Abstract

Nonlinearity management is explored as a complete tool to obtain maximum transmission reach in a WDM fiber transmission system, making it possible to optimize multiple system parameters, including optimal dispersion pre-compensation, with fast simulations based on the continuous-wave approximation.

© 2006 Optical Society of America

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References

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  1. R. Gabitov and P. M. Lushnikov , “ Nonlinearity management in a dispersion-managed system ,” Opt. Lett.   27 , 113 – 115 ( 2002 )
    [CrossRef]
  2. R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
    [CrossRef]
  3. J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
    [CrossRef]
  4. J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
    [CrossRef] [PubMed]
  5. S. Bigo , “ Optimizing terrestrial systems for 40Gbit/s channel rate ,” Proceedings of the 31 st European Conference on Optical Communications   5 , pp. 137 – 157 ( 2005 )
  6. R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
    [CrossRef]
  7. R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
    [CrossRef]
  8. I. Joindot , “ Dispersion map optimization in hybrid Raman/erbium-doped fiber amplifier-based 40-Gb/s link ,” Photon. Technol. Lett.   17 , 1555 - 1557 ( 2005 )
    [CrossRef]
  9. A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
    [CrossRef]
  10. J. Park , J. Park , D. Lee , N.Y. Kim , H. Lee , and N. Park , “ Nonlinear phase shift scanning method for the optimal design of Raman transmission systems ,” J. Lightwave Technol.   24 , 1257 – 1268 ( 2006 )
    [CrossRef]
  11. J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
    [CrossRef]
  12. S. Namiki and Y. Emori , “ Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes ,” J. Sel. Top. Quantum Electron. ,   7 , 3 – 16 ( 2001 )
    [CrossRef]
  13. L.K. Wickham , R.-J. Essiambre , A.H. Gnauk , P.J. Winzer , and A.R. Chralpyvy , “ Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission ,” Photon. Technol. Lett.   16 , 1591 – 1593 ( 2004 )
    [CrossRef]

2006 (1)

2005 (3)

J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
[CrossRef] [PubMed]

S. Bigo , “ Optimizing terrestrial systems for 40Gbit/s channel rate ,” Proceedings of the 31 st European Conference on Optical Communications   5 , pp. 137 – 157 ( 2005 )

I. Joindot , “ Dispersion map optimization in hybrid Raman/erbium-doped fiber amplifier-based 40-Gb/s link ,” Photon. Technol. Lett.   17 , 1555 - 1557 ( 2005 )
[CrossRef]

2004 (4)

R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
[CrossRef]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

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

2002 (2)

R. Gabitov and P. M. Lushnikov , “ Nonlinearity management in a dispersion-managed system ,” Opt. Lett.   27 , 113 – 115 ( 2002 )
[CrossRef]

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

2001 (2)

A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
[CrossRef]

S. Namiki and Y. Emori , “ Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes ,” J. Sel. Top. Quantum Electron. ,   7 , 3 – 16 ( 2001 )
[CrossRef]

2000 (1)

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

Ania-Castañón, J.D.

J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
[CrossRef] [PubMed]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Bayvel, P.

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

Bigo, S.

S. Bigo , “ Optimizing terrestrial systems for 40Gbit/s channel rate ,” Proceedings of the 31 st European Conference on Optical Communications   5 , pp. 137 – 157 ( 2005 )

Borsier, C.

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Bouteiller, J.-C.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

Brar, K.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

Brochier, N.

Bromage, J.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

Carena, A.

A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
[CrossRef]

Chralpyvy, A.R.

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

Curri, V.

A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
[CrossRef]

Driben, R.

R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
[CrossRef]

Emori, Y.

S. Namiki and Y. Emori , “ Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes ,” J. Sel. Top. Quantum Electron. ,   7 , 3 – 16 ( 2001 )
[CrossRef]

Essiambre, R.-J.

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

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

Gabitov, R.

Gnauk, A.H.

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

Joindot, I.

I. Joindot , “ Dispersion map optimization in hybrid Raman/erbium-doped fiber amplifier-based 40-Gb/s link ,” Photon. Technol. Lett.   17 , 1555 - 1557 ( 2005 )
[CrossRef]

Killey, R.I.

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

Kim, C. H.

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

Kim, N.Y.

Kurukitkoson, N.

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Lee, D.

Lee, H.

Lushnikov, P. M.

Mahlab, U.

R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
[CrossRef]

Malomed, B. A.

R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
[CrossRef]

Mikhailov, V.

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

Namiki, S.

S. Namiki and Y. Emori , “ Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes ,” J. Sel. Top. Quantum Electron. ,   7 , 3 – 16 ( 2001 )
[CrossRef]

Nasieva, I.O.

J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
[CrossRef] [PubMed]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Nelson, L. E.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

Park, J.

Park, N.

Pincemin, E.

J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
[CrossRef] [PubMed]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Poggliolini, P.

A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
[CrossRef]

Stulz, S.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

Thiele, H.J.

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

Thiele, H.-J.

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

Turitsyn, S.K.

J.D. Ania-Castañón , I.O. Nasieva , S.K. Turitsyn , N. Brochier , and E. Pincemin , “ Optimal span length in high-speed transmission systems with hybrid Raman-erbium-doped fiber amplification ,” Opt. Lett.   30 , 23 – 25 ( 2005 )
[CrossRef] [PubMed]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Wickham, L.K.

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

Winzer, P.

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

Winzer, P.J.

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

J. Lightwave Technol. (1)

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

S. Namiki and Y. Emori , “ Ultrabroad-band Raman amplifiers pumped and gain-equalized by wavelength-division-multiplexed high-power laser diodes ,” J. Sel. Top. Quantum Electron. ,   7 , 3 – 16 ( 2001 )
[CrossRef]

Opt. Commun. (2)

R. Driben , B. A. Malomed , and U. Mahlab , “ Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links ,” Opt. Commun.   232 , 129 – 138 ( 2004 )
[CrossRef]

J.D. Ania-Castañón , I.O. Nasieva , N. Kurukitkoson , S.K. Turitsyn , C. Borsier , and E. Pincemin , “ Nonlinearity management in fiber transmission systems with hybrid amplification ,” Opt. Commun.   233 , 353 – 357 ( 2004 ).
[CrossRef]

Opt. Lett. (2)

Photon. Technol. Lett. (6)

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

J.-C. Bouteiller , J. Bromage , H.-J. Thiele , L. E. Nelson , K. Brar , and S. Stulz , “ An optimization process for Raman-amplified long-span transmission ,” Photon. Technol. Lett.   16 , 326 – 328 ( 2004 )
[CrossRef]

R.-J. Essiambre , P. Winzer , J. Bromage , and C. H. Kim , “ Design of Bidirectionally Pumped Fiber Amplifiers Generating Double Rayleigh Backscattering ,” Photon. Technol. Lett.   14 , 914 – 916 ( 2002 )
[CrossRef]

R.I. Killey , H.J. Thiele , V. Mikhailov , and P. Bayvel , “ Reduction of intrachannel nonlinear distortion in 40-Gb/s-based WDM transmission over standard fiber ,” Photon. Technol. Lett.   12 , 1624 – 1626 ( 2000 )
[CrossRef]

I. Joindot , “ Dispersion map optimization in hybrid Raman/erbium-doped fiber amplifier-based 40-Gb/s link ,” Photon. Technol. Lett.   17 , 1555 - 1557 ( 2005 )
[CrossRef]

A. Carena , V. Curri , and P. Poggliolini , “ On the optimization of hybrid Raman/erbium-doped fiber amplifiers ,” Photon. Technol. Lett.   13 , 1170 - 1172 ( 2001 )
[CrossRef]

Proceedings of the 31 st European Conference on Optical Communications (1)

S. Bigo , “ Optimizing terrestrial systems for 40Gbit/s channel rate ,” Proceedings of the 31 st European Conference on Optical Communications   5 , pp. 137 – 157 ( 2005 )

Supplementary Material (1)

» Media 1: GIF (108 KB)     

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Figures (5)

Fig. 1.
Fig. 1.

System Schematic.

Fig. 2.
Fig. 2.

NPS vs. η1 and L, with η2 = 1, for an OSNR of 20 dB after 900 km (Animation shows results for different values of η2) [Media 1]

Fig. 3.
Fig. 3.

Max reach (Km) vs. Span length and input power for 16-channel OOK RZ-50% transmission, with no dispersion pre-compensation or average dispersion optimization.

Fig. 4.
Fig. 4.

Optimal pre-compensation lengths (red dash) and accumulated NPS (black) vs. η1 and L, for the case of η2 = 1 OSNR = 20 dB

Fig. 5
Fig. 5

Reach (Km) vs. pre-compensation length and average dispersion for the optimal span configuration and input average power. White dashed line: expected drift with average dispersion according to Killey’s formula.

Equations (3)

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0 z ' P in e α S z dz = z ' L P in e α S z dz ,
D pre = D SMF α S ln ( 2 1 + e α S L ) ND res 2 .
0 z ' P S ( z ) dz = z ' L P S ( z ) dz ,

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