Title :
Asymptotic eigenvalues of vector wave equation for guided modes in graded-index fibre
Author_Institution :
Kumamoto University, Department of Information Engineering, Kumamoto, Japan
Abstract :
Asymptotic eigenvalues of the vector wave equation¿a system of coupled second-order differential equations¿are calculated by the perturbation method in which we use the exact solutions of the scalar wave equation as the unperturbed term. We examine a graded-index fibre with a polynomial profile core and obtain the propagation constants of the vector modes in analytic form. The results coincide with those found by a sophisticated method.
Keywords :
eigenvalues and eigenfunctions; optical fibres; optical waveguide theory; asymptotic eigenvalues; graded index fibre; guided modes; perturbation method; polynomial profile core; propagation constants; second order differential equations; vector wave equation;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19810007
