Algorithm performance in the determination of the refractive-index profile of optical fibers.

Three algorithms for computing the refractive-index profile of azimuthally symmetric optical fibers via the inverse Abel transform are compared to determine their relative accuracies. Appropriate values of algorithm parameters are also determined. The direct differentiation algorithm, the iterative algorithm, and the Fourier algorithm are used to calculate the refractive-index profile from simulated measurements of the phase shift of light transmitted transversely through the fiber. The rms error in the calculated index profile is used to quantify the accuracy of each algorithm. The Fourier algorithm is typically the most accurate of the three.

[1]  K. Nugent,et al.  Refractive index profiling of axially symmetric optical fibers: a new technique. , 2005, Optics express.

[2]  Moshe Deutsch,et al.  Derivative‐free inversion of Abel’s integral equation , 1982 .

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

[4]  K. Nugent,et al.  Quantitative optical phase microscopy. , 1998, Optics letters.

[5]  Thomas K Gaylord,et al.  Refractive-index profiling of azimuthally asymmetric optical fibers by microinterferometric optical phase tomography. , 2005, Optics letters.

[6]  C. Chan,et al.  On the stability of the solution of Abel's integral equation , 1981 .

[7]  Won-Taek Han,et al.  Measurement method for profiling the residual stress and the strain-optic coefficient of an optical fiber. , 2002, Applied optics.

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

[9]  Eric W. Hansen,et al.  Recursive methods for computing the Abel transform and its inverse , 1985 .

[10]  V. Handerek,et al.  Measurement of axial stress at high spatial resolution in ultraviolet-exposed fibers. , 1999, Applied optics.

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

[12]  R. Anderssen,et al.  COMMENT: On the method of Chan and Lu for Abel's integral equation , 1981 .

[13]  K O Tatekura.  Determination of the index profile of optical fibers from transverse interferograms using Fourier theory. , 1983, Applied optics.

[14]  R. Birkebak,et al.  Application of the Abel integral equation to spectrographic data. , 1966, Applied optics.

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

[16]  D. Marcuse,et al.  Rapid automatic index profiling of whole-fiber samples: Part I , 1979, The Bell System Technical Journal.

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

[18]  A. Roberts,et al.  Refractive index profiling of optical fibers using differential interference contrast microscopy , 2005, IEEE Photonics Technology Letters.

[19]  K. Nugent,et al.  Refractive-index profiling of optical fibers with axial symmetry by use of quantitative phase microscopy. , 2002, Optics letters.

[20]  Dug Young Kim,et al.  Measurement method for profiling the residual stress of an optical fiber: detailed analysis of off-focusing and beam-deflection effects. , 2003, Applied optics.

[21]  D. Marcuse,et al.  Rapid automatic index profiling of whole-fiber samples: Part II , 1979, The Bell System Technical Journal.