Journal of the Optical Society of Korea

  • 제12권4호
  • /
  • Pages.240-243
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  • 2008
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  • 1226-4776(pISSN)
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  • 2093-6885(eISSN)
한국광학회 (Optical Society of Korea)
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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

  • 투고 : 2008.10.14
  • 심사 : 2008.12.01
  • 발행 : 2008.12.25
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초록

Using the well-known Fokker-Planck method, this paper presents a standard way to find the joint-characteristic function for the first- and second-order polarization-mode-dispersion vectors originally derived by Foschini and Shepp. Compared with the Foschini and Shepp's approach, the Fokker-Planck approach gives a more accurate and straightforward way to find the joint-characteristic function.

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참고문헌

  1. C. D. Poole and J. Nagel, “Polarization effects in lightwave systems,” Optical Fiber Telecommunications IIIA, I. P. Kaminow and T. L. Koch, Ed. San Diego, CA: Academic, ch. 6, 1997
  2. G. J. Foschini and L. A. Shepp, Stochastic Analysis, (New York, Academic Press, 1991), pp. 169–187
  3. G. J. Foschini and C. D. Poole, “Statistical theory of polarization dispersion in single mode fibers,” J. Lightwave Tech., vol. 9, no. 11, pp. 1439-1456, Nov. 1991 https://doi.org/10.1109/50.97630
  4. G. J. Foschini, R. M. Jopson, L. E. Nelson, and H. Kogelnik, “The statistics of PMD-induced chromatic fiber dispersion,” J. Lightwave Tech., vol. 17, no. 9, pp. 1560–1565, Sept. 1999 https://doi.org/10.1109/50.788561
  5. 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., vol. 12, no. 3, pp. 293–295, Mar. 2000 https://doi.org/10.1109/68.826918
  6. G. J. Foschini, L. E. Nelson, R. M. Jopson, and H. Kogelnik, “Statistics of second-order PMD depolarization,” J. Lightwave Tech., vol. 19, no. 12, 1882–1886, Dec. 2001 https://doi.org/10.1109/50.971680
  7. J. P. Gordon, “Statistical properties of polarization mode dispersion,” in Polarization mode dispersion, A. Galtarossa and C. R. Menyuk, eds., New York: Springer, pp. 52-59, 2005 https://doi.org/10.1007/0-387-26307-1_3
  8. M. Lax, “Classical Noise IV: Langevin Methods,” Rev. Mod. Phys., vol. 38, pp.541-566, 1966 https://doi.org/10.1103/RevModPhys.38.541
  9. H. Risken, The Fokker-Planck Equation Methods of Solution and Applications, 2nd ed. (New York: Springer-Verlag, 1996), ch. 3, pp. 54–56

피인용 문헌

  1. Joint-characteristic Function of the First- and Second-order Polarization-mode-dispersion Vectors in Linearly Birefringent Optical Fibers vol.14, pp.3, 2010, https://doi.org/10.3807/JOSK.2010.14.3.228