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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 2 — Feb. 1, 2006
  • pp: 455–460

Operator expansions for polarization mode dispersion analysis and compensation

David O. Yevick, Tao Lu, Weihong Huang, and Witold Bardyszewski  »View Author Affiliations


JOSA A, Vol. 23, Issue 2, pp. 455-460 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000455


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Abstract

We present analytic third- and fourth-order expansions of the Jones matrix as products of exponentials of individual matrices. In our first formalism, these are polarization mode dispersion (PMD) matrices of definite orders. We then discuss an alternative procedure that instead employs exponentials of general skew-Hermitian matrices with a low-order dependence on the deviation of the optical frequency from a central reference frequency. Our expressions correspond to PMD compensators formed from a succession of relatively simple optical components each of which has the frequency response of a single operator in the product.

© 2006 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.2360) Fiber optics and optical communications : Fiber optics links and subsystems
(060.2420) Fiber optics and optical communications : Fibers, polarization-maintaining
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 5, 2005
Revised Manuscript: April 4, 2005
Manuscript Accepted: May 18, 2005

Citation
David O. Yevick, Tao Lu, Weihong Huang, and Witold Bardyszewski, "Operator expansions for polarization mode dispersion analysis and compensation," J. Opt. Soc. Am. A 23, 455-460 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-2-455


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References

  1. A. Eyal and A. Yariv, "Design of broad-band PMD compensation filters," IEEE Photon. Technol. Lett. 14, 1088-1090 (2002). [CrossRef]
  2. J. P. Gordon and H. Kogelnik, "PMD fundamentals: polarization mode dispersion in optical fibers," Proc. Natl. Acad. Sci. U.S.A. 97, 4541-4550 (2000). [CrossRef] [PubMed]
  3. H. Kogelnik, L. E. Nelson, and J. P. Gordon, "Emulation and inversion of polarization-mode dispersion," J. Lightwave Technol. 21, 482-495 (2003). [CrossRef]
  4. E. Forestieri and G. Prati, "Exact analytical evaluation of second-order PMD impact on the outage probability for a compensated system," J. Lightwave Technol. 22, 988-996 (2004). [CrossRef]
  5. F. Heismann, "Accurate Jones matrix expansion for all orders of polarization mode dispersion," Opt. Lett. 28, 2013-2015 (2003). [CrossRef] [PubMed]
  6. M. Glasner, D. Yevick, and B. Hermansson, "Generalized propagation formulas of arbitrarily high order," J. Chem. Phys. 95, 8266-8272 (1991). [CrossRef]
  7. M. Suzuki, "General theory of fractal path integrals with applications to many-body theories and statistical physics," J. Math. Phys. 32, 400-407 (1991). [CrossRef]
  8. T. Kudou, M. Iguchi, M. Masuda, and T. Ozeki, "Theoretical basis of polarization mode dispersion equalization up to the second order," J. Lightwave Technol. 18, 614-617 (2000). [CrossRef]
  9. T. Kudou, K. Shimizu, K. Harada, and T. Ozeki, "Synthesis of grating lattice circuits," J. Lightwave Technol. 17, 347-353 (1999). [CrossRef]
  10. D. O. Yevick, M. Chanachowicz, M. Reimer, M. O'Sullivan, W. Huang, and T. Lu, "Chebyshev and Taylor approximations of polarization mode dispersion for improved compensation bandwidth," J. Opt. Soc. Am. A 22, 1662-1667 (2005). [CrossRef]
  11. T. Lu, W. Huang, D. Yevick, M. O'Sullivan, and M. Reimer, "A multicanonical comparison of PMD compensator performance," J. Opt. Soc. Am. A 22, 2804-2809 (2005). [CrossRef]
  12. A. Eyal, W. K. Marshall, M. Tur, and A. Yariv, "Representation of second-order polarisation mode dispersion," Electron. Lett. 35, 1658-1659 (1999). [CrossRef]
  13. D. Yevick, "Multicanonical evaluation of joint probability density functions in communication system modeling," IEEE Photonics Technol. Lett. 15, 1540-1542 (2003). [CrossRef]
  14. J. N. Damask, P. R. Myers, G. J. Simer, and A. Boschi, "Methods to construct programmable PMD sources--Part II: instrument demonstrations," J. Lightwave Technol. 22, 1006-1013 (2004). [CrossRef]

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