Study of antenna radome problems

In a previous report, details of the analysis of a curved dielectric radome using geometrical optics were considered for a point source. In this report, we first consider the transmission of a spherical or plane wave through a curved dielectric interface. The transmitted field is proportional to the product of the conventional Fresnel's transmission coefficient and a divergence factor DF, which describes the cross-sectional variation (convergence or divergence) of a ray pencil as the latter propagates in the transmitted region. The factor DF depends on the incident wavefront, the curvatures of the interface, and the relative indices of the two media. We give explicit matrix formulas for calculating DF, illustrate its physical significance via examples, and point out an erroneous solution in the recent literature.