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. Express 16(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. Express 18(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. Express 19(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. Express 20(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. Express 20(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.
  15. J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique 9, 963–984 (2008).
    [Crossref]
  16. 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.
  17. 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]
  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]
  19. M. Winter, C.-A. Bunge, D. Setti, and K. Petermann, “A statistical treatment of cross-polarization modulation in DWDM systems,” J. Lightwave Technol. 27(17), 3739–3751 (2009).
    [Crossref]
  20. “Optilux Toolbox,” [Online]. Available http://www.optilux.sourceforge.net
  21. 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.
  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,” SPIE 7136, 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. Express 19(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. Express 18(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. Express 16(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,” SPIE 7136, 713613 (2008).
[Crossref]

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique 9, 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. Physique 9, 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. Express 20(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,” SPIE 7136, 713613 (2008).
[Crossref]

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.

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.

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.

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. Express 20(2), 1022–1032 (2012).
[Crossref] [PubMed]

J. C. Antona and S. Bigo, “Physical design and performance estimation of heterogeneous optical transmission systems,” C. R. Physique 9, 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,” SPIE 7136, 713613 (2008).
[Crossref]

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.

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.

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.

A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling nonlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express 20(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. Express 20(2), 1022–1032 (2012).
[Crossref] [PubMed]

E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19(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,” SPIE 7136, 713613 (2008).
[Crossref]

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

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.

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]

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.

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]

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.

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. Express 20(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. Express 20(2), 1022–1032 (2012).
[Crossref] [PubMed]

E. Grellier and A. Bononi, “Quality parameter for coherent transmissions with Gaussian-distributed nonlinear noise,” Opt. Express 19(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,” SPIE 7136, 713613 (2008).
[Crossref]

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.

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.

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.

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

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]

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.

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. Express 20(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. Express 20(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, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

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.

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. Express 20(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, “Transmission limitations due to fiber nonlinearity,” in Proc. OFC 2011 (Los Angeles, CA, 2011). Paper OWO7.

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.

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. Physique 9, 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,” SPIE 7136, 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.

“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.

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.

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.

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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.

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Fig. 2
Fig. 2

1 dB NLT P̂1 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.

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Fig. 3
Fig. 3

XPolM NLT P̂1 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.

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Fig. 4
Fig. 4

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

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Fig. 5
Fig. 5

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

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Fig. 6
Fig. 6

c ≜ P̂NLT/P̂y [dB] (left axis) and x = NA/N̂A (right axis) versus penalty ydB.

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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.

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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 P̂1 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. P̂NLT) shown as dash-dotted magenta line parallel to PH, shifted downwards by 10 Log 3 = 2.38   dB (cfr Eq. (17)). The 1dB NLT P̂1 (blue, solid) is parallel to P̂NLT, 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 PL ≡ LT1 and P̂NLT ≡ NLT1.

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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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