title: Analysis of circular fibers with an arbitrary index profile by the Galerkin method.
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.
authors.affiliation: Photonics Laboratory, Department of Electrical and Computer Engineering, Old Dominion University, Virginia 23529, USA. sguo@odu.edu
authors.forename: Shangping
authors.initials: S
authors.lastname: Guo
authors.forename: Feng
authors.initials: F
authors.lastname: Wu
authors.forename: Khalid
authors.initials: K
authors.lastname: Ikram
authors.forename: Sacharia
authors.initials: S
authors.lastname: Albin