A phased array antenna system on an aircraft that incorporates a choke plate that significantly attenuates sidelobes of the antenna beam pattern at elevation angles that would cause RF interference with ground-based terrestrial wireless networks. The choke plate includes a plurality of choke grooves that substantially circumscribe the antenna aperture. The choke plate has an upper surface that is positioned generally coplanar with the upper surface of the antenna aperture. The grooves of the choke plate may be filled with a dielectric material. The choke plate provides a smooth aerodynamic component that significantly attenuates beam scattering, and thus the radiation pattern sidelobes of the antenna at or below the horizon, when the aircraft is in flight.