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A Rapid Accurate Technique to Calculate the Group Delay, Dispersion and Dispersion Slope of Arbitrary Radial Refractive Index Profile Weakly-Guiding Optical Fibers

Mussina, R; Selviah, DR; Fernandez, FA; Tijhuis, AG; de Hon, BP; (2014) A Rapid Accurate Technique to Calculate the Group Delay, Dispersion and Dispersion Slope of Arbitrary Radial Refractive Index Profile Weakly-Guiding Optical Fibers. PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER , 145 93 - 113. 10.2528/PIER13031203. Green open access

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Abstract

This paper introduces a new numerical method to calculate the group delay, chromatic dispersion and dispersion slope of weakly-guiding optical fibers with arbitrary radial refractive index profiles. It is based on the analytic differentiation of the propagation coefficient up to the third order. The simulation results are compared to experimental data, with those calculated by other approaches and exact data where possible. Due to the analytical differentiation of the matrix equation, the method is more accurate compared to other approaches, it is also much faster than numerical differentiation as allows avoiding repeated solution of the eigenvalue problem to calculate the derivatives of the propagation coefficient. The precision of the method is limited only by the approximation errors of the mode solver. The Galerkin method with Laguerre-Gauss basis functions is used to determine the propagation coefficients of weakly-guiding structures. The new method enables fiber manufacturers to rapidly design dispersion characteristics of graded index, step index, single- and multiple-clad fibers, as well as few-mode and bend insensitive fibers.

Type: Article
Title: A Rapid Accurate Technique to Calculate the Group Delay, Dispersion and Dispersion Slope of Arbitrary Radial Refractive Index Profile Weakly-Guiding Optical Fibers
Open access status: An open access version is available from UCL Discovery
DOI: 10.2528/PIER13031203
Publisher version: http://dx.doi.org/10.2528/PIER13031203
Additional information: Progress In Electromagnetics Research (PIER) publishes peer-reviewed original and comprehensive articles on all aspects of electromagnetic theory and applications. This is an open access, on-line journal PIER (E-ISSN 1559-8985). It has been first published as a monograph series on Electromagnetic Waves (ISSN 1070-4698) in 1989. It is freely available to all readers via the Internet.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1428985
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