OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 31, Iss. 16 — Aug. 15, 2013
  • pp: 2976–2980

Temporal Autocorrelation Functions of PMD Variables in the Anisotropic Hinge Model

George Soliman and David Yevick

Journal of Lightwave Technology, Vol. 31, Issue 16, pp. 2976-2980 (2013)


View Full Text Article

Acrobat PDF (1028 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

We present analytic expressions for the temporal autocorrelation functions (ACF's) of the polarization mode dispersion (PMD) vector, the squared differential group delay (DGD) and the state of polarization (SOP) in the hinge model for stochastically varying hinges. We also derive the continuous limit of the temporal ACF of the squared DGD. Our studies demonstrate that for large time offsets, the ACF of the PMD vector approaches a constant value that depends principally on the DGD of the last fiber section but is also affected to a diminishing degree by the DGD of preceding fiber sections. We also show that sinusoidal perturbations of the hinge rotation angles do not significantly alter the results. The accuracy of the procedure is further established through comparison with numerical simulations.

© 2013 IEEE

Citation
George Soliman and David Yevick, "Temporal Autocorrelation Functions of PMD Variables in the Anisotropic Hinge Model," J. Lightwave Technol. 31, 2976-2980 (2013)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-31-16-2976


Sort:  Year  |  Journal  |  Reset

References

  1. M. Karlsson, J. Brentel, P. A. Andrekson, "Long-term measurement of PMD and polarization drift in installed fibers," J. Lightw. Technol. 18, 941-951 (2000).
  2. M. Brodsky, N. J. Frigo, M. Broditsky, M. Tur, "Polarization mode dispersion of installed fibers," J. Lightw. Technol. 24, 4584-4599 (2006).
  3. H. Kogelnik, P. J. Winzer, L. E. Nelson, R. M. Jopson, M. Broditsky, M. Brodsky, "First order PMD outage for the hinge model," IEEE Photon. Technol. Lett. 17, 1208-1210 (2005).
  4. C. Antonelli, A. Mecozzi, "Theoretical characterization and system impact of the hinge model of PMD," J. Lightw. Technol. 24, 4064-4074 (2006).
  5. A. Mecozzi, C. Antonelli, M. Boroditsky, M. Brodsky, "Characterization of time dependence of polarization mode dispersion," Opt. Lett. 29, 2599-2601 (2004).
  6. C. Antonelli, C. Colamarino, A. Mecozzi, M. Brodsky, "A model for temporal evolution of PMD," IEEE Photon. Technol. Lett. 20, 1012-1014 (2008).
  7. M. Brodsky, J. Martinez, N. J. Frigo, A. Sirenko, "Dispersion compensation module as a polarization hinge," Proc. ECOC (2005) pp. 335-336.
  8. J. Li, G. Biondini, W. L. Kath, H. Kogelnik, "Anisotropic hinge model for polarization-mode dispersion in installed fibers," Opt. Lett. 33, 1924-1926 (2008).
  9. J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," PNAS 97, 4541-4550 (2000).
  10. J. Li, G. Biondini, W. L. Kath, H. Kogelnik, "Outage statistics in a waveplate hinge model of polarization mode dispersion," J. Lightw. Technol. 28, 1958-1968 (2010).
  11. P. K. A. Wai, C. R. Menyuk, "Polarization decorrelation in optical fibers with randomly varying birefringence," Opt. Lett. 19, 1517-1519 (1994).
  12. M. Karlsson, J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector," Opt. Lett. 24, 939-941 (1999).
  13. G. Soliman, D. Yevick, "PMD correlation properties in the hinge model," JOSA A 30, 380-384 (2013).
  14. A. Mecozzi, C. Antonelli, M. Brodsky, "Statistics of the polarization mode dynamics," Opt. Lett. 32, 3032-3034 (2007).
  15. M. Shtaif, A. Mecozzi, "Study of the frequency autocorrelation function of the differential group delay in fibers with polarization mode dispersion," Opt. Lett. 25, 707-709 (2000).
  16. C. T. Allen, P. K. Kondamuri, D. L. Richards, D. C. Hauges, "Measured temporal and spectral PMD characteristics and their implications for network level mitigation approaches," J. Lightw. Technol. 21, 79-86 (2003).
  17. R. Caponi, B. Riposati, A. Rossaro, M. Schiano, "WDM system impairments due to highly correlated PMD spectra of buried optical cables," Electron. Lett. 38, 737-738 (2002).
  18. L. E. Nelson, C. Antonelli, A. Mecozzi, M. Birk, P. Magill, A. Schex, L. Rapp, "Statistics of polarization dependent loss in an installed long haul WDM system," Opt. Express 19, 6790-6796 (2011).

Cited By

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