Abstract

We propose a numerical method to accurately discriminate the influence of the different intrachannel nonlinear effects occurring in 40Gbits optical transmissions, following an analogy with methods used to discriminate WDM interchannel effects. In contrast to other studies showing the predominance of intrachannel cross-phase modulation when low-dispersion fibers are used, in our study intrachannel four-wave mixing is the most penalizing effect in all investigated cases.

© 2006 Optical Society of America

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References

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  1. V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.
  2. S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
    [CrossRef]
  3. R.-J. Essiambre, in Laser and Electro-Optics Society 2003 (LEOS 2003) (IEEE-LEOS, 2003), Vol. 2, p. 840.
    [CrossRef]
  4. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).
  5. X. Wei and X. Liu, Opt. Lett. 28, 2300 (2003).
    [CrossRef] [PubMed]
  6. E. Forestieri, J. Lightwave Technol. 18, 1493 (2000).
    [CrossRef]
  7. L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
    [CrossRef]
  8. J. Mårtensson, A. Berntson, M. Westlund, A. Danielsson, P. Johannisson, D. Anderson, and M. Lisak, Opt. Lett. 26, 55 (2001).
    [CrossRef]

2004 (1)

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

2003 (2)

X. Wei and X. Liu, Opt. Lett. 28, 2300 (2003).
[CrossRef] [PubMed]

R.-J. Essiambre, in Laser and Electro-Optics Society 2003 (LEOS 2003) (IEEE-LEOS, 2003), Vol. 2, p. 840.
[CrossRef]

2002 (1)

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

2001 (3)

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

J. Mårtensson, A. Berntson, M. Westlund, A. Danielsson, P. Johannisson, D. Anderson, and M. Lisak, Opt. Lett. 26, 55 (2001).
[CrossRef]

2000 (1)

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Anderson, D.

Appathurai, S.

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

Bayvel, P.

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

Berntson, A.

Chowdhury, D. Q.

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

Chraplyvy, A. R.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

Danielsson, A.

Essiambre, R.-J.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

R.-J. Essiambre, in Laser and Electro-Optics Society 2003 (LEOS 2003) (IEEE-LEOS, 2003), Vol. 2, p. 840.
[CrossRef]

Forestieri, E.

Gnauck, A. H.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

Johannisson, P.

Killey, R. I.

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

Kumar, S.

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

Lisak, M.

Liu, X.

Mårtensson, J.

Mauro, J. C.

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

Mikhailov, V.

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

Raghavan, S.

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

Wei, X.

Westlund, M.

Wickham, L. K.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

Winzer, P. J.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

S. Kumar, J. C. Mauro, S. Raghavan, and D. Q. Chowdhury, IEEE J. Sel. Top. Quantum Electron. 8, 626 (2002).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, IEEE Photon. Technol. Lett. 16, 1591 (2004).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Lett. (2)

Other (3)

V. Mikhailov, R. I. Killey, S. Appathurai, and P. Bayvel, in 27th European Conference on Communications (IEEE, 2001), p. 92, paper Mo.L.3.4.

R.-J. Essiambre, in Laser and Electro-Optics Society 2003 (LEOS 2003) (IEEE-LEOS, 2003), Vol. 2, p. 840.
[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

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Figures (5)

Fig. 1
Fig. 1

Intrachannel nonlinear effects discriminating method: example of a separation of the different bits of a 4 bit sequence into four channels carried by the same wavelength.

Fig. 2
Fig. 2

Influence of the length of the binary sequence for a transmission over (left) a 17 ps nm km and (right) a 4 ps nm km dispersion fiber.

Fig. 3
Fig. 3

Q versus input power for an optimal transmission for 17 and 4 ps nm km dispersion fibers when i-SPM and i-XPM are taken into account. Inset, electrical eye diagram for this configuration.

Fig. 4
Fig. 4

Effect of i-FWM for both fiber types. Triangles, 17 ps nm km dispersion fibers, circles, 4 ps nm km dispersion fibers. White symbols, simulated i-SPM and i-XPM; gray, i-SPM and i-FWM; black, i-SPM, i-XPM, and i-FWM.

Fig. 5
Fig. 5

Electrical eye diagrams (a), (b) over a 17 ps nm km dispersion fiber at 5 dBm and (c), (d) over a 4 ps nm km one at 7 dBm with (a), (c) simulated i-SPM and i-FWM and with (b), (c), i-SPM, i-XPM, and i-FWM.

Equations (3)

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

E 0 ( z , t ) z = i γ E 0 2 E 0 = i γ [ j = 1 n ( E j 2 E j + 2 k j E k 2 E j ) + j = 1 n l j k l E j E k E l * ] .
E j ( z , t ) z = i γ [ E j ( E j 2 + 2 k j E k 2 ) + k j l j E k E l E k + l j * ] .
[ E j ( z , t ) z ] i - S P M  and  i - F W M = i γ E j ( E 0 2 2 k j E k 2 ) .

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