Fast analysis of Luneburg lens radiation by Green's function method

A Luneburg lens antenna radiation field is calculated with Green's functions of a spherical layered structure. Electric field components for Luneburg lens excited by a circularly polarized antenna are analyzed. Co-polarized and cross-polarized field radiation patterns are shown. Reflection from the lens, losses in the lens material, spillover and polarization loss are taken into account separately for antenna gain calculation. The proposed method significantly reduces computing time for multilayered lens in comparison with the most commonly used in antenna design.