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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1968–1977

Statistical analysis of pulse propagation driven by polarization-mode dispersion

J. Garnier, J. Fatome, and G. Le Meur  »View Author Affiliations

JOSA B, Vol. 19, Issue 9, pp. 1968-1977 (2002)

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The linear propagation of pulses driven by random polarization-mode dispersion is considered. Analytical expressions are derived for the probability-density functions of the pulse width, timing displacement, and degree of polarization. The study is performed in Stokes space, and frequency correlation between modes is shown to play an important role in it.

© 2002 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.2400) Fiber optics and optical communications : Fiber properties
(060.4510) Fiber optics and optical communications : Optical communications

J. Garnier, J. Fatome, and G. Le Meur, "Statistical analysis of pulse propagation driven by polarization-mode dispersion," J. Opt. Soc. Am. B 19, 1968-1977 (2002)

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  1. B. Bahkshi, J. Handryd, P. A. Andrekson, J. Brentel, E. Kollveit, B. E. Olsson, and M. Karlsson, “Experimental observation of soliton robustness to polarization dispersion pulse broadening,” Electron. Lett. 35, 65–66 (1999). [CrossRef]
  2. G. J. Foschini and C. D. Poole, “Statistical theory of polarization dispersion in single mode fibers,” J. Lightwave Technol. 9, 1439–1456 (1991). [CrossRef]
  3. C. R. Menyuk and P. K. A. Wai, “Polarization evolution and dispersion in fibers with spatially varying birefringence,” J. Opt. Soc. Am. B 11, 1288–1296 (1994). [CrossRef]
  4. P. K. A. Wai and C. R. Menyuk, “Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence,” J. Lightwave Technol. 14, 148–157 (1996). [CrossRef]
  5. M. Karlsson and J. Brentel, “Autocorrelation function of the polarization-mode dispersion vector,” Opt. Lett. 24, 939–941 (1999). [CrossRef]
  6. M. Shtaif and A. Mecozzi, “Study of the frequency autocorrelation of the differential group delay in fibers with polarization mode dispersion,” Opt. Lett. 25, 707–709 (2000). [CrossRef]
  7. F. Bruyere, “Impact of first- and second-order PMD in optical digital transmission systems,” Opt. Fiber Technol. Mater., Devices Syst. 2, 269–280 (1996). [CrossRef]
  8. C. R. Menyuk, “Pulse propagation in an elliptically birefringent Kerr medium,” IEEE J. Quantum Electron. 25, 2674–2682 (1989). [CrossRef]
  9. M. Matsumoto, Y. Akagi, and A. Hasegawa, “Propagation of solitons in fibers with randomly varying birefringence: effects of soliton transmission control,” J. Lightwave Technol. 15, 584–589 (1997). [CrossRef]
  10. C. D. Poole and R. E. Wagner, “Phenomenological approach to polarization dispersion in long single-mode fibers,” Electron. Lett. 22, 1029–1030 (1986). [CrossRef]
  11. N. Gisin, J. P. Pellaux, and J. P. Von der Weid, “Polarization mode dispersion for short and long single-mode fibers,” J. Lightwave Technol. 9, 821–827 (1991). [CrossRef]
  12. T. I. Lakoba and D. J. Kaup, “Perturbation theory for the Manakov soliton and its application to pulse propagation in randomly birefringent fibers,” Phys. Rev. E 56, 6147–6165 (1997). [CrossRef]
  13. M. C. de Lignie, H. G. J. Nagel, and M. O. van Deventer, “Large polarization mode dispersion in fiber optic cables,” J. Lightwave Technol. 12, 1325–1329 (1994). [CrossRef]
  14. A. Galtarossa, G. Gianello, C. G. Someda, and M. Schiano, “In-field comparison among polarization mode dispersion measurement techniques,” J. Lightwave Technol. 14, 42–49 (1996). [CrossRef]
  15. C. Xie, M. Karlsson, and P. A. Andrekson, “Soliton robustness to the polarization-mode dispersion in optical fibers,” IEEE Photonics Technol. Lett. 12, 801–803 (2000). [CrossRef]
  16. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).
  17. M. Karlsson, “Polarization mode dispersion-induced pulse broadening in optical fibers,” Opt. Lett. 23, 688–690 (1998). [CrossRef]
  18. L. Arnold, Stochastic Differential Equations: Theory and Applications (Wiley, New York, 1974).
  19. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New-York, 1965).
  20. Y. Li and A. Yariv, “Solutions to the dynamical equation of polarization-mode dispersion and polarization-dependent losses,” J. Opt. Soc. Am. B 17, 1821–1827 (2000). [CrossRef]

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