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Analysis of circular fibers with an arbitrary index profile by the Galerkin method
Shangping Guo1, Feng Wu, Khalid Ikram
1Photonics Laboratory, Department of Electrical and Computer Engineering, Old Dominion University, Virginia 23529, USA. sguo@odu.edu
Abstract:
We propose a full-vectorial Galerkin method for the analysis of circular symmetric fibers with arbitrary index profiles. A set of orthogonal Laguerre-Gauss functions is used to calculate the dispersion relation and mode fields of TE and TM modes. Examples are given for both standard step-index fibers and Bragg fibers. For standard step-index fiber with low or high index contrast, the Galerkin method agrees well with the analytical results. In the case of the TE mode of a Bragg fiber it agrees well with the asymptotic results.
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