Influence of measurement noise on the determination of the radial profile of the photoelastic coefficient in step-index optical fibers.

We discuss a measurement method that aims to determine the radial distribution of the photoelastic constant C in an optical fiber. This method uses the measurement of the retardance profile of a transversely illuminated fiber as a function of applied tensile load and requires the computation of the inverse Abel transform of this retardance profile. We focus on the influence of the measurement error on the obtained values for C. The results suggest that C may not be constant across the fiber and that the mean absolute value of C is slightly larger for glass fibers than for bulk fused silica. This can, for example, influence the accuracy with which one is able to predict the response of optical fiber sensors used for measuring mechanical loads.

[1]  T. Ko Determination of the index profile of optical fibers from transverse interferograms using Fourier theory. , 1983 .

[2]  Hillel Poritsky,et al.  Analysis of Thermal Stresses in Sealed Cylinders and the Effect of Viscous Flow During Anneal , 1934 .

[3]  P. Chu,et al.  Measurement of stresses in optical fiber and preform. , 1982, Applied optics.

[4]  R. Dändliker,et al.  Determination of the individual strain-optic coefficients in single-mode optical fibres , 1988 .

[5]  T. Gaylord,et al.  Two-wave-plate compensator method for full-field retardation measurements. , 2006, Applied optics.

[6]  Wim De Waele,et al.  Transversal Load Sensing With Fiber Bragg Gratings in Microstructured Optical Fibers , 2009, IEEE Photonics Technology Letters.

[7]  Thomas K Gaylord,et al.  Algorithm performance in the determination of the refractive-index profile of optical fibers. , 2008, Applied optics.

[8]  Michael A. Davis,et al.  Fiber grating sensors , 1997 .

[9]  Andrew D. Yablon,et al.  New transverse techniques for characterizing high-power optical fibers , 2011 .

[10]  William Primak,et al.  Photoelastic Constants of Vitreous Silica and Its Elastic Coefficient of Refractive Index , 1959 .

[11]  W. Lapatovich,et al.  Iterative method for computing the inverse Abel transform , 1987 .

[12]  K A Nugent,et al.  Abel inversion using fast Fourier transforms. , 1988, Applied optics.

[13]  R. Dändliker,et al.  Deformation of single-mode optical fibers under static longitudinal stress , 1987 .

[14]  D. Payne,et al.  The stress-optic effect in optical fibers , 1983, IEEE Journal of Quantum Electronics.

[15]  T. Gaylord,et al.  Residual stress profiles in optical fibers determined by the two-waveplate-compensator method , 2006 .

[16]  N Lagakos,et al.  Stress optic coefficient and stress profile in optical fibers. , 1981, Applied optics.

[17]  Andrew D. Yablon Multi-Wavelength Optical Fiber Refractive Index Profiling by Spatially Resolved Fourier Transform Spectroscopy , 2010 .

[18]  David N. Payne,et al.  Thermal stress measurements in optical-fibre preforms using preform-profiling techniques , 1984 .