An antenna assembly configured to be mounted on a glass structure. The antenna assembly comprises a multilayer structure comprising i) a superstrate layer comprising a thin dielectric material; ii) an antenna layer on which the superstrate layer is disposed, the antenna layer comprising an electrically conducting material; and ii) a first substrate layer on which the antenna layer is disposed. The antenna assembly further comprises a housing in which the multilayer structure is disposed. The housing is adapted for attachment to a surface of the glass structure. A dielectric characteristic of the superstrate layer compensates for a dielectric characteristic of the glass structure in order to reduce the variability of the operating frequency of the antenna assembly.