Abstract

We numerically investigate XPM effect and XPM-induced nonlinear phase noise in both RZ-DPSK and multi-format (RZ-DPSK and RZ-OOK) WDM systems operating at 40 Gbit/s with different dispersion maps. The relative strength of XPM effect and XPM-induced nonlinear phase noise is discussed for both RZ-DPSK and multi-format WDM transmission. With optimum dispersion mapping, XPM and XPM-induced nonlinear phase noise from neighboring channels carrying either OOK or DPSK signals can both be effectively suppressed.

© 2007 Optical Society of America

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    [CrossRef]
  4. G. Bellotti and S. Bigo, "Cross-phase modulation suppressor for multispan dispersion-managed WDM transmissions," IEEE Photon. Technol. Lett. 12, 726-728 (2000).
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  5. G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
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    [CrossRef]

2007 (1)

S. Chandrasekhar and X. Liu, "Impact of channel plan and dispersion map on hybrid DWDM transmission of 42.7-Gb/s DQPSK and 10.7-Gb/s OOK on 50-GHz grid," IEEE Photon. Technol. Lett. 19, 1801-1803 (2007).
[CrossRef]

2006 (3)

2005 (3)

S. Kumar, "Effect of dispersion on nonlinear phase noise in optical transmission systems," Opt. Lett. 30, 3278-3280 (2005).
[CrossRef]

W. Astar, A. S. Lenihan, and G. M. Carter, "Performance of DBPSK in a 5 × 10 Gb/s mixed modulation format Raman/EDFA WDM system," IEEE Photon. Technol. Lett. 17, 2766-2768 (2005).
[CrossRef]

K.-P. Ho and H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).
[CrossRef]

2004 (3)

Y. Yadin, M. Shtaif, and M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
[CrossRef]

K.-P. Ho, "Error probability of DPSK signals with cross-phase modulation induced nonlinear phase noise," IEEE J. Select. Top. Quantum. Electron. 10, 421-427 (2004).
[CrossRef]

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

2003 (3)

H. Kim and A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).
[CrossRef]

K.-P. Ho, "Performance degradation of phase-modulated systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1213-1215 (2003).
[CrossRef]

H. Kim, "Cross-phase-modulation-induced nonlinear phase noise in WDM direct-detection DPSK systems," IEEE/OSAJ. Lightwave Technol. 21, 1770-1774 (2003).
[CrossRef]

2001 (1)

S. Betti and M. Giaconi, "Analysis of the cross-phase modulation in dispersion compensated WDM optical fiber systems," IEEE Photon. Technol. Lett. 13, 1304-1306 (2001).
[CrossRef]

2000 (3)

G. Bellotti and S. Bigo, "Cross-phase modulation suppressor for multispan dispersion-managed WDM transmissions," IEEE Photon. Technol. Lett. 12, 726-728 (2000).
[CrossRef]

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

1999 (1)

S. Bigo, G. Bellotti, and M. W. Chbat, "Investigation of cross-phase modulation limitation on over various types of fiber infrastructures," IEEE Photon. Technol. Lett. 11, 605-607 (1999).
[CrossRef]

1996 (1)

T.-K. Chiang, N. Kagi, M. E. Marhic, and L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators," J. Lightwave Technol. 14, 249-259 (1996).
[CrossRef]

1995 (1)

M.-K. Liu, A. C. Vrahas, and M.-J. B. Moretti, "Saddle point bit error rate computations for optical communication systems incorporating equalizers," IEEE Trans. Commun. 43, 989-1000 (1995).
[CrossRef]

1990 (1)

Astar, W.

W. Astar, A. S. Lenihan, and G. M. Carter, "Performance of DBPSK in a 5 × 10 Gb/s mixed modulation format Raman/EDFA WDM system," IEEE Photon. Technol. Lett. 17, 2766-2768 (2005).
[CrossRef]

Bachus, E.-J.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Bellotti, G.

G. Bellotti and S. Bigo, "Cross-phase modulation suppressor for multispan dispersion-managed WDM transmissions," IEEE Photon. Technol. Lett. 12, 726-728 (2000).
[CrossRef]

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

S. Bigo, G. Bellotti, and M. W. Chbat, "Investigation of cross-phase modulation limitation on over various types of fiber infrastructures," IEEE Photon. Technol. Lett. 11, 605-607 (1999).
[CrossRef]

Betti, S.

S. Betti and M. Giaconi, "Analysis of the cross-phase modulation in dispersion compensated WDM optical fiber systems," IEEE Photon. Technol. Lett. 13, 1304-1306 (2001).
[CrossRef]

Bigo, S.

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

G. Bellotti and S. Bigo, "Cross-phase modulation suppressor for multispan dispersion-managed WDM transmissions," IEEE Photon. Technol. Lett. 12, 726-728 (2000).
[CrossRef]

S. Bigo, G. Bellotti, and M. W. Chbat, "Investigation of cross-phase modulation limitation on over various types of fiber infrastructures," IEEE Photon. Technol. Lett. 11, 605-607 (1999).
[CrossRef]

Bunge, C-A.

Carter, G. M.

W. Astar, A. S. Lenihan, and G. M. Carter, "Performance of DBPSK in a 5 × 10 Gb/s mixed modulation format Raman/EDFA WDM system," IEEE Photon. Technol. Lett. 17, 2766-2768 (2005).
[CrossRef]

Caspar, C.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar and X. Liu, "Impact of channel plan and dispersion map on hybrid DWDM transmission of 42.7-Gb/s DQPSK and 10.7-Gb/s OOK on 50-GHz grid," IEEE Photon. Technol. Lett. 19, 1801-1803 (2007).
[CrossRef]

Chbat, M. W.

S. Bigo, G. Bellotti, and M. W. Chbat, "Investigation of cross-phase modulation limitation on over various types of fiber infrastructures," IEEE Photon. Technol. Lett. 11, 605-607 (1999).
[CrossRef]

Chiang, T.-K.

T.-K. Chiang, N. Kagi, M. E. Marhic, and L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators," J. Lightwave Technol. 14, 249-259 (1996).
[CrossRef]

Chraplyvy, A. R.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

Cortes, P.-Y.

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

Essiambre, R.-J.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

Gauchard, S.

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

Giaconi, M.

S. Betti and M. Giaconi, "Analysis of the cross-phase modulation in dispersion compensated WDM optical fiber systems," IEEE Photon. Technol. Lett. 13, 1304-1306 (2001).
[CrossRef]

Gnauck, A. H.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

H. Kim and A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).
[CrossRef]

Gordon, J. P.

Hanik, N.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Heimes, N.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Ho, K.-P.

K.-P. Ho and H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).
[CrossRef]

K.-P. Ho, "Error probability of DPSK signals with cross-phase modulation induced nonlinear phase noise," IEEE J. Select. Top. Quantum. Electron. 10, 421-427 (2004).
[CrossRef]

K.-P. Ho, "Performance degradation of phase-modulated systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1213-1215 (2003).
[CrossRef]

Kagi, N.

T.-K. Chiang, N. Kagi, M. E. Marhic, and L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators," J. Lightwave Technol. 14, 249-259 (1996).
[CrossRef]

Kazovsky, L. G.

T.-K. Chiang, N. Kagi, M. E. Marhic, and L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators," J. Lightwave Technol. 14, 249-259 (1996).
[CrossRef]

Kim, H.

H. Kim, "Cross-phase-modulation-induced nonlinear phase noise in WDM direct-detection DPSK systems," IEEE/OSAJ. Lightwave Technol. 21, 1770-1774 (2003).
[CrossRef]

H. Kim and A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).
[CrossRef]

Konitzer, M.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Kumar, S.

LaRochelle, S.

G. Bellotti, S. Bigo, P.-Y. Cortes, S. Gauchard, and S. LaRochelle, "10×10 Gb/s cross-phase modulation suppressor for multispan transmission using WDM narrow-band fiber bragg gratings," IEEE Photon. Technol. Lett. 12, 1403-1405 (2000).
[CrossRef]

Lenihan, A. S.

W. Astar, A. S. Lenihan, and G. M. Carter, "Performance of DBPSK in a 5 × 10 Gb/s mixed modulation format Raman/EDFA WDM system," IEEE Photon. Technol. Lett. 17, 2766-2768 (2005).
[CrossRef]

Li, X.

Liu, M.-K.

M.-K. Liu, A. C. Vrahas, and M.-J. B. Moretti, "Saddle point bit error rate computations for optical communication systems incorporating equalizers," IEEE Trans. Commun. 43, 989-1000 (1995).
[CrossRef]

Liu, X.

S. Chandrasekhar and X. Liu, "Impact of channel plan and dispersion map on hybrid DWDM transmission of 42.7-Gb/s DQPSK and 10.7-Gb/s OOK on 50-GHz grid," IEEE Photon. Technol. Lett. 19, 1801-1803 (2007).
[CrossRef]

Marhic, M. E.

T.-K. Chiang, N. Kagi, M. E. Marhic, and L. G. Kazovsky, "Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators," J. Lightwave Technol. 14, 249-259 (1996).
[CrossRef]

Mollenauer, L. F.

Moretti, M.-J. B.

M.-K. Liu, A. C. Vrahas, and M.-J. B. Moretti, "Saddle point bit error rate computations for optical communication systems incorporating equalizers," IEEE Trans. Commun. 43, 989-1000 (1995).
[CrossRef]

Orenstein, M.

Y. Yadin, M. Shtaif, and M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
[CrossRef]

Petermann, K.

Richter, A.

Rohde, M.

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Shtaif, M.

Y. Yadin, M. Shtaif, and M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
[CrossRef]

Vrahas, A. C.

M.-K. Liu, A. C. Vrahas, and M.-J. B. Moretti, "Saddle point bit error rate computations for optical communication systems incorporating equalizers," IEEE Trans. Commun. 43, 989-1000 (1995).
[CrossRef]

Wang, H.-C.

K.-P. Ho and H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).
[CrossRef]

Wickham, L. K.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

Winzer, P. J.

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

Yadin, Y.

Y. Yadin, M. Shtaif, and M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
[CrossRef]

Zhang, F.

Zhu, X.

Electron. Lett. (1)

M. Rohde, C. Caspar, N. Heimes, M. Konitzer, E.-J. Bachus, and N. Hanik, "Robustness of DPSK direct detection transmission format in standard fibre WDM systems," Electron. Lett. 36, 1483-1484 (2000).
[CrossRef]

Appl. Opt. (1)

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

K.-P. Ho, "Error probability of DPSK signals with cross-phase modulation induced nonlinear phase noise," IEEE J. Select. Top. Quantum. Electron. 10, 421-427 (2004).
[CrossRef]

IEEE Photon. Technol. Lett. (11)

L. K. Wickham, R.-J. Essiambre, A. H. Gnauck, P. J. Winzer, and A. R. Chraplyvy, "Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission," IEEE Photon. Technol. Lett. 16, 1591-1593 (2004).
[CrossRef]

H. Kim and A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).
[CrossRef]

K.-P. Ho, "Performance degradation of phase-modulated systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1213-1215 (2003).
[CrossRef]

K.-P. Ho and H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four-wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).
[CrossRef]

Y. Yadin, M. Shtaif, and M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
[CrossRef]

W. Astar, A. S. Lenihan, and G. M. Carter, "Performance of DBPSK in a 5 × 10 Gb/s mixed modulation format Raman/EDFA WDM system," IEEE Photon. Technol. Lett. 17, 2766-2768 (2005).
[CrossRef]

S. Chandrasekhar and X. Liu, "Impact of channel plan and dispersion map on hybrid DWDM transmission of 42.7-Gb/s DQPSK and 10.7-Gb/s OOK on 50-GHz grid," IEEE Photon. Technol. Lett. 19, 1801-1803 (2007).
[CrossRef]

S. Betti and M. Giaconi, "Analysis of the cross-phase modulation in dispersion compensated WDM optical fiber systems," IEEE Photon. Technol. Lett. 13, 1304-1306 (2001).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

System configuration in our simulation. For RZ-DPSK WDM system, the three channels all carry RZ-DPSK signals with 33% duty cycle. For multi-format WDM system, the center channel still transmits RZ-DPSK signals, while its two neighbors use 33% RZ-OOK format.

Fig. 2.
Fig. 2.

BER as a function of pre-compensation for 40 Gbit/s RZ-DPSK systems. (a) with both XPM effect and XPM-induced nonlinear phase noise; (b) comparing XPM effect with XPM-induced nonlinear phase noise.

Fig. 3.
Fig. 3.

BER as a function of pre-compensation for a 40 Gbit/s RZ-DPSK channel in multi-format WDM systems. (a) with both XPM effect and XPM-induced nonlinear phase noise; (b) comparing XPM effect with XPM-induced nonlinear phase noise. The single-channel RZ-DPSK transmission is shown for comparison.

Fig. 4.
Fig. 4.

BER as a function of pre-compensation for a 40 Gbit/s RZ-DPSK channel in DPSK and multi-format WDM systems using SSMF.

Equations (1)

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MGF ( s ) = 1 ( 1 + s · N ) M exp ( s · E 1 + s · N ) × 1 ( 1 s · N ) M

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