OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 11 — Nov. 1, 2000
  • pp: 1821–1827

Solutions to the dynamical equation of polarization-mode dispersion and polarization-dependent losses

Yi Li and Amnon Yariv  »View Author Affiliations

JOSA B, Vol. 17, Issue 11, pp. 1821-1827 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (180 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study the evolution of optical signals in single-mode optical fibers in the presence of polarization-mode dispersion and polarization-dependent losses. Two geometric vectors on the Poincaré sphere are defined to characterize the effects of polarization-mode dispersion and polarization-dependent losses on the optical field in the fiber. By solving the dynamical equation for these two vectors, several general statistical results are obtained. The practically important weak polarization-dependent-loss situation is discussed in detail.

© 2000 Optical Society of America

OCIS Codes
(060.4510) Fiber optics and optical communications : Optical communications
(260.5430) Physical optics : Polarization

Yi Li and Amnon Yariv, "Solutions to the dynamical equation of polarization-mode dispersion and polarization-dependent losses," J. Opt. Soc. Am. B 17, 1821-1827 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. Foschini and C. Poole, “Statistical theory of polarization dispersion in single mode fibers,” J. Lightwave Technol. 9, 1439–1456 (1991). [CrossRef]
  2. N. Gisin, “Solutions of the dynamical equation for polarization dispersion,” Opt. Commun. 86, 371–373 (1991). [CrossRef]
  3. P. Wai and C. Menyuk, “Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence,” J. Lightwave Technol. 14, 148–157 (1996). [CrossRef]
  4. P. Ciprut, B. Gisin, N. Gisin, R. Passy, J. Von der Weid, F. Prieto, and C. Zimmer, “Second order polarization mode dispersion: impact on analog and digital transmissions,” J. Lightwave Technol. 16, 757–771 (1998). [CrossRef]
  5. G. Foschini, R. Jopson, L. Nelson, and H. Kogelnik, “The statistics of PMD-induced chromatic fiber dispersion,” J. Lightwave Technol. 17, 1560–1565 (1999). [CrossRef]
  6. M. Karlsson and J. Brentel, “Autocorrelation function of the polarization-mode dispersion vector,” Opt. Lett. 24, 939–941 (1999). [CrossRef]
  7. M. Shtaif, A. Mecozzi, and J. Nagel, “Mean-square magnitude of all orders of polarization mode dispersion and the relation with the bandwidth of the principal states,” IEEE Photonics Technol. Lett. 12, 53–55 (2000). [CrossRef]
  8. N. Gisin and B. Huttner, “Combined effects of polarization mode dispersion and polarization dependent losses in optical fibers,” Opt. Commun. 142, 119–125 (1997). [CrossRef]
  9. B. Huttner and N. Gisin, “Anomalous pulse spreading in birefringent optical fibers with polarization-dependent losses,” Opt. Lett. 22, 504–506 (1997). [CrossRef] [PubMed]
  10. B. Huttner, C. De Barros, B. Gisin, and N. Gisin, “Polarization-induced pulse spreading in birefringent optical fibers with zero differential group delay,” Opt. Lett. 24, 370–372 (1999). [CrossRef]
  11. L. Chen, J. Cameron, and X. Bao, “Statistics of polarization mode dispersion in presence of the polarization dependent loss in single mode fibers,” Opt. Commun. 169, 69–73 (1999). [CrossRef]
  12. A. Yariv, Optical Electronics in Modern Communications (Oxford University, New York, 1997).
  13. P. Dirac, The Principles of Quantum Mechanics (Oxford University, New York, 1958).
  14. L. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968).
  15. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 4th ed. (Academic, San Diego, Calif., 1995).
  16. A. Eyal and M. Tur, “A modified Poincaré sphere technique for the determination of polarization mode dispersion in the presence of differential loss/gain,” In Optical Fiber Communications Conference, Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 340–341.
  17. C. D. Poole and R. E. Wagner, “Phenomenological approach to polarization dispersion in long single-mode fibers,” Electron. Lett. 22, 1029–1030 (1986). [CrossRef]
  18. W. Horsthemke and R. Lefever, Noise Induced Transitions (Springer, Berlin, 1984).
  19. L. Arnold, Stochastic Differential Equations: Theory and Applications (Wiley, New York, 1974).
  20. B. Øksendal, Stochastic Differential Equations: An Introduction with Applications, 5th ed. (Springer, Berlin, 1998).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited