Abstract

Spun fibers are increasingly used in telecommunication systems because their polarization-mode dispersion (PMD) is lower than that in unspun fibers. In this paper, we investigate the effects of a periodic spin on the PMD of fibers with randomly varying birefringence. Numerical simulations show that when the spin period is of the same order as or larger than the beat length, the mean differential group delay of a spun fiber depends on the model used for the random birefringence. We then carry out a general theoretical analysis using the second Wai-Menyuk model, which is the only model of fiber birefringence to date that is consistent with polarization optical time domain reflectometry data. Finally, we consider some particular regimes by means of a perturbative approach.

© 2003 IEEE

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  1. C. D. Poole and J. Nagel, "Polarization effects in lightwave systems," in Optical Fiber Telecommunications, I. P. Kaminow, and T. Koch, Eds. San Diego, CA: Academic, 1997.
  2. M. A. Santoro and C. D. Poole, "Polarization scrambling using a short piece of high-birefringence optical fiber and a multifrequency laser diode", J. Lightwave Technol., vol. 12, pp. 288-293, Feb. 1994.
  3. H. Sunnerud, C. Xie, M. Karlsson, R. Samuelsson and P. A. Andrekson, "A comparison between different PMD compensation techniques", J. Lightwave Technol., vol. 20, pp. 368-378, Mar. 2002 .
  4. A. J. Barlow, J. J. Ramskov-Hansen and D. N. Payne, "Birefringence and polarization mode-dispersion in spun single-mode fibers", Appl. Opt., vol. 20, pp. 2962-2968, 1981.
  5. A. Hart, R. G. Huff and K. L. Walker, "Method of making a fiber having low polarization mode dispersion due to a permanent spin", U.S. Patent 5 298 047, Mar. 29, 1994.
  6. A. Hart, R. G. Huff and K. L. Walker, "Article comprising optical fiber having low polarization mode dispersion, due to permanent spin", U.S. Patent 5 418 881, May 23, 1995.
  7. A. Galtarossa, L. Palmieri and A. Pizzinat, "Optimized spinning design for low PMD fibers: An analytical approach", J. Lightwave Technol., vol. 19, pp. 1502-1512, Oct. 2001.
  8. A. Galtarossa, P. Griggio, A. Pizzinat and L. Palmieri, "Calculation of mean differential group delay of periodically spun randomly birefringent fibers", Opt. Lett., vol. 27, pp. 692-694, 2002.
  9. X. Chen, M.-J. Li and D. A. Nolan, "Polarization mode dispersion of spun fibers: An analytical solution", Opt. Lett., vol. 27, pp. 294-296, 2002.
  10. R. E. Schuh, X. Shan and A. S. Siddiqui, "Polarization mode dispersion in spun fibers with different linear birefringence and spinning parameters", J. Lightwave Technol., vol. 16, pp. 1583-1588, Sept. 1998 .
  11. P. K. A. Wai and C. R. Menyuk, "Polarization mode dispersion, decorrelation and diffusion in optical fibers with randomly varying birefringence", J. Lightwave Technol., vol. 14, pp. 148-157, Feb. 1996.
  12. A. Galtarossa, L. Palmieri, M. Schiano and T. Tambosso, "Statistical characterization of fiber random birefringence", OSA Opt. Lett., vol. 25, pp. 1322-1324, 2000.
  13. A. Galtarossa, L. Palmieri, M. Schiano and T. Tambosso, "Measurements of beat length and perturbation length in long single-mode fibers", OSA Opt. Lett., vol. 25, pp. 384-386, 2000.
  14. A. Galtarossa and L. Palmieri, "PMD in single-mode fibers: Measurments of local birefringence correlation length", in Tech. Digest. OFC, Anaheim, CA, 2002,Paper WA4.
  15. C. D. Poole, J. H. Winters and J. A. Nagel, "Dynamical equation for polarization dispersion", Opt. Lett., vol. 6, pp. 372-374, 1991.
  16. A. Galtarossa and L. Palmieri, "Measure of twist-induced circular birefringence in long single-mode fibers: Theory and experiments", J. Lightwave Technol., vol. 20, pp. 1149-1159, July 2002.
  17. A. Galtarossa, L. Palmieri, M. Schiano and T. Tambosso, "Measurement of birefringence correlation length in long single-mode fibers", OSA Opt. Lett., vol. 26, pp. 962-964, 2001.
  18. Y. Tan, J. Yang, W. L. Kath and C. R. Menyuk, "Transient evolution of the polarization-dispersion vector's probability distribution", J. Opt. Soc. Amer. A, vol. 19, pp. 992-1000, 2002.
  19. A. Galtarossa, L. Palmieri, A. Pizzinat, B. S. Marks and C. R. Menyuk, "An analytical formula for the mean differential group delay of randomly-birefringent spun fibers", J. Lightwave Technol., vol. 21, pp. 1635-1643, July 2002.
  20. B. Øksendal, Stochastic Differential Equations, Berlin: Germany: Springer-Verlag, 2000.
  21. C. R. Menyuk and P. K. A. Wai, "Polarization evolution and dispersion in fibers with spatially varying birefringence", J. Opt. Soc. Amer. B, vol. 11, pp. 1288-1296, 1994.
  22. S. D. Cohen and A. C. Hindmarsh. (1994) CVODE User Guide, Livermore [Online]. Available: www.netlib.org
  23. A. H. Nayfeh, Perturbation Methods, New York: Wiley, 1973.
  24. J. Kevorkian and J. D. Cole, Perturbation Methods in Applied Mathematics , New York: Springer-Verlag, 1981 .
  25. A. Pizzinat, B. S. Marks, L. Palmieri, C. R. Menyuk and A. Galtarossa, "Polarization mode dispersion of spun fibers with randomly varying birefringence", Opt. Lett., vol. 28, pp. 390-392, 2003.

Appl. Opt. (1)

J. Lightwave Technol. (7)

Opt. Lett. (7)

Other (10)

A. Galtarossa and L. Palmieri, "PMD in single-mode fibers: Measurments of local birefringence correlation length", in Tech. Digest. OFC, Anaheim, CA, 2002,Paper WA4.

A. Hart, R. G. Huff and K. L. Walker, "Method of making a fiber having low polarization mode dispersion due to a permanent spin", U.S. Patent 5 298 047, Mar. 29, 1994.

A. Hart, R. G. Huff and K. L. Walker, "Article comprising optical fiber having low polarization mode dispersion, due to permanent spin", U.S. Patent 5 418 881, May 23, 1995.

C. D. Poole and J. Nagel, "Polarization effects in lightwave systems," in Optical Fiber Telecommunications, I. P. Kaminow, and T. Koch, Eds. San Diego, CA: Academic, 1997.

B. Øksendal, Stochastic Differential Equations, Berlin: Germany: Springer-Verlag, 2000.

C. R. Menyuk and P. K. A. Wai, "Polarization evolution and dispersion in fibers with spatially varying birefringence", J. Opt. Soc. Amer. B, vol. 11, pp. 1288-1296, 1994.

S. D. Cohen and A. C. Hindmarsh. (1994) CVODE User Guide, Livermore [Online]. Available: www.netlib.org

A. H. Nayfeh, Perturbation Methods, New York: Wiley, 1973.

J. Kevorkian and J. D. Cole, Perturbation Methods in Applied Mathematics , New York: Springer-Verlag, 1981 .

Y. Tan, J. Yang, W. L. Kath and C. R. Menyuk, "Transient evolution of the polarization-dispersion vector's probability distribution", J. Opt. Soc. Amer. A, vol. 19, pp. 992-1000, 2002.

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