Verification of radome problems - Part I

This paper contains the analysis of the transmission problem with a spherical, dielectric (possibly lossy) shell. The sources to the problem are located inside the spherical, dielectric shell. Two different source configurations are investigated - an off-center located electric dipole and a circular Huygens surface. An exact modal series solution of the transmission problem is found and the solution is numerically illustrated for a series of shell thicknesses. The accuracy of the solution is tested by a power balance computation, which typically gives at least 10 significant figures.