Inverse Abel transform algorithms to determine the radial profile of the photoelastic coefficient of glass optical fibers

Sophie Acheroy, Patrick Merken, Thomas Geernaert, Heidi Ottevaere, Hugo Thienpont, Francis Berghmans

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We compare two algorithms to determine the radial profile of the photoelastic coefficient C in glass optical fibers. We first measure the retardance profile of a transversally illuminated fiber as a function of tensile load. The radial profile C(r) is obtained from the inverse Abel transform of this retardance profile. Our first algorithm expands the measured retardance in its Fourier coefficients before computing the inverse Abel transform. With the second algorithm the expected result of the inverse Abel transform is expanded and the forward Abel transform of that expansion is compared to the measured retardance. We apply both approaches on the retardance measurement of commercially available single mode and multi-mode fibers.

Original languageEnglish
Title of host publicationOptical Sensing and Detection IV
EditorsFrancis Berghmans, Anna G. Mignani
PublisherSociety of Photo-Optical Instrumentation Engineers
ISBN (Electronic)9781510601444
DOIs
Publication statusPublished - 2016
EventOptical Sensing and Detection IV - Brussels, Belgium
Duration: 3 Apr 20167 Apr 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume9899
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptical Sensing and Detection IV
Country/TerritoryBelgium
CityBrussels
Period3/04/167/04/16

Keywords

  • Photoelastic coefficient
  • fiber optic characterization
  • inverse Abel transform

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