Abstract

We show that the accumulation rate of nonlinearity in highly-dispersive long-haul coherent links can also be measured from the nonlinear threshold decrease rate, and provide simulations of such rates for both single- and cross-channel effects. We then show how the estimated rate can be used for the overall system design.

© 2012 OSA

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  1. M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. S. Pak, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express16(20), 4228–4236, (2008).
    [CrossRef] [PubMed]
  2. X. Chen and W. Shieh, “Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express18(18), 19039–19054 (2010).
    [CrossRef] [PubMed]
  3. G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.
  4. P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
    [CrossRef]
  5. E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express19(13), 12781–12788 (2011).
    [CrossRef] [PubMed]
  6. A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
    [CrossRef]
  7. A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20(7), 7777–7791 (2012).
    [CrossRef] [PubMed]
  8. F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
    [CrossRef] [PubMed]
  9. A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.
  10. A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.
  11. O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.
  12. A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.
  13. O. Rival and K. Mheidly, “Accumulation rate of inter and intra-channel nonlinear distortions in uncompensated 100G PDM-QPSK systems,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.52.
  14. A. Bononi, N. Rossi, and P. Serena, “Nonlinear threshold decrease with distance in 112 Gb/s PDM-QPSK coherent systems,” in Proc. ECOC 2012 (Amsterdam, The Netherlands, 2012). Paper We.2.C.4.
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    [CrossRef]
  18. A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
    [CrossRef]
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  22. E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
    [CrossRef]
  23. Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.
  24. V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.
  25. M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.
  26. E. Grellier, J.-C. Antona, and S. Bigo, “Revisiting the evaluation of non-linear propagation impairments in highly dispersive systems,” in Proc. ECOC 2009 (Vienna, Austria, 2009). Paper 10.4.2.
  27. V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
    [CrossRef]
  28. P. Poggiolini, “The GN model of non-Linear propagation in uncompensated coherent optical systems,” J. Light-wave Technol. (2012), Early Access.
    [CrossRef]

2012 (4)

2011 (2)

E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express19(13), 12781–12788 (2011).
[CrossRef] [PubMed]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

2010 (3)

A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

X. Chen and W. Shieh, “Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express18(18), 19039–19054 (2010).
[CrossRef] [PubMed]

2009 (1)

2008 (4)

M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. S. Pak, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express16(20), 4228–4236, (2008).
[CrossRef] [PubMed]

A. Bononi, P. Serena, and A. Orlandini, “A unified design framework for single-channel dispersion-managed terrestrial systems,” J. Lightwave Technol.26(22), 3617–3631 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique9, 963–984 (2008).
[CrossRef]

Adhikari, S.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Alfiad, M. S.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Antona, J. C.

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique9, 963–984 (2008).
[CrossRef]

Antona, J.-C.

F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
[CrossRef] [PubMed]

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, and S. Bigo, “Revisiting the evaluation of non-linear propagation impairments in highly dispersive systems,” in Proc. ECOC 2009 (Vienna, Austria, 2009). Paper 10.4.2.

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

Y. Frignac, J.-C. Antona, and S. Bigo, “Enhanced analytical engineering rule for fast optimization of dispersion map in 40 Gbit/s-based transmission systems,” in Proc. OFC 2004 (Los Angeles, CA, 2004). Paper TuN3.

Bergano, Neal S.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Bigo, S.

F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
[CrossRef] [PubMed]

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique9, 963–984 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, and S. Bigo, “Revisiting the evaluation of non-linear propagation impairments in highly dispersive systems,” in Proc. ECOC 2009 (Vienna, Austria, 2009). Paper 10.4.2.

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Y. Frignac, J.-C. Antona, and S. Bigo, “Enhanced analytical engineering rule for fast optimization of dispersion map in 40 Gbit/s-based transmission systems,” in Proc. OFC 2004 (Los Angeles, CA, 2004). Paper TuN3.

Binh, L. N.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

Bononi, A.

F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
[CrossRef] [PubMed]

A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20(7), 7777–7791 (2012).
[CrossRef] [PubMed]

E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express19(13), 12781–12788 (2011).
[CrossRef] [PubMed]

A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
[CrossRef]

A. Bononi, P. Serena, and A. Orlandini, “A unified design framework for single-channel dispersion-managed terrestrial systems,” J. Lightwave Technol.26(22), 3617–3631 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.

A. Bononi, N. Rossi, and P. Serena, “Nonlinear threshold decrease with distance in 112 Gb/s PDM-QPSK coherent systems,” in Proc. ECOC 2012 (Amsterdam, The Netherlands, 2012). Paper We.2.C.4.

Bosco, G.

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

Bunge, C.-A.

Cai, J.-X.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Carena, A.

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

Charlet, G.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Chen, X.

Cigliutti, R.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

Curri, V.

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

De Waardt, H.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Forghieri, F.

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

Foursa, D. G.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Frignac, Y.

Y. Frignac, J.-C. Antona, and S. Bigo, “Enhanced analytical engineering rule for fast optimization of dispersion map in 40 Gbit/s-based transmission systems,” in Proc. OFC 2004 (Los Angeles, CA, 2004). Paper TuN3.

Grellier, E.

A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20(7), 7777–7791 (2012).
[CrossRef] [PubMed]

F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
[CrossRef] [PubMed]

E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express19(13), 12781–12788 (2011).
[CrossRef] [PubMed]

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

E. Grellier, J.-C. Antona, and S. Bigo, “Revisiting the evaluation of non-linear propagation impairments in highly dispersive systems,” in Proc. ECOC 2009 (Vienna, Austria, 2009). Paper 10.4.2.

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

Jansen, S. L.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Karagodsky, V.

Khurgin, J.

Koebele, C.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Kuschnerov, M.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Lorcy, L.

Mardoyan, H.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Meiman, Y.

Mheidly, K.

O. Rival and K. Mheidly, “Accumulation rate of inter and intra-channel nonlinear distortions in uncompensated 100G PDM-QPSK systems,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.52.

Mohs, G.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Nazarathy, M.

Noe, R.

Orlandini, A.

Pak, P. S.

Petermann, K.

Petitreaud, S.

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

Pilipetskii, A. N.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Poggiolini, P.

A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of non-Linear propagation effects in uncompensated optical coherent transmission links,” J. Lightwave Technol.30(10), 1524–1539 (2012).
[CrossRef]

P. Poggiolini, “The GN model of non-Linear propagation in uncompensated coherent optical systems,” J. Light-wave Technol. (2012), Early Access.
[CrossRef]

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

Rival, O.

F. Vacondio, O. Rival, C. Simonneau, E. Grellier, A. Bononi, L. Lorcy, J.-C. Antona, and S. Bigo, “On nonlinear distortions of highly dispersive optical coherent systems,” Opt. Express20(2), 1022–1032 (2012).
[CrossRef] [PubMed]

O. Rival and K. Mheidly, “Accumulation rate of inter and intra-channel nonlinear distortions in uncompensated 100G PDM-QPSK systems,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.52.

Rossi, N.

A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20(7), 7777–7791 (2012).
[CrossRef] [PubMed]

A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
[CrossRef]

A. Bononi, N. Rossi, and P. Serena, “Nonlinear threshold decrease with distance in 112 Gb/s PDM-QPSK coherent systems,” in Proc. ECOC 2012 (Amsterdam, The Netherlands, 2012). Paper We.2.C.4.

A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.

A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

Salsi, M.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Serena, P.

A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20(7), 7777–7791 (2012).
[CrossRef] [PubMed]

A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
[CrossRef]

A. Bononi, P. Serena, and A. Orlandini, “A unified design framework for single-channel dispersion-managed terrestrial systems,” J. Lightwave Technol.26(22), 3617–3631 (2008).
[CrossRef]

A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.

A. Bononi, N. Rossi, and P. Serena, “Nonlinear threshold decrease with distance in 112 Gb/s PDM-QPSK coherent systems,” in Proc. ECOC 2012 (Amsterdam, The Netherlands, 2012). Paper We.2.C.4.

A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

Setti, D.

Shieh, W.

Shpantzer, I.

Simonneau, C.

Sinkin, O. V.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Sleiffer, V. A. J. M.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Sperti, D.

A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.

Tapia Taiba, M.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

Tran, P.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

Vacondio, F.

van den Borne, D.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

Weidenfeld, R.

Winter, M.

Wu, T.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

Xu, X.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

Ye, Y.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

Zhang, H.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

Zhang, S.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

Zhou, E.

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

C. R. Physique (1)

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique9, 963–984 (2008).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

P. Poggiolini, A. Carena, V. Curri, G. Bosco, and F. Forghieri, “Analytical modeling of non-linear propagation in uncompensated optical transmission links,” IEEE Photon. Technol. Lett.23(11), 742–744 (2011).
[CrossRef]

V. Curri, P. Poggiolini, G. Bosco, A. Carena, and F. Forghieri, “Performance evaluation of long-haul 100 Gb/s PM-QPSK transmission over different fiber types,” IEEE Photon. Technol. Lett.22(19), 1446–1448 (2010).
[CrossRef]

J. Light-wave Technol. (1)

P. Poggiolini, “The GN model of non-Linear propagation in uncompensated coherent optical systems,” J. Light-wave Technol. (2012), Early Access.
[CrossRef]

J. Lightwave Technol. (3)

Opt. Express (5)

Opt. Fiber Technol. (1)

A. Bononi, P. Serena, and N. Rossi, “Nonlinear signal-noise interactions in dispersion-managed links with various modulation formats,” Opt. Fiber Technol.16(2), 73–85 (2010).
[CrossRef]

SPIE (1)

E. Grellier, J.-C. Antona, A. Bononi, and S. Bigo, “Revisiting binary sequence length requirements to accurately emulate optical transmission systems in highly dispersive regime,” SPIE7136, 713613 (2008).
[CrossRef]

Other (14)

Y. Ye, L. N. Binh, E. Zhou, T. Wu, S. Zhang, and X. Xu, “A simple criterion for performance estimation of 112Gb/s PDM-QPSK WDM system over uncompensated links,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.45.

V. A. J. M. Sleiffer, M. S. Alfiad, D. van den Borne, S. L. Jansen, M. Kuschnerov, S. Adhikari, and H. De Waardt, “A comparison of 43-Gb/s POLMUX-RZ-DPSK and POLMUX-RZ-DQPSK modulation for long-haul transmission systems,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Mo.2.C.4.

M. Salsi, C. Koebele, P. Tran, H. Mardoyan, S. Bigo, and G. Charlet, “80×100-Gbit/s transmission over 9,000km using erbium-doped fibre repeaters only,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper We.7.C.3.

E. Grellier, J.-C. Antona, and S. Bigo, “Revisiting the evaluation of non-linear propagation impairments in highly dispersive systems,” in Proc. ECOC 2009 (Vienna, Austria, 2009). Paper 10.4.2.

G. Bosco, A. Carena, R. Cigliutti, V. Curri, P. Poggiolini, and F. Forghieri, “Performance prediction for WDM PM-QPSK transmission over uncompensated links,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OThO7.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. Tapia Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper P4.07.

A. Bononi, P. Serena, N. Rossi, and D. Sperti, “Which is the dominant nonlinearity in long-haul PDM-QPSK coherent transmissions?,” in Proc. ECOC 2010 (Turin, Italy, 2010). Paper Th10E1.

O. V. Sinkin, J.-X. Cai, D. G. Foursa, H. Zhang, A. N. Pilipetskii, G. Mohs, and Neal S. Bergano, “Scaling of nonlinear impairments in dispersion-uncompensated long-Haul transmission,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper OTu1A.

A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

O. Rival and K. Mheidly, “Accumulation rate of inter and intra-channel nonlinear distortions in uncompensated 100G PDM-QPSK systems,” in Proc. OFC 2012 (Los Angeles, CA, 2012). Paper JW2A.52.

A. Bononi, N. Rossi, and P. Serena, “Nonlinear threshold decrease with distance in 112 Gb/s PDM-QPSK coherent systems,” in Proc. ECOC 2012 (Amsterdam, The Netherlands, 2012). Paper We.2.C.4.

Y. Frignac, J.-C. Antona, and S. Bigo, “Enhanced analytical engineering rule for fast optimization of dispersion map in 40 Gbit/s-based transmission systems,” in Proc. OFC 2004 (Los Angeles, CA, 2004). Paper TuN3.

“Optilux Toolbox,” [Online]. Available http://www.optilux.sourceforge.net

J.-C. Antona, E. Grellier, A. Bononi, S. Petitreaud, and S. Bigo, “Revisiting binary sequence length requirements for the accurate emulation of highly dispersive transmission systems,” in Proc. ECOC 2008 (Brussels, Belgium, 2008). Paper We.1.E.3.

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Figures (8)

Fig. 1
Fig. 1

Block diagrams of DU and DM simulated systems. TX block represents 19 WDM channels spaced by Δf = 50GHz, and NRZ-PDM-QPSK modulated at R = 28 Gbaud. In DM we use a residual dispersion per span of 30 ps/nm and distance-dependent pre-compensation (3). Propagation uses the SSFM with Manakov nonlinear step.

Fig. 2
Fig. 2

1 dB NLT 1 at reference BER0 = 10−3 vs distance for 19-channel homogeneous 28 Gbaud NRZ PDM-QPSK system with Δf = 50 GHz over an Nx50 km SMF link. No PMD. (a) DU; (b) DM with 30 ps/nm RDPS and distance-dependent SLR precompensation (3); Solid lines: ASE noise loading at RX. Dashed lines: distributed ASE.

Fig. 3
Fig. 3

XPolM NLT 1 vs. distance for same 19-channel WDM DU (a) and DM (b) systems as in Fig. 2, for several values of the number of random symbols in the SSFM.

Fig. 4
Fig. 4

Qualitative example of 2-dimensional SNR surface [dB] versus both power P [dBm] and number of spans N (logarithmic scale).

Fig. 5
Fig. 5

SNR versus P at distance N. At 1dB above NLT, ASE has same power as NLI.

Fig. 6
Fig. 6

cNLT/y [dB] (left axis) and x = NA/A (right axis) versus penalty ydB.

Fig. 7
Fig. 7

Set of horizontal cuts of SNR surface S(N,P) at levels S0 = [10.12 : 1 : 15.12] dB, for a DU Nx50km SMF link at 28Gbaud. Parameters: αNL = 3.95 · 10−4 [mW−2], ε = 0.22, F = 13 dB, BRX = 32.5 GHz. Locus of maxima (P0, N0) for varying S0 shown as dash-dotted magenta line with slope −ε/3 ≅ −0.07 dB/dB.

Fig. 8
Fig. 8

Horizontal cut of SNR surface S(N, P) at level S0 = 10.12 dB (BER0=10−3 for the PDM-QPSK receiver used in simulations) for DU Nx50km SMF link at 28 Gbaud, for 2 values of ASE factor β spaced by 3dB. Parameters: αNL = 3.95 · 10−4 [mW−2], ε = 0.22 chosen such that the blue line 1 is the least-mean-squares fit of the simulated “WDM” 1dB NLT (at the same S0 = 10.12 dB) in Fig. 2(a). Other parameters F = [13, 16] dB, BRX = 32.5 GHz. Upper and lower asymptotes PH and PL shown as dashed black lines. Locus of maxima (P0, N0) for varying β (i.e. NLT) shown as dash-dotted magenta line parallel to PH, shifted downwards by 10 Log 3 = 2.38 dB (cfr Eq. (17)). The 1dB NLT 1 (blue, solid) is parallel to NLT, and located c =1.04 dB below (c values at other penalties are found in Fig. 6). Maxima are 10Log(3/2) = 1.76 dB from lower asymptote (green arrows). At N = 1, have PLLT1 and NLTNLT1.

Equations (25)

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

S = P N A + a N L P 3
a N L = α N L N 1 + ε
D pre = D α N 1 2 RDPS
S P = S L S = 1 + a N L P 3 N A
P NLT = ( N A 2 a N L ) 1 3
S NLT = ( 3 3 a N L ( N A 2 ) 2 ) 1 3 P NLT 3 2 N A .
P ^ NLT = 3 2 S 0 N ^ A = 1 3 S 0 a N L
P M = 3 S 0 N ^ A cos ( arcos ( N A / N ^ A ) 3 ) P m = 3 S 0 N ^ A cos ( 2 π arcos ( N A / N ^ A ) 3 ) .
c ( y d B ) P ^ NLT / P ^ y
S 0 = P β N + α N L N 1 + ε P 3
P L = L T 1 N
L T 1 = β S 0
P H = ( S 0 a N L ) 1 / 2
P 0 = ( β 2 α N L N 0 ε ) 1 3 ; S 0 = ( 3 3 α N L N 0 3 + ε ( β 2 ) 2 ) 1 3 P 0 3 2 β N 0 .
P k = ( β 2 α N L N k ε ) 1 3 ; S = P k k + 1 k N A = ( ( k + 1 ) 3 α N L N k 3 + ε ( β k ) 2 ) 1 3
P ^ NLT = N L T 1 N 1 + ε 2
N L T 1 ( 3 S 0 α N L ) 1 2 .
P ^ y = N L T 1 c ( y d B ) N 1 + ε 2
N P ^ NLT ( N ) = N L T 1 N 1 ε 2 .
N 0 = ( ( 3 S 0 ) 3 α N L ( β 2 ) 2 ) 1 3 + ε ( N L T 1 3 2 L T 1 ) 2 3 + ε
P 0 = ( β 2 ) 1 + ε 3 + ε ( 3 S 0 ) ε 3 + ε α N L 1 3 + ε ( N L T 1 ) 2 3 + ε ( 3 2 L T 1 ) 1 + ε 3 + ε .
{ N 0 d B S 0 d B = 3 3 + ε N 0 d B β d B = 2 3 + ε N 0 d B α N L d B = 1 3 + ε { P 0 d B S 0 d B = ε 3 + ε P 0 d B β d B = 1 + ε 3 + ε P 0 d B α N L d B = 1 3 + ε
N 0 A N = ( P H ( N ) P L ( N ) ) 2 3 + ε .
N 0 N = ( P ^ NLT ( N ) 3 2 P L ( N ) ) 2 3 + ε
N 0 , A N 0 , B = ( ( P ^ NLT , A ( N ) P ^ NLT , B ( N ) ) / ( L T 1 , A L T 1 , B ) ) 2 3 + ε

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