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.
© 2004 Optical Society of America
(060.2280) Fiber optics and optical communications : Fiber design and fabrication
(060.2310) Fiber optics and optical communications : Fiber optics
(230.7370) Optical devices : Waveguides
(260.2110) Physical optics : Electromagnetic optics
Shangping Guo, Feng Wu, Khalid Ikram, and Sacharia Albin, "Analysis of circular fibers with an arbitrary index profile by the Galerkin method," Opt. Lett. 29, 32-34 (2004)