Modification of a projection method for analysis of radiation of a radial dipole in the presence of an inhomogeneous body of revolution

The problem of radiation of a radial electric dipole located on the axis of rotation of an axisymmetric body consisting of a homogeneous dielectric sphere and an external inhomogeneous dielectric layer is considered. The new numerical algorithm developed to solve the problem is based on a projection method that includes the projection of fields to transverse spherical harmonics in combination with a one-dimensional finite element method in a projection form along the radial coordinate. The algorithm is also generalized to the case in which the inner sphere is perfectly conducting. Numerical results, which characterize both the efficiency of the method and the effect of various parameters of the body on the directional pattern of the dipole, are presented.