A Fast and Efficient Method of the Full Wave Analysis of Dielectric Guides with Arbitrary Permittivity Profile

A numerical method of the analysis of dielectric guides is described. The method is based on a recently proposed iterative scheme [1] known as the iterative eigenfunction expansion method (IEEM) and the FFT algorithm. The method is fast, requires very little computer storage and gives simultaneously the propagation constant and the field distribution in dielectric guides of arbitrary cross-section and permittivity profile. In terms of computer storage requirements and speed the method seems to be superior to most known full wave methods including finite elements. It is believed that the method can be used for the for the investigation of guides used in millimetre wave techniques, optical fibres with arbitrary cross-section and refractive index profile and to study nonlinear effect in electromagnetic wave propagation.