Abstract

In this paper, we numerically investigate the impact of polarisation mode dispersion on the efficiency of compensation of nonlinear transmission penalties for systems employing one of more inline phase conjugation devices. We will show that reducing the spacing between phase conjugations allows for significantly improved performance in the presence polarisation mode dispersion or a significant relaxation in the acceptable level of polarization mode dispersion. We show that these results are consistent with previously presented full statistical analysis of nonlinear transmission appropriately adjusted for the reduced section length undergoing compensation.

© 2016 Optical Society of America

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  1. I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.
  2. H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.
  3. K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.
  4. K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.
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    [Crossref]
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    [Crossref]
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  16. K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.
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    [Crossref]
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  23. A. D. Ellis, M. E. McCarthy, M. A. Z. Al-Khateeb, and S. Sygletos, “Capacity limits of systems employing multiple optical phase conjugators,” Opt. Express 23, 20381 (2015).
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  26. G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
    [Crossref]
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2015 (2)

2014 (2)

2012 (3)

2011 (1)

2010 (2)

X. Chen and W. Shieh, “Closed form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express 16, 19039 (2010).
[Crossref]

A. D. Ellis and D. Cotter, “Approaching the non-linear Shannon limit,” J. Lightwave Technol. 28, 423 (2010).
[Crossref]

2008 (1)

2006 (1)

2002 (1)

G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
[Crossref]

2000 (1)

J. P. Gordon and H. Kogelnik, “PMD fundamentals: Polarization mode dispersion in optical fibers,” Proc. Natl. Acad. Sci. U. S. A 97(9), 4541–4550 (2000).
[Crossref] [PubMed]

1995 (1)

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

1994 (1)

Al Khateeb, M. A. Z.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Al-Khateeb, M. A. Z.

Alvarado, A.

Bayvel, P.

G. Liga, T. Xu, A. Alvarado, R. I. Killey, and P. Bayvel, “On the performance of multichannel digital backpropagation in high-capacity long-haul optical transmission,” Opt. Express 22, 30053 (2014).
[Crossref]

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Biondini, G.

G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
[Crossref]

Bosco, G.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

Bottril, K.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Carena, A.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

Chandrasekhar, S.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Chen, X.

G. Gao, X. Chen, and W. Shieh, “Influence of PMD on fiber nonlinearity compensation using digital back propagation,” Opt. Express 20, 14406 (2012).
[Crossref] [PubMed]

X. Chen and W. Shieh, “Closed form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express 16, 19039 (2010).
[Crossref]

Corcoran, B.

Cotter, D.

Curri, V.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

Da Ros, F

Dinu, M.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Doran, N. J.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Du, L. B.

Ellis, A. D.

A. D. Ellis, M. E. McCarthy, M. A. Z. Al-Khateeb, and S. Sygletos, “Capacity limits of systems employing multiple optical phase conjugators,” Opt. Express 23, 20381 (2015).
[Crossref] [PubMed]

D. Rafique and A. D. Ellis, “Impact of signal-ASE four-wave mixing on the effectiveness of digital back-propagation in 112 Gb/s PM-QPSK systems,” Opt. Express 19, 3449 (2011).
[Crossref] [PubMed]

A. D. Ellis and D. Cotter, “Approaching the non-linear Shannon limit,” J. Lightwave Technol. 28, 423 (2010).
[Crossref]

A. D. Ellis, S. T. Le, D. Lavery, and S.K. Turitsyn, “The impact of phase conjugation on the nonlinear-Shannon Limit,” in Proceedings of Summer Topicals Meeting Series (SUM) (2015), paper TuF3.2.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Epworth, R. E.

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

Essiambre, RJ

Fabbri, S.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Fischer, J. K.

Foo, B.

Forghieri, F.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

Gao, G.

Garthe, D.

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

Giacoumidis, E.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Gnauck, A. H.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Gordienko, V.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Gordon, J. P.

J. P. Gordon and H. Kogelnik, “PMD fundamentals: Polarization mode dispersion in optical fibers,” Proc. Natl. Acad. Sci. U. S. A 97(9), 4541–4550 (2000).
[Crossref] [PubMed]

L. F. Mollenauer and J. P. Gordon, “Birefringence mediated timing jitter in soliton transmission,” Opt. Lett. 19 (6), 375 (1994).
[Crossref] [PubMed]

Goroshko, K.

K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.

Harper, P.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Hu, H.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Inoue, T.

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

Ip, E. M.

Iqbal, M. A.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Jau., Tang

Jazayerifar, M.

Jiang, Y.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

Jopson, R. M.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Kahn, J. M.

Kanesan, T.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Kath, W. L.

G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
[Crossref]

Killey, R. I.

Kogelnik, H.

J. P. Gordon and H. Kogelnik, “PMD fundamentals: Polarization mode dispersion in optical fibers,” Proc. Natl. Acad. Sci. U. S. A 97(9), 4541–4550 (2000).
[Crossref] [PubMed]

Lavery, D.

A. D. Ellis, S. T. Le, D. Lavery, and S.K. Turitsyn, “The impact of phase conjugation on the nonlinear-Shannon Limit,” in Proceedings of Summer Topicals Meeting Series (SUM) (2015), paper TuF3.2.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Le, S. T.

A. D. Ellis, S. T. Le, D. Lavery, and S.K. Turitsyn, “The impact of phase conjugation on the nonlinear-Shannon Limit,” in Proceedings of Summer Topicals Meeting Series (SUM) (2015), paper TuF3.2.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Lee, W. S.

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

Liga, G.

G. Liga, T. Xu, A. Alvarado, R. I. Killey, and P. Bayvel, “On the performance of multichannel digital backpropagation in high-capacity long-haul optical transmission,” Opt. Express 22, 30053 (2014).
[Crossref]

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Liu, X.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Louchet, H.

K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.

Lowery, A. J.

Maher, R.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

McCarthy, M. E.

A. D. Ellis, M. E. McCarthy, M. A. Z. Al-Khateeb, and S. Sygletos, “Capacity limits of systems employing multiple optical phase conjugators,” Opt. Express 23, 20381 (2015).
[Crossref] [PubMed]

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

McKinstrie, C. J.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Mecozzi, A

Menyuk, C. R.

G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
[Crossref]

Mollenauer, L. F.

Montoliu, M.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Morshed, M.

Namiki, S.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

NguyenTan, H.

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

Nlle, M.

Ozolins, O.

K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.

Parmigiani, F.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Patel, B. L.

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

Pelusi, M.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

Pelusi, M. D.

M. Morshed, L. B. Du, B. Foo, M. D. Pelusi, B. Corcoran, and A. J. Lowery, “Experimental demonstration of dual polarization CO-OFDM using mid-span spectral inversion for nonlinearity compensation,” Opt. Express 22, 10455 (2014).
[Crossref] [PubMed]

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

Perentos, A.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Petermann, K.

Petropoulos, P.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Peucheret, C.

Phillips, I. D.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Poggiolini, P.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

P. Poggiolini, “Modeling of non-linear propagation in uncompensated coherent systems,” in Optical Fiber Communication Conference (2013), paper OTh3G1.l.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

Rafique, D.

Randel, S.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Richardson, D. J.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Richter, A.

K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.

Richter, T.

Rosa, P.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Saavedra. M., G.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Sackey, I.

Saunders, R. A.

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

Schubert, C.

Shieh, W.

G. Gao, X. Chen, and W. Shieh, “Influence of PMD on fiber nonlinearity compensation using digital back propagation,” Opt. Express 20, 14406 (2012).
[Crossref] [PubMed]

X. Chen and W. Shieh, “Closed form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems,” Opt. Express 16, 19039 (2010).
[Crossref]

Solis-Trapala, K.

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

Stephens, M. F. C.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Suda, S.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

Sun, Y.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Sygletos, S.

A. D. Ellis, M. E. McCarthy, M. A. Z. Al-Khateeb, and S. Sygletos, “Capacity limits of systems employing multiple optical phase conjugators,” Opt. Express 23, 20381 (2015).
[Crossref] [PubMed]

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Taiba, M. T.

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

Tan, H.N.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

Tan, M.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

Tanimura, T.

Turitsyn, S. K.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

Turitsyn, S.K.

A. D. Ellis, S. T. Le, D. Lavery, and S.K. Turitsyn, “The impact of phase conjugation on the nonlinear-Shannon Limit,” in Proceedings of Summer Topicals Meeting Series (SUM) (2015), paper TuF3.2.

Xie, C.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

Xu, T.

Yoshima, S.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

Electron. Lett. (1)

R. A. Saunders, D. Garthe, B. L. Patel, W. S. Lee, and R. E. Epworth, “Observation of parametric noise amplification owing to modulation instability in anomalous dispersion regime,” Electron. Lett. 31(13), 1088–1090(1995).
[Crossref]

IEEE Photonics Technol. Lett. (1)

G. Biondini, W. L. Kath, and C. R. Menyuk, “Importance sampling for polarization-mode dispersion,” IEEE Photonics Technol. Lett. 14 (2), 310–312 (2002).
[Crossref]

J. Lightwave Technol. (5)

Opt. Express (7)

Opt. Lett. (1)

Proc. Natl. Acad. Sci. U. S. A (1)

J. P. Gordon and H. Kogelnik, “PMD fundamentals: Polarization mode dispersion in optical fibers,” Proc. Natl. Acad. Sci. U. S. A 97(9), 4541–4550 (2000).
[Crossref] [PubMed]

Other (11)

A. Carena, G. Bosco, V. Curri, P. Poggiolini, M. T. Taiba, and F. Forghieri, “Statistical characterization of PM-QPSK signals after propagation in uncompensated fiber links,” in European Conference on Optical Communication (2010), paper P4.07.

P. Poggiolini, “Modeling of non-linear propagation in uncompensated coherent systems,” in Optical Fiber Communication Conference (2013), paper OTh3G1.l.

P. Poggiolini, A. Carena, Y. Jiang, G. Bosco, V. Curri, and F. Forghieri, Impact of low-OSNR operation on the performance of advanced coherent optical transmission systems,” in European Conference on Optical Communication (2014), paper Mo.4.3.2.

A. D. Ellis, S. T. Le, D. Lavery, and S.K. Turitsyn, “The impact of phase conjugation on the nonlinear-Shannon Limit,” in Proceedings of Summer Topicals Meeting Series (SUM) (2015), paper TuF3.2.

K. Goroshko, O. Ozolins, H. Louchet, and A. Richter, “PMD-induced penalty on digital back propagation and its mitigation,” private communication.

I. D. Phillips, M. Tan, M. F. C. Stephens, M. E. McCarthy, E. Giacoumidis, S. Sygletos, P. Rosa, S. Fabbri, S. T. Le, T. Kanesan, S. K. Turitsyn, N. J. Doran, P. Harper, and A. D. Ellis, “Exceeding the nonlinear-Shannon Limit using Raman laser based amplification and optical phase conjugation,” in Optical Fiber Communication Conference (2014), paper M3C.1.

H. Hu, R. M. Jopson, A. H. Gnauck, M. Dinu, S. Chandrasekhar, X. Liu, C. Xie, M. Montoliu, S. Randel, and C. J. McKinstrie, “Fibre nonlinearity compensation of an 8-channel WDM PDM-QPSK signal using multiple phase conjugators,” in Optical Fiber Communication Conference (2014), paper M3C.2.

K. Solis-Trapala, M. D. Pelusi, H. NguyenTan, T. Inoue, and S. Namiki, “Transmission optimized impairment mitigation by 12 stage phase conjugation of WDM 24×48 Gb/s DP-QPSK signals,” in Optical Fiber Communication Conference (2015), paper Th3C.2.

K. Solis-Trapala, M. Pelusi, H.N. Tan, T. Inoue, S. Suda, and S. Namiki, “Doubled transmission reach for DP-64QAM signal over field-deployed legacy fiber systems enabled by MSSI,” in European Conference on Optical Communication (2015), paper Mo.3.6.2.

S. Yoshima, Y. Sun, K. Bottril, F. Parmigiani, P. Petropoulos, and D. J. Richardson, “Nonlinearity mitigation through optical phase conjugation in a deployed fibre link with full bandwidth utilization,” in European Conference on Optical Communication (2015), paper We2.6.3.

A. D. Ellis, M. Tan, M. A. Iqbal, M. A. Z. Al Khateeb, V. Gordienko, G. Saavedra. M., S. Fabbri, M. F. C. Stephens, M. E. McCarthy, A. Perentos, I. D. Phillips, D. Lavery, G. Liga, R. Maher, P. Harper, N. J. Doran, S. K. Turitsyn, S. Sygletos, and P. Bayvel, “4 Tbit/s transmission reach enhancement using ten 400 Gbit/s superchannels and polarization insensitive dual band optical phase conjugation,” invited submission to J. Lightwave Technol. (to be published).

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Figures (4)

Fig. 1
Fig. 1 Simulation set-up consisting of 5 Nyquist shaped 28 Gbaud DP-QPSK channels on 33 GHz grid transmitted over 32x80km spans with regularly spaced inline phase conjugation. The iPC spacing was either 1,2,4,8 or 16 spans resulting in 31,15,7,3,1 iPCs.
Fig. 2
Fig. 2 Plot of performance, Q d B 2, for uniformly spaced ideal iPCs with respect to average PMD (open symbols for 0.04,0.1,0.25,0.5,0.75,1ps/√km as detailed in the legend) and increasing launch power (0.5 dB resolution) per channel for 32x80km transmission and for reference transmission without iPC (yellow stars). Thin solid lines represent predictions of the analytical model (equations 2 and 3), whilst thick solid lines correspond to arbitrary fitting of results using ηp as the fitting parameter. Graph (a) mid-link iPC performance overlaid with both the analytical model and arbitrary fit (b) performance for 15 iPCs with analytical model and (c) shows 15 iPCs with arbitrary fitting parameter ηp).
Fig. 3
Fig. 3 Graph (dots) shows maximum improvement of Q d B 2 with respect to PMD compared to transmission with digital dispersion compensation only. The solid lines show the fit to full statistical model [13]
Fig. 4
Fig. 4 Nonlinear compensation efficiency as a function of normalised PMD per segment; Solid line - analytically predicted compensation efficiency. Symbols differentiated by PMD coefficient (see legend for details) observed compensation efficiency calculated from curve fits of Eq. 1 to simulated nonlinear threshold curves (eg Fig. 2).

Equations (2)

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

S N R N L = P s N P N + η W D M ( 1 η P ) P S 3 + 3 f S N P n P S 2 η W D M = 2 ( 8 9 ) 2 γ 2 L s p a n π | β 2 | log N B S 2 2 f W
η P = s = 1 N N i P C + 1 3 ( E i ( 3 s ζ B s 2 ) E i ( 3 s ζ f w 2 ) ) + ( E i ( 7 s ζ B s 2 ) E i ( 7 s ζ f w 2 ) ) 4 N L s p a n log B s 2 f w 2 ζ = π 3 L s p a n σ p 2 64

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