Abstract

We compare the eye-opening penalty from a first-order polarization mode dispersion (PMD) model with that from an all-order PMD model in optical fiber transmission systems. Evaluating the performance by taking into account only first-order PMD produces a good approximation of the true eye-opening penalty of uncompensated systems when the penalty is low. However, when the penalties are high, this model overestimates the penalty for outage probabilities in the range of interest for systems designers, which is typically approximately 10-5 to 10-6.

© 2003 Optical Society of America

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References

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  1. C. D. Poole and J. Nagel, in Optical Fiber Telecommunications III-A, I. P. Kaminow and T. L. Koch, eds. (Academic, San Diego, Calif., 1997).
  2. C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
    [CrossRef]
  3. H. Bülow, Electron. Lett. 31, 214 (1995).
    [CrossRef]
  4. A. Djupsjöbacka, IEEE Photon. Technol. Lett. 13, 660 (2001).
    [CrossRef]
  5. D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
    [CrossRef]
  6. C. D. Poole and D. L. Favin, J. Lightwave Technol. 12, 917 (1994).
    [CrossRef]
  7. I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
    [CrossRef]
  8. G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
    [CrossRef]

2002 (2)

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
[CrossRef]

2001 (1)

A. Djupsjöbacka, IEEE Photon. Technol. Lett. 13, 660 (2001).
[CrossRef]

1997 (1)

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

1995 (1)

H. Bülow, Electron. Lett. 31, 214 (1995).
[CrossRef]

1994 (1)

C. D. Poole and D. L. Favin, J. Lightwave Technol. 12, 917 (1994).
[CrossRef]

1991 (1)

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

Biondini, G.

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
[CrossRef]

Bülow, H.

H. Bülow, Electron. Lett. 31, 214 (1995).
[CrossRef]

Chraplyvy, A. R.

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

Djupsjöbacka, A.

A. Djupsjöbacka, IEEE Photon. Technol. Lett. 13, 660 (2001).
[CrossRef]

Favin, D. L.

C. D. Poole and D. L. Favin, J. Lightwave Technol. 12, 917 (1994).
[CrossRef]

Fishman, D. A.

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

Kath, W. L.

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
[CrossRef]

Lima, I. T.

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

Marcuse, D.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Marks, B.

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

Menyuk, C. R.

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
[CrossRef]

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Nagel, J.

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications III-A, I. P. Kaminow and T. L. Koch, eds. (Academic, San Diego, Calif., 1997).

Poole, C. D.

C. D. Poole and D. L. Favin, J. Lightwave Technol. 12, 917 (1994).
[CrossRef]

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications III-A, I. P. Kaminow and T. L. Koch, eds. (Academic, San Diego, Calif., 1997).

Tkash, R. W.

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

Wai, P. K. A.

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

Electron. Lett. (1)

H. Bülow, Electron. Lett. 31, 214 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

A. Djupsjöbacka, IEEE Photon. Technol. Lett. 13, 660 (2001).
[CrossRef]

C. D. Poole, R. W. Tkash, A. R. Chraplyvy, and D. A. Fishman, IEEE Photon. Technol. Lett. 3, 68 (1991).
[CrossRef]

I. T. Lima, G. Biondini, B. Marks, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 627 (2002).
[CrossRef]

G. Biondini, W. L. Kath, and C. R. Menyuk, IEEE Photon. Technol. Lett. 14, 310 (2002).
[CrossRef]

J. Lightwave Technol. (2)

D. Marcuse, C. R. Menyuk, and P. K. A. Wai, J. Lightwave Technol. 15, 1735 (1997).
[CrossRef]

C. D. Poole and D. L. Favin, J. Lightwave Technol. 12, 917 (1994).
[CrossRef]

Other (1)

C. D. Poole and J. Nagel, in Optical Fiber Telecommunications III-A, I. P. Kaminow and T. L. Koch, eds. (Academic, San Diego, Calif., 1997).

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Figures (4)

Fig. 1
Fig. 1

Outage probability as a function of the eye-opening penalty margin for a 10-Gbit/s NRZ system with pulse edge rise and fall times of 30 ps and mean DGD, Ω, equal to 14 ps. The dashed curve is the outage probability when only first-order PMD is considered, and the solid curve is the result when all-order (first- and higher-order) PMD distortion is considered. The outage probability is the probability that the eye-opening penalty exceeds the value displayed on the horizontal axis.

Fig. 2
Fig. 2

Same as Fig. 1, except that Ω=20 ps and the pulse edge rise and fall times are 30 ps.

Fig. 3
Fig. 3

Same as Fig. 1, except that Ω=20 ps and the pulse edge rise and fall times are 5 ps.

Fig. 4
Fig. 4

Conditional expectation of the second derivative of the DGD, Ωωω, given a value of the DGD, Ω.

Equations (6)

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

Eoutω=Tω·Einω,
Tω=i=1NSω·Si,
Sω=expjωΩs/200exp-jωΩs/2,
Si=cosξi/2j sinξi/2  ×expψi+ϕij/2  ×expψi-ϕij/2j sinξi/2cosξi/2  ×exp-ψi-ϕij/2  ×exp[-ψi+ϕi)j/2],
Ωs=3π/8NΩ,
Ωωω=Ωω2Ω-Ω·Ωω2Ω3+Ω·ΩωωΩ.

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