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

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  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).
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  7. M. Brodsky, J. Martinez, N. J. Frigo, A. Sirenko, "Dispersion compensation module as a polarization hinge," Proc. ECOC (2005) pp. 335-336.
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  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).

2013 (1)

G. Soliman, D. Yevick, "PMD correlation properties in the hinge model," JOSA A 30, 380-384 (2013).

2011 (1)

2010 (1)

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).

2008 (2)

C. Antonelli, C. Colamarino, A. Mecozzi, M. Brodsky, "A model for temporal evolution of PMD," IEEE Photon. Technol. Lett. 20, 1012-1014 (2008).

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).

2007 (1)

2006 (2)

M. Brodsky, N. J. Frigo, M. Broditsky, M. Tur, "Polarization mode dispersion of installed fibers," J. Lightw. Technol. 24, 4584-4599 (2006).

C. Antonelli, A. Mecozzi, "Theoretical characterization and system impact of the hinge model of PMD," J. Lightw. Technol. 24, 4064-4074 (2006).

2005 (1)

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).

2004 (1)

2003 (1)

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).

2002 (1)

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).

2000 (3)

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).

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).

J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," PNAS 97, 4541-4550 (2000).

1999 (1)

M. Karlsson, J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector," Opt. Lett. 24, 939-941 (1999).

1994 (1)

P. K. A. Wai, C. R. Menyuk, "Polarization decorrelation in optical fibers with randomly varying birefringence," Opt. Lett. 19, 1517-1519 (1994).

Electron. Lett. (1)

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).

IEEE Photon. Technol. Lett. (2)

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).

C. Antonelli, C. Colamarino, A. Mecozzi, M. Brodsky, "A model for temporal evolution of PMD," IEEE Photon. Technol. Lett. 20, 1012-1014 (2008).

J. Lightw. Technol. (3)

C. Antonelli, A. Mecozzi, "Theoretical characterization and system impact of the hinge model of PMD," J. Lightw. Technol. 24, 4064-4074 (2006).

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).

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).

J. Lightw. Technol. (2)

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).

M. Brodsky, N. J. Frigo, M. Broditsky, M. Tur, "Polarization mode dispersion of installed fibers," J. Lightw. Technol. 24, 4584-4599 (2006).

JOSA A (1)

G. Soliman, D. Yevick, "PMD correlation properties in the hinge model," JOSA A 30, 380-384 (2013).

Opt. Lett. (2)

P. K. A. Wai, C. R. Menyuk, "Polarization decorrelation in optical fibers with randomly varying birefringence," Opt. Lett. 19, 1517-1519 (1994).

M. Karlsson, J. Brentel, "Autocorrelation function of the polarization-mode dispersion vector," Opt. Lett. 24, 939-941 (1999).

Opt. Express (1)

Opt. Lett. (4)

PNAS (1)

J. P. Gordon, H. Kogelnik, "PMD fundamentals: Polarization mode dispersion in optical fibers," PNAS 97, 4541-4550 (2000).

Other (1)

M. Brodsky, J. Martinez, N. J. Frigo, A. Sirenko, "Dispersion compensation module as a polarization hinge," Proc. ECOC (2005) pp. 335-336.

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