Abstract

A nondestructive method is presented to determine simultaneously the refractive index profile and the cross section geometry of optical fiber preforms. An improved formula for calculating the optical path length from the deflection function is derived. The preform is rotated through 180° and the deflection angle data collected, then the back projection technique and linear interpolation algorithm are used in the computed tomographic two-dimensional (2-D) profile reconstruction for preforms of nonuniform cross section. To minimize the computing time, the spatial Nyquist frequency is analytically used to estimate the angle sampling number of views and the numbers of points per scan in advance. Numerical simulations and experimental results show that using 180° angle of view deflection data, accurate preform index distribution reconstructions are obtained.

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  1. P. L. Chu, "Nondestructive measurement of index profile of an optical fiber preform", Electron. Lett., vol. 13, no. 24, pp. 736-738, Nov. 1977.
  2. D. Marcuse, "Refractive index determination by the focusing method", Appl. Opt., vol. 18, no. 1, pp. 9-13, Jan. 1979.
  3. P. L. Chu, "Nondestructive refractive-index profile measurement of elliptical optical fiber or preform", Electron. Lett., vol. 15, no. 12, pp. 357-358, June 1979.
  4. I. Sasaki, D. N. Payne and M. J. Adams, "Measurement of refractive index profiles in optical fiber preforms by spatial filtering technique", Electron. Lett., vol. 16, no. 6, pp. 219-221, Mar. 1980.
  5. C. Saekeang, P. L. Chu and T. W. Whitbread, "Nondestructive measurement of refractive-index profile and cross sectional geometry of optical fiber preforms", Appl. Opt., vol. 19, no. 12, pp. 2025-2030, June 1980.
  6. P. L. Francois, I. Sasaki and M. J. Adams, "Practical three-dimensional profiling of optical fiber preforms", IEEE J. Quantum. Electron., vol. 18, no. 4, pp. 524-534, Apr. 1982.
  7. H. M. Mohammad and A. J. Devaney, "Phase-retrieval and intensity-only reconstruction algorithms for optical diffraction tomography", J. Opt. Soc. Amer. A, vol. 10, no. 5, pp. 1086-1092, May 1993.
  8. M. Slaney, A. C. Kak and L. E. Larsen, "Limitations of imaging with 1st-order diffraction tomography", IEEE Trans. Microw. Theory Techn., vol. 32, no. 8, pp. 860-873, Aug. 1984.
  9. F. C. Lin and M. A. Fiddy, "The Born-Rytov controversy: I. Comparing analytical and approximate expressions for one-dimensional deterministic case", J. Opt. Soc. Amer. A, vol. 9, no. 7, pp. 1102-1110, July 1992.
  10. M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge: U.K.: Cambridge University Press, 1999, pp. 710-716.
  11. T. C. Wedberg and W. C. Wedberg, "Tomographic reconstruction of the cross-sectional refractive index distribution in semi-transparent, birefringent fibers", J. Microscopy, vol. 177, pp. 53-67, Jan. 1995.
  12. P. L. Chu and C. Saekeang, "Nondestructive determination of refractive-index profile and cross-sectional geometry of optical-fiber preform", Electron. Lett., vol. 15, no. 20, pp. 635-637, Sept. 1979 .
  13. M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge: U.K.: Cambridge University Press, 1999, pp. 129-131.
  14. A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory", Nature, vol. 238, no. 5365, pp. 435-440, Aug. 1972.
  15. C. R. Crawford and A. C. Kak, "Aliasing artifacts in computerized tomography", Appl. Opt., vol. 18, no. 21, pp. 3704-3711, Nov. 1979.
  16. R. A. Brooks, G. H. Weiss and A. J. Talbert, "A new approach to interpolation in computed tomography", J. Comput. Assist. Tomogr., vol. 2, no. 5, pp. 577 -585, Nov. 1978.

Other (16)

P. L. Chu, "Nondestructive measurement of index profile of an optical fiber preform", Electron. Lett., vol. 13, no. 24, pp. 736-738, Nov. 1977.

D. Marcuse, "Refractive index determination by the focusing method", Appl. Opt., vol. 18, no. 1, pp. 9-13, Jan. 1979.

P. L. Chu, "Nondestructive refractive-index profile measurement of elliptical optical fiber or preform", Electron. Lett., vol. 15, no. 12, pp. 357-358, June 1979.

I. Sasaki, D. N. Payne and M. J. Adams, "Measurement of refractive index profiles in optical fiber preforms by spatial filtering technique", Electron. Lett., vol. 16, no. 6, pp. 219-221, Mar. 1980.

C. Saekeang, P. L. Chu and T. W. Whitbread, "Nondestructive measurement of refractive-index profile and cross sectional geometry of optical fiber preforms", Appl. Opt., vol. 19, no. 12, pp. 2025-2030, June 1980.

P. L. Francois, I. Sasaki and M. J. Adams, "Practical three-dimensional profiling of optical fiber preforms", IEEE J. Quantum. Electron., vol. 18, no. 4, pp. 524-534, Apr. 1982.

H. M. Mohammad and A. J. Devaney, "Phase-retrieval and intensity-only reconstruction algorithms for optical diffraction tomography", J. Opt. Soc. Amer. A, vol. 10, no. 5, pp. 1086-1092, May 1993.

M. Slaney, A. C. Kak and L. E. Larsen, "Limitations of imaging with 1st-order diffraction tomography", IEEE Trans. Microw. Theory Techn., vol. 32, no. 8, pp. 860-873, Aug. 1984.

F. C. Lin and M. A. Fiddy, "The Born-Rytov controversy: I. Comparing analytical and approximate expressions for one-dimensional deterministic case", J. Opt. Soc. Amer. A, vol. 9, no. 7, pp. 1102-1110, July 1992.

M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge: U.K.: Cambridge University Press, 1999, pp. 710-716.

T. C. Wedberg and W. C. Wedberg, "Tomographic reconstruction of the cross-sectional refractive index distribution in semi-transparent, birefringent fibers", J. Microscopy, vol. 177, pp. 53-67, Jan. 1995.

P. L. Chu and C. Saekeang, "Nondestructive determination of refractive-index profile and cross-sectional geometry of optical-fiber preform", Electron. Lett., vol. 15, no. 20, pp. 635-637, Sept. 1979 .

M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge: U.K.: Cambridge University Press, 1999, pp. 129-131.

A. Klug and R. A. Crowther, "Three-dimensional image reconstruction from the viewpoint of information theory", Nature, vol. 238, no. 5365, pp. 435-440, Aug. 1972.

C. R. Crawford and A. C. Kak, "Aliasing artifacts in computerized tomography", Appl. Opt., vol. 18, no. 21, pp. 3704-3711, Nov. 1979.

R. A. Brooks, G. H. Weiss and A. J. Talbert, "A new approach to interpolation in computed tomography", J. Comput. Assist. Tomogr., vol. 2, no. 5, pp. 577 -585, Nov. 1978.

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