Abstract

Achievable information rates (AIRs) of wideband optical communication systems using a 40  nm(5  THz) erbium-doped fiber amplifier and 100  nm(12.5  THz) distributed Raman amplification are estimated based on a first-order perturbation analysis. The AIRs of each individual channel have been evaluated for DP-64QAM, DP-256QAM, and DP-1024QAM modulation formats. The impact of full-field nonlinear compensation (FF-NLC) and probabilistically shaped constellations using a Maxwell–Boltzmann distribution were studied and compared to electronic dispersion compensation. It has been found that a probabilistically shaped DP-1024QAM constellation, combined with FF-NLC, yields achievable information rates of 75  Tbit/s for the EDFA scheme and 223  Tbit/s for the Raman amplification scheme over a 2000 km standard single-mode fiber transmission.

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References

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[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

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S. Popov, S. Sergeyev, and A. T. Friberg, J. Opt. A 6, S72 (2004).
[Crossref]

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S. R. Chinn, Electron. Lett. 33, 607 (1997).
[Crossref]

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F. R. Kschischang and S. Pasupathy, IEEE Trans. Inf. Theory 39, 913 (1993).
[Crossref]

1984 (1)

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Agrawal, G. P.

G. P. Agrawal, Fiber-Optic Communication Systems, 4th ed. (Wiley, 2010).

Al-Khateeb, M. A. Z.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Alvarado, A.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

T. Fehenberger, A. Alvarado, G. Böcherer, and N. Hanik, J. Lightwave Technol. 34, 5063 (2016).
[Crossref]

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Batshon, H. G.

Bayvel, P.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Böcherer, G.

Bosco, G.

Cai, J.-X.

Carena, A.

Chinn, S. R.

S. R. Chinn, Electron. Lett. 33, 607 (1997).
[Crossref]

Curri, V.

Dar, R.

Ellis, A. D.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Essiambre, R.-J.

R.-J. Essiambre and R. W. Tkach, Proc. IEEE 100, 1035 (2012).
[Crossref]

Feder, M.

Fehenberger, T.

Forestieri, E.

Forghieri, F.

Forney, G. D.

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Foursa, D. G.

Friberg, A. T.

G. Jacobsen, T. Xu, S. Popov, J. Li, A. T. Friberg, and Y. Zhang, Opt. Express 20, 8862 (2012).
[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

S. Popov, S. Sergeyev, and A. T. Friberg, J. Opt. A 6, S72 (2004).
[Crossref]

Galdino, L.

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Gallager, R.

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Hanik, N.

Jacobsen, G.

G. Jacobsen, T. Xu, S. Popov, J. Li, A. T. Friberg, and Y. Zhang, Opt. Express 20, 8862 (2012).
[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

Jiang, Y.

Johannisson, P.

P. Johannisson and M. Karlsson, J. Lightwave Technol. 31, 1273 (2013).
[Crossref]

Karlsson, M.

P. Johannisson and M. Karlsson, J. Lightwave Technol. 31, 1273 (2013).
[Crossref]

Killey, R. I.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Kschischang, F. R.

F. R. Kschischang and S. Pasupathy, IEEE Trans. Inf. Theory 39, 913 (1993).
[Crossref]

Lang, G. R.

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Lavery, D.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Le, S. T.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Li, J.

Lidón, M.

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

Liga, G.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

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G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Maher, R.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

Mazurczyk, M. V.

Mecozzi, A.

Paskov, M.

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Pasupathy, S.

F. R. Kschischang and S. Pasupathy, IEEE Trans. Inf. Theory 39, 913 (1993).
[Crossref]

Pilipetskii, A.

Poggiolini, P.

Popov, S.

G. Jacobsen, T. Xu, S. Popov, J. Li, A. T. Friberg, and Y. Zhang, Opt. Express 20, 8862 (2012).
[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

S. Popov, S. Sergeyev, and A. T. Friberg, J. Opt. A 6, S72 (2004).
[Crossref]

Prati, G.

Qureshi, S. U.

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

Saavedra, G.

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Secondini, M.

Semrau, D.

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Sergeyev, S.

S. Popov, S. Sergeyev, and A. T. Friberg, J. Opt. A 6, S72 (2004).
[Crossref]

Shevchenko, N. A.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

Shtaif, M.

Sinkin, O. V.

Sun, Y.

Tkach, R. W.

R.-J. Essiambre and R. W. Tkach, Proc. IEEE 100, 1035 (2012).
[Crossref]

Turitsyn, S. K.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Xu, T.

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

G. Jacobsen, T. Xu, S. Popov, J. Li, A. T. Friberg, and Y. Zhang, Opt. Express 20, 8862 (2012).
[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

Zhang, H.

Zhang, Y.

G. Jacobsen, T. Xu, S. Popov, J. Li, A. T. Friberg, and Y. Zhang, Opt. Express 20, 8862 (2012).
[Crossref]

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

Electron. Lett. (1)

S. R. Chinn, Electron. Lett. 33, 607 (1997).
[Crossref]

IEEE J. Sel. Areas Commun. (1)

G. D. Forney, R. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, IEEE J. Sel. Areas Commun. 2, 632 (1984).
[Crossref]

IEEE Trans. Inf. Theory (1)

F. R. Kschischang and S. Pasupathy, IEEE Trans. Inf. Theory 39, 913 (1993).
[Crossref]

J. Lightwave Technol. (6)

J. Opt. A (1)

S. Popov, S. Sergeyev, and A. T. Friberg, J. Opt. A 6, S72 (2004).
[Crossref]

J. Opt. Commun. (1)

G. Jacobsen, M. Lidón, T. Xu, S. Popov, A. T. Friberg, and Y. Zhang, J. Opt. Commun. 32, 257 (2011).

Opt. Express (4)

Philos. Trans. R. Soc. A (1)

P. Bayvel, R. Maher, T. Xu, G. Liga, N. A. Shevchenko, D. Lavery, A. Alvarado, and R. I. Killey, Philos. Trans. R. Soc. A 374, 20140440 (2016).
[Crossref]

Proc. IEEE (1)

R.-J. Essiambre and R. W. Tkach, Proc. IEEE 100, 1035 (2012).
[Crossref]

Other (3)

G. P. Agrawal, Fiber-Optic Communication Systems, 4th ed. (Wiley, 2010).

N. A. Shevchenko, T. Xu, D. Semrau, G. Saavedra, G. Liga, M. Paskov, L. Galdino, A. Alvarado, R. I. Killey, and P. Bayvel, in IEEE European Conference on Optical Communication, Düsseldorf, Germany, 2016.

A. D. Ellis, S. T. Le, M. A. Z. Al-Khateeb, S. K. Turitsyn, G. Liga, D. Lavery, T. Xu, and P. Bayvel, in IEEE Summer Topical Meeting on Nonlinear Optical Signal Processing, Nassau, Bahamas, 2015, Vol. 2, pp. 209–210.

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Figures (3)

Fig. 1.
Fig. 1. NL distortion coefficients and SNR values at 2000    km ( 25 × 80    km ) . (a) EDFA system and (b) Raman-amplified system.
Fig. 2.
Fig. 2. Mutual information for each channel at 2000    km ( 25 × 80    km ) . (a) EDFA system and (b) Raman-amplified system.
Fig. 3.
Fig. 3. AIRs of optical transmission systems. (a) EDFA system and (b) Raman-amplified system.

Tables (1)

Tables Icon

Table 1. System Parameter Values

Equations (6)

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

SNR = P P n + P s s + P s n ,
η ( k ) = 1 R s    ( 2 k 1 2 ) · R s ( 2 k + 1 2 ) · R s S ( f ) d f ,
S ( f ) = 16 γ 2 27 R S 2 B 2 B 2 ( f 1 + f 2 f B ) ρ ( f 1 , f 2 , f ) χ ( f 1 , f 2 , f ) d f 1 d f 2 ,
χ ( f 1 , f 2 , f 3 ) = sin 2 { 2 N S π 2 ( f 1 f ) ( f 2 f ) [ β 2 + π β 3 ( f 1 + f 2 ) ] · L S } sin 2 { 2 π 2 ( f 1 f ) ( f 2 f ) [ β 2 + π β 3 ( f 1 + f 2 ) ] · L S } .
ρ EDFA ( f 1 , f 2 , f ) = | 1 e α L S e j 4 π 2 ( f 1 f ) ( f 2 f ) [ β 2 + π β 3 ( f 1 + f 2 ) ] · L S α j 4 π 2 ( f 1 f ) ( f 2 f ) [ β 2 + π β 3 ( f 1 + f 2 ) ] | 2 ,
ρ Raman ( f 1 , f 2 , f ) = | e C R P P 0 α 0 L S e α z e C R P P 0 α p e α p z e j 4 π 2 ( f 1 f ) ( f 2 f ) [ β 2 + π β 3 ( f 1 + f 2 ) ] · z d z | 2 ,

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