Abstract

We present an analytic theory of timing jitter in dispersion-managed light-wave systems that is based on the moment method and the assumption of a chirped Gaussian pulse. We apply the theory to a soliton system and show that 50% postcompensation of the accumulated dispersion can reduce the jitter by a factor of 2. We also apply the theory to a low-power light-wave system employing the return-to-zero format and find that timing jitter can be minimized along the fiber link for an optimal choice of precompensation and postcompensation.

© 2001 Optical Society of America

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References

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    [CrossRef] [PubMed]
  2. G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).
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    [CrossRef]
  4. S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).
  5. I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
    [CrossRef]
  6. V. S. Grigoryan and C. R. Menyuk, Opt. Lett. 23, 609 (1998).
    [CrossRef]
  7. A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, Opt. Lett. 23, 900 (1998).
    [CrossRef]
  8. T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
    [CrossRef]
  9. W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
    [CrossRef]

1999

1998

1997

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[CrossRef]

1993

W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
[CrossRef]

1986

1971

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).

Agrawal, G. P.

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).

Berntson, A.

Blow, K. J.

W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
[CrossRef]

Doran, N. J.

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, Opt. Lett. 23, 900 (1998).
[CrossRef]

W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
[CrossRef]

Forysiak, W.

A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, Opt. Lett. 23, 900 (1998).
[CrossRef]

W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
[CrossRef]

Gabitov, I. R.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[CrossRef]

Gordon, J. P.

Grigoryan, V. S.

Haus, H. A.

Kaup, D. J.

T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
[CrossRef]

Lakoba, T. I.

T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
[CrossRef]

Malomed, B. A.

T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
[CrossRef]

Menyuk, C. R.

Mu, R. M.

Nijhof, J. H. B.

Petrishchev, V. A.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).

Shapiro, E. G.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[CrossRef]

Talanov, V. I.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).

Turitsyn, S. K.

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[CrossRef]

Vlasov, S. N.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).

Yang, J.

T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
[CrossRef]

Electron. Lett.

W. Forysiak, K. J. Blow, and N. J. Doran, Electron. Lett. 29, 1225 (1993).
[CrossRef]

J. Lightwave Technol.

Opt. Commun.

T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
[CrossRef]

I. R. Gabitov, E. G. Shapiro, and S. K. Turitsyn, Opt. Commun. 134, 317 (1997).
[CrossRef]

Opt. Lett.

Radiophys. Quantum Electron.

S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Radiophys. Quantum Electron. 14, 1353 (1971).

Other

G. P. Agrawal, Applications of Nonlinear Fiber Optics (Academic, San Diego, Calif., 2001).

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Figures (2)

Fig. 1
Fig. 1

Effect of postcompensation on the timing jitter of a 40Gbit/s DM-soliton system for the dispersion map described in the text (four map periods over 80.8  km of amplifier spacing). Jitter, σc, is plotted as a function of the number of amplifiers for four values of y (the fraction of postcompensation).

Fig. 2
Fig. 2

Effect of precompensation and postcompensation on timing jitter of a 40Gbit/s low-power (2.5-mW peak power) CRZ system for the dispersion map used in Fig.  1. (a)  No precompensation and complete postcompensation, (b)  complete precompensation and no postcompensation, (c)  75% precompensation and 25% postcompensation. The dots represent the results of numerical simulations.

Equations (13)

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iAz-β222At2+γA2A=i2gzA,
Tz=1E-tAz,t2dt,
Wz=i2E-A*At-AAt*dt,
dWdz=j=1NδWjδz-zj,
dTdz=β2W+j=1NδTjδz-zj,
A=aexpiϕ-iWt-T-1+iCt-T2/2τ2,
δT2=2SE2-t-T2B2dt=Sτ2E,
δW2=2SE2-Bt2dt=S1+C2Eτ2,
δT δW=iS2E2-t-TB*Bt-BBt*dt=SCE,
σt2=T2-T2=S/Eτ02N1+C2+NN-1Cd+16NN-12N-1d2,
σc2=σt2+S/Eτ022NCdc+NdcN-1d+dc,
σc2S/Eτ02N3d213-y+y2.
σc2=S/Eτ02N+NNd+dp+dc2,

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