Abstract

We introduce a fully deterministic, computationally efficient method for characterizing the effect of nonlinearity in optical fiber transmission systems that utilize wavelength-division multiplexing and return-to-zero modulation. The method accurately accounts for bit-pattern-dependent nonlinear distortion due to collision-induced timing jitter and for amplifier noise. We apply this method to calculate the error probability as a function of channel spacing in a prototypical multichannel return-to-zero undersea system.

© 2006 Optical Society of America

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2006

2005

2003

2001

E. G. Shapiro, M. P. Fedoruk, and S. K. Turitsyn, Electron. Lett. 37, 1179 (2001).
[CrossRef]

2000

1999

Ablowitz, M.

Ablowitz, M. J.

Ahrens, C.

Allen, C. T.

Bayvel, P.

H. J. Thiele, R. I. Killey, and P. Bayvel, Electron. Lett. 35, 408 (1999).
[CrossRef]

Cartaxo, A.

Chongcheng, F.

Demarest, K. R.

Docherty, A.

Fedoruk, M. P.

E. G. Shapiro, M. P. Fedoruk, and S. K. Turitsyn, Electron. Lett. 37, 1179 (2001).
[CrossRef]

Forestieri, E.

Grigoryan, V. S.

C. Ahrens, M. J. Ablowitz, A. Docherty, O. V. Sinkin, J. Zweck, V. S. Grigoryan, and C. R. Menyuk, Opt. Lett. 31, 5 (2006).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, C. R. Menyuk, A. Docherty, and M. Ablowitz, Opt. Lett. 30, 2056 (2005).
[CrossRef] [PubMed]

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

O. V. Sinkin, V. S. Grigoryan, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (Optical Society of America, 2006), paper JThB3.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Holzlöhner, R.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Hui, R.

Inoue, T.

Jiang, Z.

Kalra, A.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Kato, H.

Killey, R. I.

H. J. Thiele, R. I. Killey, and P. Bayvel, Electron. Lett. 35, 408 (1999).
[CrossRef]

Kodama, Y.

Maruta, A.

Menyuk, C. R.

C. Ahrens, M. J. Ablowitz, A. Docherty, O. V. Sinkin, J. Zweck, V. S. Grigoryan, and C. R. Menyuk, Opt. Lett. 31, 5 (2006).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, C. R. Menyuk, A. Docherty, and M. Ablowitz, Opt. Lett. 30, 2056 (2005).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (Optical Society of America, 2006), paper JThB3.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Richter, A.

Shapiro, E. G.

E. G. Shapiro, M. P. Fedoruk, and S. K. Turitsyn, Electron. Lett. 37, 1179 (2001).
[CrossRef]

Sinkin, O. V.

C. Ahrens, M. J. Ablowitz, A. Docherty, O. V. Sinkin, J. Zweck, V. S. Grigoryan, and C. R. Menyuk, Opt. Lett. 31, 5 (2006).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, C. R. Menyuk, A. Docherty, and M. Ablowitz, Opt. Lett. 30, 2056 (2005).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (Optical Society of America, 2006), paper JThB3.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Sugahara, H.

Thiele, H. J.

H. J. Thiele, R. I. Killey, and P. Bayvel, Electron. Lett. 35, 408 (1999).
[CrossRef]

Turitsyn, S. K.

E. G. Shapiro, M. P. Fedoruk, and S. K. Turitsyn, Electron. Lett. 37, 1179 (2001).
[CrossRef]

Zweck, J.

C. Ahrens, M. J. Ablowitz, A. Docherty, O. V. Sinkin, J. Zweck, V. S. Grigoryan, and C. R. Menyuk, Opt. Lett. 31, 5 (2006).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, C. R. Menyuk, A. Docherty, and M. Ablowitz, Opt. Lett. 30, 2056 (2005).
[CrossRef] [PubMed]

O. V. Sinkin, V. S. Grigoryan, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (Optical Society of America, 2006), paper JThB3.

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

Electron. Lett.

H. J. Thiele, R. I. Killey, and P. Bayvel, Electron. Lett. 35, 408 (1999).
[CrossRef]

E. G. Shapiro, M. P. Fedoruk, and S. K. Turitsyn, Electron. Lett. 37, 1179 (2001).
[CrossRef]

J. Lightwave Technol.

Opt. Lett.

Other

O. V. Sinkin, V. S. Grigoryan, R. Holzlöhner, A. Kalra, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference, Vol. 95 of OSA Trends in Optics and Photonics (Optical Society of America, 2004), paper TuN4.

O. V. Sinkin, V. S. Grigoryan, J. Zweck, and C. R. Menyuk, in Optical Fiber Communication Conference (Optical Society of America, 2006), paper JThB3.

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Figures (2)

Fig. 1
Fig. 1

Pdf of collision-induced time shift.

Fig. 2
Fig. 2

BER as a function of channel spacing.

Equations (7)

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

u T z + i β 2 2 u T t 2 i γ ( u T 2 + 2 k , l α k l u k l 2 ) u T = g u T ,
τ k l = 0 L Δ Ω k l ( z ) β ( 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 .
u k l ( z , t ) = u T ( z , t 0 z 2 π Δ f k β ( x ) d x + T bit l ) ,
w ( ξ ) = exp ( i ξ T total ) = exp ( i ξ k , l α k l τ k l ) ,
w ( ξ ) = k l { 1 2 [ 1 + exp ( i ξ τ k l ) ] } .
p T , Char ( t ) = 1 2 π w ( ξ ) exp ( i ξ t ) d ξ .

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