Analysis of circular fibers with an arbitrary index profile by the Galerkin method |
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| Authors: | Guo Shangping Wu Feng Ikram Khalid Albin Sacharia |
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| Institution: | Photonics Laboratory, Department of Electrical and Computer Engineering, Old Dominion University, Virginia 23529, USA. sguo@odu.edu |
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| 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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