Abstract

Polarization mode dispersion (PMD) compensation is addressed by decomposition of a fiber’s Jones matrix into amplitude and phase responses, which are then compensated for separately. Cubic and higher-order phase compensation substantially reduce the cumulative probability at a given system penalty over first-order PMD compensation, as demonstrated for a 40Gbit/s non-return-to-zero signal and a fiber PMD with a differential group delay of 20 ps (rms). Single-stage all-pass filters provide tunable compensation that is comparable to that obtained with a variable-delay line, and multistage all-pass filters are well suited for higher-order phase compensation.

© 2000 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Ozeki and T. Kudo, in Optical Fiber Communication and International Conference on Integrated Optics and Optical Fiber Communication, Vol. 4 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper WI9.
  2. C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.
  3. C. Poole and R. Wagner, Electron. Lett. 22, 1029 (1986).
    [CrossRef]
  4. C. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
    [CrossRef]
  5. C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.
  6. C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.
  7. C. Madsen and J. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, New York, 1999).
    [CrossRef]
  8. C. Anderson and J. Lyle, Electron. Lett. 30, 71 (1994).
    [CrossRef]

1998

C. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

1994

C. Anderson and J. Lyle, Electron. Lett. 30, 71 (1994).
[CrossRef]

1986

C. Poole and R. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Anderson, C.

C. Anderson and J. Lyle, Electron. Lett. 30, 71 (1994).
[CrossRef]

Bruce, A.

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

Cappuzzo, M.

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

Farbert, A.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Feise, G.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Fischer, G.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Ford, J.

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

Glingener, C.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Gomez, L.

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

Goossen, K.

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

Herrmann, H.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Hinz, S.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Kudo, T.

T. Ozeki and T. Kudo, in Optical Fiber Communication and International Conference on Integrated Optics and Optical Fiber Communication, Vol. 4 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper WI9.

Lenz, G.

C. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

Lyle, J.

C. Anderson and J. Lyle, Electron. Lett. 30, 71 (1994).
[CrossRef]

Madsen, C.

C. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

C. Madsen and J. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, New York, 1999).
[CrossRef]

Mirvoda, V.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Noe, R.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Ozeki, T.

T. Ozeki and T. Kudo, in Optical Fiber Communication and International Conference on Integrated Optics and Optical Fiber Communication, Vol. 4 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper WI9.

Poole, C.

C. Poole and R. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Ricken, R.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Sandel, D.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Schopflin, A.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Scotti, R.

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

Sohler, W.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Wagner, R.

C. Poole and R. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Walker, J.

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

Wehrmann, F.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Yoshida-Dierolf, M.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Zhao, J.

C. Madsen and J. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, New York, 1999).
[CrossRef]

Electron. Lett.

C. Poole and R. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

C. Anderson and J. Lyle, Electron. Lett. 30, 71 (1994).
[CrossRef]

IEEE Photon. Technol. Lett.

C. Madsen and G. Lenz, IEEE Photon. Technol. Lett. 10, 994 (1998).
[CrossRef]

Other

C. Madsen, G. Lenz, A. Bruce, M. Cappuzzo, L. Gomez, and R. Scotti, in Integrated Photonics Research, 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), paper RTuA1.

C. Madsen, J. Walker, J. Ford, K. Goossen, and G. Lenz, presented at the European Conference on Optical Communications, Nice, France, September 27-30, 1999.

C. Madsen and J. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, New York, 1999).
[CrossRef]

T. Ozeki and T. Kudo, in Optical Fiber Communication and International Conference on Integrated Optics and Optical Fiber Communication, Vol. 4 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper WI9.

C. Glingener, A. Schopflin, A. Farbert, G. Fischer, R. Noe, D. Sandel, S. Hinz, M. Yoshida-Dierolf, V. Mirvoda, G. Feise, H. Herrmann, R. Ricken, W. Sohler, and F. Wehrmann, in Optical Fiber Communication Conference (OFC), 1999 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1999), postdeadline paper PD-29.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Schematics of (a) PMD compensator, (b) a multistage APF consisting of cascaded ring resonators, and (c) a two-stage FIR 2×2 filter.

Fig. 2
Fig. 2

Cumulative probability distribution for receiver power penalty and various orders of phase-compensating filters. In addition, the case in which the polarization controller setting is such that P1ω0=1 and there is perfect phase compensation is shown.

Fig. 3
Fig. 3

Cumulative probability distribution versus receiver power penalty for two standard PMD compensating filters compared with an APF approach.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Mω=uω-v*ωvωu*ω.
M-1ω=u*ωv*ω-vωuω=Uωexp-jΦUωVωexp-jΦVω-VωexpjΦVωUωexpjΦUω.
Fω=gω-h*ωhωg*ω=GωexpjΦGω-Hωexp-jΦHωHωexpjΦHω-Gωexp-jΦGω.
FωMωPω0PωexpjωTd10 or 10,

Metrics