An Alternative Theory of Optical Waveguides with Radial Inhomogeneities
Tonning, A.
Norwegian Institute of Technology;
This paper appears in: Microwave Theory and Techniques, IEEE Transactions on
Publication Date: May 1982
Volume: 30,
Issue: 5
On page(s): 782-789
ISSN: 0018-9480
Digital Object Identifier: 10.1109/TMTT.1982.1131137
Current Version Published: 2003-01-06
Abstract
The field equations are solved for an inhomogeneous dielectric cylinder with azimuthaf symmetry. The solutions are shown to satisfy particular orthogonality relations and allow derivation of simple, generally valid expressions for dispersion relation, power flow, energy density, and group delay. A method for numerical solution of the equations, the modified staircase method, is proposed. It is shown that it leads to expressions similar to those of the Wentzel-Kramer-Brillouin (WKB) method, but, unlike the latter, is valid for the lowest order guided modes. The method has been tested in a computer program.
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