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Mathematical Problems in Engineering
Volume 2015, Article ID 801243, 11 pages
Research Article

Fast and Simple Method for Evaluation of Polarization Correction to Propagation Constant of Arbitrary Order Guided Modes in Optical Fibers with Arbitrary Refractive Index Profile

Department of Communication Lines, Povolzhskiy State University of Telecommunications and Informatics (PSUTI), 77 Moscow Avenue, Samara 443090, Russia

Received 5 May 2015; Accepted 29 June 2015

Academic Editor: Xiao-Qiao He

Copyright © 2015 Anton Bourdine. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work presents fast and simple method for evaluation of polarization correction to scalar propagation constant of arbitrary order guided modes propagating over weakly guiding optical fibers. Proposed solution is based on earlier on developed modified Gaussian approximation extended for analysis of weakly guiding optical fibers with arbitrary refractive index profile in the core region bounded by single solid outer cladding. Some results are presented that illustrate the decreasing of computational error during the estimation of propagation constant when polarization corrections are taken into account. Analytical expressions for the first and second derivatives of polarization correction are derived and presented.