29 April 2016 Inverse Abel transform algorithms to determine the radial profile of the photoelastic coefficient of glass optical fibers
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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.
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Sophie Acheroy, Sophie Acheroy, Patrick Merken, Patrick Merken, Thomas Geernaert, Thomas Geernaert, Heidi Ottevaere, Heidi Ottevaere, Hugo Thienpont, Hugo Thienpont, Francis Berghmans, Francis Berghmans, } "Inverse Abel transform algorithms to determine the radial profile of the photoelastic coefficient of glass optical fibers", Proc. SPIE 9899, Optical Sensing and Detection IV, 98992F (29 April 2016); doi: 10.1117/12.2227755; https://doi.org/10.1117/12.2227755
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