Abstract

We calculate the time shift function for collisions of pairs of pulses in different channels in a prototypical return-to-zero wavelength-division-multiplexed system with dispersion management and precompensation and postcompensation. Once the time shift function is known, the impairments that are due to collision-induced timing jitter can be rapidly determined. We characterize the shape of this function and determine how it scales with the initial pulse separation in time and with channel separation in wavelength. Finally, we apply it to the calculation of the worst-case time shift.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Sagahara, A. Maruta, and Y. Kodama, Opt. Lett. 24, 145 (1999).
    [CrossRef]
  2. P. V. Mamyshev and L. Mollenauer, Opt. Lett. 24, 448 (1999).
    [CrossRef]
  3. V. S. Grigoryan and A. Richter, J. Lightwave Technol. 18, 1148 (2000).
    [CrossRef]
  4. C. Xu, C. Xie, and L. Mollenauer, Opt. Lett. 27, 1303 (2002).
    [CrossRef]
  5. M. J. Ablowitz, A. Docherty, and T. Hirooka, Opt. Lett. 28, 1191 (2003), and references therein.
    [CrossRef] [PubMed]
  6. X. Liu, X. Wei, L. F. Mollenauer, C. J. McKinstrie, and C. Xie, Opt. Lett. 28, 1412 (2003), and references therein.
    [CrossRef] [PubMed]
  7. O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.
  8. M. J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty, and A. Docherty, Opt. Lett. 29, 2354 (2004).
    [CrossRef] [PubMed]
  9. W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.
  10. A. Docherty, “Collision induced timing shifts in wavelength-division-multiplexed optical fiber communication systems,” Ph.D. dissertation (University of New South Wales, Sydney, Australia, 2004).

2004 (1)

2003 (2)

2002 (1)

2000 (1)

1999 (2)

Ablowitz, M. J.

Adali, T.

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

Ahrens, C.

Biondini, G.

Chakravarty, S.

Docherty, A.

M. J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty, and A. Docherty, Opt. Lett. 29, 2354 (2004).
[CrossRef] [PubMed]

M. J. Ablowitz, A. Docherty, and T. Hirooka, Opt. Lett. 28, 1191 (2003), and references therein.
[CrossRef] [PubMed]

A. Docherty, “Collision induced timing shifts in wavelength-division-multiplexed optical fiber communication systems,” Ph.D. dissertation (University of New South Wales, Sydney, Australia, 2004).

Grigoryan, V. S.

V. S. Grigoryan and A. Richter, J. Lightwave Technol. 18, 1148 (2000).
[CrossRef]

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

Hirooka, T.

Holzlöhner, R.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

Kalra, A.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

Kodama, Y.

Liu, X.

Mamyshev, P. V.

Maruta, A.

McKinstrie, C. J.

Menyuk, C. R.

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

Mollenauer, L.

Mollenauer, L. F.

Richter, A.

Sagahara, H.

Sinkin, O. V.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

Wang, W.

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

Wei, X.

Xie, C.

Xu, C.

Zweck, J.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

J. Lightwave Technol. (1)

Opt. Lett. (6)

Other (3)

W. Wang, O. V. Sinkin, T. Adali, J. Zweck, and C. R. Menyuk, in Conference on Lasers and Electro-Optics (CLEO), Vol. 96 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper CFN5.

A. Docherty, “Collision induced timing shifts in wavelength-division-multiplexed optical fiber communication systems,” Ph.D. dissertation (University of New South Wales, Sydney, Australia, 2004).

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (OFC), Vol. 95 of OSA Trends in Optics and Photonics Series (Optical Society of America, 2004), paper TUN4.

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 (4)

Fig. 1
Fig. 1

Time shift function for two pump channels.

Fig. 2
Fig. 2

Collision dynamics for three pulses.

Fig. 3
Fig. 3

Scaled time shift function.

Fig. 4
Fig. 4

Worst-case time shift versus number of channels.

Equations (3)

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

T total = k , l α k l τ ( Δ f k , l ) ,
τ ( Δ f k , l ) = λ 2 2 π c 0 L Δ Ω k l ( z ) D ( z ) d z ,
d Δ Ω k l d z = 2 γ E T ( z ) u T ( z , t ) 2 u k l ( z , t ) 2 t d t ,

Metrics