The present invention, relates to the preparation of a patch antenna with a specific effective dielectric constant; and a reduced dissipation factor. In an exemplary embodiment of the invention, size requirements and the desired resonant signal frequency dictate the permittivity value of the dielectric material to be used between the patch plate and the ground plate. Instead of using a dielectric material with the calculated permittivity value and its given dissipation factors a two layer dielectric of the same size with an effective dielectric constant that is equal to the desired dielectric constant, is used to replace the dielectric material and reduce the dissipation factor.