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

Applied Optics

Volumn 47, Issue 6, 2008, Pages 760-767

  Hutsel, Michael R ^a   Montarou, Carole C ^a   Dachevski, Alexi I ^a   Gaylord, Thomas K ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LIGHT TRANSMISSION; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PHASE SHIFT; REFRACTIVE INDEX;

DIRECT DIFFERENTIATION ALGORITHMS; INVERSE ABEL TRANSFORMS; ITERATIVE ALGORITHMS;

OPTICAL FIBERS;

EID: 43049146206     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.000760     Document Type: Article

References (20)

1. H. M. Presby, D. Marcuse, H. W. Astle, and L. M. Boggs, "Rapid automatic index profiling of whole-fiber samples. II," Bell Syst. Tech. J. 58, 883-902 (1979).
2. A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998).
3. A. Roberts, E. Ampem-Lassen, A. Barty, K. A. Nugent, G. W. Baxter, N. M. Dragomir, and S. T. Huntington, "Refractive-index profiling of optical fibers with axial symmetry by use of quantitative phase microscopy," Opt. Lett. 27, 2061-2063 (2002).
4. E. Ampem-Lassen, S. T. Huntington, N. M. Dragomir, K. A. Nugent, and A. Roberts, "Refractive index profiling of axially symmetric optical fibers: a new technique," Opt. Express 13, 3277-3282 (2005).
5. N. M. Dragomir, E. Ampem-Lassen, S. T. Huntington, G. W. Baxter, A. Roberts, and P. M. Farrell, "Refractive index profiling of optical fibers using differential interference contrast microscopy," IEEE Photon. Technol. Lett. 17, 2149-2151 (2005).
6. P.L. Chu and T. Whitbread, "Measurement of stresses in optical fiber and preform," Appl. Opt. 21, 4241-4245 (1982).
7. C. C. Montarou, T. K. Gaylord, B. L. Bachim, A. I. Dachevski, and A. Agarwal, "Two-wave-plate compensator method for full-field retardation measurements," Appl. Opt. 45, 271-280 (2006).
8. K. W. Raine, R. Feced, S. E. Kanellopoulos, and V. A. Handerek, "Measurement of axial stress at high spatial resolution in ultraviolet-exposed fibers," Appl. Opt. 38, 1086-1095 (1999).
9. Y. Park, T.-J. Ahn, Y. H. Kim, W.-T. Han, U. C. Paek, and D. Y Kim, "Measurement method for profiling the residual stress and the strain-optic coefficient of an optical fiber," Appl. Opt. 41, 21-26 (2002).
10. Y. Park, S. Choi, U.-C. Paek, K. Oh, and D. Y. Kim, "Measurement method for profiling the residual stress of an optical fiber: detailed analysis of off-focusing and beam-deflection effects," Appl. Opt. 42, 1182-1190 (2003).
11. C. C. Montarou, T. K. Gaylord, and A. I. Dachevski, "Residual stress profiles in optical fibers determined by the two-waveplate-compensator method," Opt. Commun. 265, 29-32 (2006).
12. E. W. Hansen and P. L. Law, "Recursive methods for computing the Abel transform and its inverse," J. Opt. Soc. Am. A 2, 510-520 (1985).
13. C. J. Cremers and R. C. Birkebak, "Application of the Abel integral equation to spectrographic data," Appl. Opt. 5, 1057-1064 (1966).
14. C. K. Chan and P. Lu, "On the stability of the solution of Abel's integral equation," J. Phys. A 14, 575-578 (1981).
15. M. Deutsch and I. Beniaminy "Derivative-free inversion of Abel's integral equation," Appl. Phys. Lett. 41, 27-28 (1982).
16. R. S. Anderssen and F. R. de Hoog, "On the method of Chan and Lu for Abel's integral equation," J. Phys. A 14, 3117-3121 (1981).
17. K. Tatekura, "Determination of the index profile of optical fibers from transverse interferograms using Fourier theory," Appl. Opt. 22, 460-463 (1983).
18. M. Kalal and K. A. Nugent, "Abel inversion using fast Fourier transforms," Appl. Opt. 27, 1956-1959 (1988).
19. P. A. Vicharelli and W. P. Lapatovich, "Iterative method for computing the inverse Abel transform," Appl. Phys. Lett. 50, 557-559 (1987).
20. B. L. Bachim, T. K. Gaylord, and S. C. Mettler, "Refractive-index profiling of azimuthally asymmetric optical fibers by microinterferometic optical phase tomography," Opt. Lett. 30, 1126-1128 (2005).