An Algorithm of the Hybrid Projection Method for Analysis of Axially Symmetric Excitation of an Inhomogeneous Dielectric Body of Revolution

The problem of electrodynamical analysis of a body of revolution consisting of a homogeneous dielectric sphere and an external inhomogeneous dielectric layer at its excitation by axially symmetric TE waves is considered. A numerical algorithms based on the hybrid projection method is developed for solution of the problem. The algorithm includes projection matching of the transverse fields on the spherical boundaries introduced in the problem, projection of the equation for the electric field in the region containing the inhomogeneous layer, and application of the one-dimensional finite element method to the system of ordinary differential equations obtained as a result of the projection. The algorithm is also modified for the case of a perfectly conducting internal sphere and for the case of absence of the internal sphere.