A Simplified Method to Calculate Far-Field Patterns of Extended Hemispherical Dielectric Lens

A simple method to approximately calculate the far- field pattern of an extended hemispherical dielectric lens is presented in this paper. The entire lens surface is divided into four regions, of which only one is considered in our simplified method. By applying the far-field integral to the equivalent sources on that surface region, radiation patterns in the E- and H-planes can thus be obtained. Although the presented method is simple and approximate, satisfactory agreements are obtained through a 37-GHz prototype lens antenna.