A comparative study of single-section polarization-mode dispersion compensators

This paper shows how to use multiple importance sampling to study the performance of polarization-mode dispersion (PMD) compensators with a single differential group delay (DGD) element. We compute the eye opening penalty margin for compensated and uncompensated systems with outage probabilities of 10/sup -5/ or less with a fraction of the computational cost required by standard Monte Carlo methods. This paper shows that the performance of an optimized compensator with a fixed DGD element is comparable to that of a compensator with a variable DGD element. It also shows that the optimal value of the DGD compensator is two to three times larger than the mean DGD of the transmission line averaged over fiber realizations. This technique can be applied to the optimization of any PMD compensator whose dominant sources of residual penalty are both the DGD and the length of the frequency derivative of the polarization-dispersion vector.

[1]  Leonidas J. Guibas,et al.  Robust Monte Carlo methods for light transport simulation , 1997 .

[2]  J. Hammersley.  SIMULATION AND THE MONTE CARLO METHOD , 1982 .

[3]  Chongjin Xie,et al.  Outage probabilities in PMD compensated transmission systems , 2001, Proceedings 27th European Conference on Optical Communication (Cat. No.01TH8551).

[4]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[5]  H. Bulow.  System outage probability due to first- and second-order PMD , 1998, IEEE Photonics Technology Letters.

[6]  J. Zweck,et al.  Efficient computation of outage probabilities due to polarization effects in a WDM system using a reduced Stokes model and importance sampling , 2003, IEEE Photonics Technology Letters.

[7]  G. Biondini,et al.  Importance sampling for polarization-mode dispersion , 2002, IEEE Photonics Technology Letters.

[8]  D. Penninckx,et al.  A simple dynamic polarization mode dispersion compensator , 1999, OFC/IOOC . Technical Digest. Optical Fiber Communication Conference, 1999, and the International Conference on Integrated Optics and Optical Fiber Communication.

[9]  I.T. Lima,et al.  Analysis of PMD compensators with fixed DGD using importance sampling , 2002, IEEE Photonics Technology Letters.

[10]  Nicolas Gisin,et al.  Second-order polarization mode dispersion: impact on analog and digital transmissions , 1998 .

[11]  G. Biondini,et al.  Non-Maxwellian DGD distributions of PMD emulators , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[12]  D. Mahgerefteh,et al.  Effect of first-order PMD compensation on the statistics of pulse broadening in a fiber with randomly varying birefringence , 1999, IEEE Photonics Technology Letters.

[13]  C. Menyuk,et al.  Effect of first-order PMD compensation on the statistics of pulse broadening in a fiber with randomly varying birefringence , 1999 .

[14]  Patrick R. Trischitta,et al.  Jitter in digital transmission systems , 1989 .

[15]  G. Biondini,et al.  Multiple importance sampling for first- and second-order polarization-mode dispersion , 2002, IEEE Photonics Technology Letters.

[16]  T. Adali,et al.  A novel polarization diversity receiver for PMD mitigation , 2002, IEEE Photonics Technology Letters.

[17]  D. Marcuse,et al.  Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence , 1997 .

[18]  Alan E. Willner,et al.  Comparison of polarization mode dispersion emulators , 2001 .

[19]  M. Karlsson,et al.  Polarization mode dispersion induced pulse broadening in optical fibers. , 1998, Optics letters.

[20]  G. Fischer,et al.  Polarisation mode dispersion compensation at 20 Gbit/s with fibre-based distributed equaliser , 1998 .

[21]  H. Rosenfeldt,et al.  PMD compensation in 10 Gbit/s NRZ field experiment using polarimetric error signal , 2000 .

[22]  Daniel A. Fishman,et al.  Automatic compensation of first order polarization mode dispersion in a 10 Gb/s transmission system , 1998, 24th European Conference on Optical Communication. ECOC '98 (IEEE Cat. No.98TH8398).

[23]  J. W. Humberston.  Classical mechanics , 1980, Nature.

[24]  T. Imai,et al.  Automatic compensation technique for timewise fluctuating polarisation mode dispersion in in-line amplifier systems , 1994 .

[25]  Elijah Polak,et al.  Computational methods in optimization , 1971 .

[26]  H. Bulow,et al.  Limitation of optical first-order PMD compensation , 1999, OFC/IOOC . Technical Digest. Optical Fiber Communication Conference, 1999, and the International Conference on Integrated Optics and Optical Fiber Communication.

[27]  D. L. Favin,et al.  Polarization-mode dispersion measurements based on transmission spectra through a polarizer , 1994 .

[28]  Ivan Herman,et al.  Computer Graphics and Mathematics , 1992, Focus on Computer Graphics.

[29]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[30]  Curtis R. Menyuk,et al.  Performance analysis of single-section PMD compensators using multiple importance sampling , 2003, OFC 2003 Optical Fiber Communications Conference, 2003..

[31]  H. Kogelnik,et al.  PMD fundamentals: polarization mode dispersion in optical fibers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.