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A compact circularly polarized antenna for the Global Navigation Satellite System L1 band at 1575 MHz is presented. A circular patch antenna is first designed to operate before being integrated with four ring slots to achieve the circular polarization. The antenna features a bandwidth of 1.15 % in L1, with an axial ratio bandwidth of 0.58 %. The antenna radiates towards 0° with a realized gain of 4.4 dB and an angular beamwidth of 101.3°.

Luneburg lens antenna radiation fields are calculated with Green's functions of spherical and cylindrical layered structures. Electric field components for Luneburg lenses excited by a linear and circular 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 for antenna gain calculation. The proposed method significantly reduces computing time for multilayered lens in comparison with the most commonly used in antenna design. © 2015 Radio Society (Mauritius).