysis of cylindrical Luneburg lens radiation by green´s function method

Luneburg lens antenna radiation field is calculated with Green´s functions of a layered cylindrical structure. Electric field components of Luneburg lens excited by electric and magnetic dipoles, Huygens source and a circularly polarized antenna formed by two crossed electric dipoles with 90-degree phase shift are considered. Electric field calculation for the Luneburg lens antenna in the far zone is simplified by saddle-point method. Radiation patterns are shown. The influence of an outer cylinder radius and number of layers on radiation efficiency is investigated. Polarization properties of a cylindrical Luneburg lens excited by a source with circular wave polarization are analyzed. The proposed method significantly reduces computing time for multilayered lens in comparison with the most commonly used in antenna design.