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Journal of the Optical Society of Korea

Journal of the Optical Society of Korea

| PUBLISHED BY THE OPTICAL SOCIETY OF KOREA

  • Vol. 14, Iss. 3 — Sep. 1, 2010
  • pp: 228–234

Joint-characteristic Function of the First- and Second-order Polarization-mode-dispersion Vectors in Linearly Birefringent Optical Fibers

Jae-Seung Lee  »View Author Affiliations


Journal of the Optical Society of Korea, Vol. 14, Issue 3, pp. 228-234 (2010)


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Abstract

This paper presents the joint characteristic function of the first- and second-order polarization-modedispersion (PMD) vectors in installed optical fibers that are almost linearly birefringent. The joint characteristic function is a Fourier transform of the joint probability density function of these PMD vectors. We regard the random fiber birefringence components as white Gaussian processes and use a Fokker-Planck method. In the limit of a large transmission distance, our joint characteristic function agrees with the previous joint characteristic function obtained for highly birefringent fibers. However, their differences can be noticeable for practical transmission distances.

© 2010 Optical Society of Korea

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.2300) Fiber optics and optical communications : Fiber measurements
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.2400) Fiber optics and optical communications : Fiber properties
(060.4510) Fiber optics and optical communications : Optical communications

History
Original Manuscript: June 28, 2010
Revised Manuscript: August 23, 2010
Manuscript Accepted: August 23, 2010
Published: September 25, 2010

Citation
Jae-Seung Lee, "Joint-characteristic Function of the First- and Second-order Polarization-mode-dispersion Vectors in Linearly Birefringent Optical Fibers," J. Opt. Soc. Korea 14, 228-234 (2010)
http://www.opticsinfobase.org/josk/abstract.cfm?URI=josk-14-3-228


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References

  1. C. D. Poole and J. Nagel, “Polarization effects in lightwave systems,” in Optical Fiber Telecommunications III-A, I. P. Kaminow and T. L. Koch, eds. (Academic, San Diego, CA, USA, 1997), Chapter 6.
  2. H. Kogelnik and R. M. Jopson, “Polarization-mode dispersion,” in Optical Fiber Telecommunications IVB Systems and Impairments, I. P. Kaminow and T. Li, eds. (Academic, San Diego, CA, USA, 2002), Chapter 15.
  3. H. Jang, K. Kim, J. Lee, and J. Jeong, “Theoretical investigation of first-order and second-order polarization-mode dispersion tolerance on various modulation formats in 40 Gb/s transmission systems with FEC coding,” J. Opt. Soc. Korea 13, 227-233 (2009). [CrossRef]
  4. G. J. Foschini and L. A. Shepp, “Closed form characteristic functions for certain random variables related to Brownian motion,” in Stochastic Analysis, Liber Amicorum for Moshe Zakai (Academic, New York, USA, 1991), pp. 169-187.
  5. G. J. Foschini and C. D. Poole, “Statistical theory of polarization dispersion in single mode fibers,” IEEE J. Lightwave Technol. 9, 1439-1456 (1991). [CrossRef]
  6. G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, “The statistics of PMD-induced chromatic fiber dispersion,” IEEE J. Lightwave Technol. 17, 1560-1565 (1999). [CrossRef]
  7. G. J. Foschini, L. E. Nelson, R. M. Jopson, and H. Kogelnik, “Probability densities of second-order polarization mode dispersion including polarization dependent chromatic fiber dispersion,” IEEE Photon. Technol. Lett. 12, 293-295 (2000). [CrossRef]
  8. G. J. Foschini, L. E. Nelson, R. M. Jopson, and H. Kogelnik, “Statistics of second-order PMD depolarization,” IEEE J. Lightwave Technol. 19, 1882-1886 (2001). [CrossRef]
  9. J. P. Gordon, “Statistical properties of polarization mode dispersion,” in Polarization Mode Dispersion, A. Galtarossa and C. R. Menyuk, eds. (Springer, New York, USA, 2005), pp. 52-59.
  10. A. Galtarossa and L. Palmieri, “Measure of twist-induced circular birefringence in long single-mode fibers: theory and experiments,” IEEE J. Lightwave Technol. 20, 1149-1159 (2002). [CrossRef]
  11. H. Risken, The Fokker-planck Equation Methods of Solution and Applications, 2nd ed. (Springer-Verlag, New York, USA, 1996), Chapter 3, pp. 54-56.
  12. J. S. Lee, “Analysis of the polarization-mode-dispersion vector distribution for linearly birefringent optical fibers,” IEEE Photon. Technol. Lett. 19, 972-974 (2007). [CrossRef]
  13. J. S. Lee, “Derivation of the Foschini and Shepp’s joint-characteristic function for the first-and second-order polarization-mode-dispersion vectors using the Fokker-Planck method,” J. Opt. Soc. Korea 12, 240-243 (2008). [CrossRef]
  14. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 6th ed. (Elsevier Academic, New York, USA, 2005), p. 130.
  15. Y. Tan, J. Yang, W. L. Kath, and C. M. Menyuk, “Transient evolution of the polarization-dispersion vector’s probability distribution,” J. Opt. Soc. Am. B 19, 992-1000 (2002). [CrossRef]
  16. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 6th ed. (Elsevier Academic, New York, USA, 2005), Chapter 4.

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