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

Abstract

Numerical analysis of wave scattering by a body of revolution composed of a homogeneous dielectric sphere and an external inhomogeneous dielectric layer with arbitrary generatrix is carried out. A modification of the hybrid projection includes expansion of the fields in terms of transverse vector spherical functions, projection of the Maxwell's equations in the inhomogeneous region on the indicated functions, and use of one-dimensional method of finite elements in projection form over the radial coordinate. Two more modifications correspond to the case of a perfectly conducting internal sphere and for the case of the absence of the internal sphere. Numerical results presented and discussed in the paper include the cases of wave scattering by a perfectly conducting sphere placed inside inhomogeneous spheroidal layer and a half-spherical Maxwell's fisheye lens.