Abstract

We develop a theoretical expression to predict the ultimate back-to-back performance of coherent optical orthogonal frequency-division multiplexing (CO-OFDM) systems that rely on four-wave mixing to achieve phase conjugation for mid-span spectral inversion. Our analysis shows that two different two-stage nonlinear processes produce strong noise-like products in the conjugated signal band. We verify our theoretical results with simulations and experiments; these both show excellent agreement with the analytical theory. We identify the optimal design parameters and predict that optical phase conjugation of 10 THz wide orthogonal frequency-division multiplexing signals could be possible, given appropriate dispersion management of the nonlinear element. We also experimentally demonstrate the benefit of MSSI in an 800 km transmission of CO-OFDM.

© 2012 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. S. L. Jansen, I. Morita, T. C. M. Schenk, H. Tanaka, "121.9-Gb/s PDM-OFDM transmission with 2-b/s/Hz spectral efficiency over 1000 km of SSMF," J. Lightw. Technol. 27, 177-188 (2009).
  2. H. Takahashi, A. Al Amin, S. L. Jansen, I. Morita, H. Tanaka, "DWDM transmission with 7.0-bit/s/Hz spectral efficiency using 8$\,\times\,$65.1-Gbit/s coherent PDM-OFDM signals," Proc. Opt. Fiber Commun. Conf. (2009) pp. 1-3.
  3. B. J. C. Schmidt, Z. Zan, L. B. Du, A. J. Lowery, "120 Gbit/s over 500-km using single-band polarization-multiplexed self-coherent optical OFDM," J. Lightw. Technol. 28, 328-335 (2010).
  4. Q. Yang, Y. Tang, Y. Ma, W. Shieh, "Experimental demonstration and numerical simulation of 107-Gb/s high spectral efficiency coherent optical OFDM," J. Lightw. Technol. 27, 168-176 (2009).
  5. Y. Ma, Q. Yang, Y. Tang, S. Chen, W. Shieh, "1-Tb/s single-channel coherent optical OFDM transmission with orthogonal-band multiplexing and subwavelength bandwidth access," J. Lightw. Technol. 28, 308-315 (2010).
  6. A. J. Lowery, L. B. Du, J. Armstrong, "Performance of optical OFDM in ultralong-haul WDM lightwave systems," J. Lightw. Technol. 25, 131-138 (2007).
  7. R.-J. Essiambre, G. J. Foschini, G. Kramer, P. J. Winzer, "Capacity limits of information transport in fiber-optic networks," Phys. Rev. Lett. 101, 163901-1-163901-4 (2008).
  8. A. D. Ellis, J. Zhao, D. Cotter, "Approaching the non-linear Shannon limit," J. Lightw. Technol. 28, 423-433 (2010).
  9. D. Rafique, 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. Exp. 19, 3449-3454 (2011).
  10. L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).
  11. E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital backpropagation," J. Lightw. Technol. 26, 3416-3425 (2008).
  12. X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).
  13. E. Ip, "Nonlinear compensation using backpropagation for polarization-multiplexed transmission," J. Lightw. Technol. 28, 939-951 (2010).
  14. A. J. Lowery, "Fiber nonlinearity mitigation in optical links that use OFDM for dispersion compensation," IEEE Photon. Technol. Lett. 19, 1556-1558 (2007).
  15. K. Kikuchi, M. Fukase, S.-Y. Kim, "Electronic post-compensation for nonlinear phase noise in a 1000-km 20-Gbit/s optical QPSK transmission system using the homodyne receiver with digital signal processing," Proc. Opt. Fiber Commun. Conf./Nat. Fiber Opt. Eng. Conf. (2007) pp. 1-3.
  16. L. B. Du, A. J. Lowery, "Practical XPM compensation method for coherent optical OFDM systems," IEEE Photon. Technol. Lett. 22, 320-322 (2010).
  17. L. B. Du, A. Lowery, "Pilot-based cross-phase modulation compensation for coherent optical orthogonal frequency division multiplexing long-haul optical communications systems," Opt. Lett. 36, 1647-1649 (2011).
  18. B. Inan, S. Randel, S. L. Jansen, A. Lobato, S. Adhikari, N. Hanik, "Pilot-tone-based nonlinearity compensation for optical OFDM systems," Proc. 36th Eur. Conf. Exhib. Opt. Commun. (2010) pp. 1-3.
  19. S. L. Jansen, D. van den Borne, B. Spinnler, S. Calabro, H. Suche, P. M. Krummrich, W. Sohler, G.-D. Khoe, H. de Waardt, "Optical phase conjugation for ultra long-haul phase-shift-keyed transmission," J. Lightw. Technol. 24, 54-64 (2006).
  20. P. Minzioni, F. Alberti, A. Schiffini, "Techniques for nonlinearity cancellation into embedded links by optical phase conjugation," J. Lightw. Technol. 23, 2364-2370 (2005).
  21. X. Liu, Y. Qiao, Y. Ji, "Reduction of the fiber nonlinearity impairment using optical phase conjugation in 40 Gb/s CO-OFDM systems," Opt. Commun. 283, 2749-2753 (2010).
  22. L. B. Du, M. M. Morshed, A. J. Lowery, "604-Gb/s coherent optical OFDM over 800 km of S-SMF with mid-span spectral inversion," OptoElectron. Commun. Conf. (2012) pp. 41-42.
  23. L. B. Du, M. M. Morshed, A. J. Lowery, "Fiber nonlinearity compensation for OFDM super-channels using optical phase conjugation," Opt. Exp. 20, 19921-19927 (2012).
  24. V. Pechenkin, I. J. Fair, "Analysis of four-wave mixing suppression in fiber-optic OFDM transmission systems with an optical phase conjugation module," IEEE/OSA J. Opt. Commun. Netw. 2, 701-710 (2010).
  25. A. J. Lowery, S. Wang, M. Premaratne, "Calculation of power limit due to fiber nonlinearity in optical OFDM systems," Opt. Exp. 15, 13282-13287 (2007).
  26. W. Shieh, C. Athaudage, "Coherent optical orthogonal frequency division multiplexing," Electron. Lett. 42, 587-588 (2006).
  27. A. J. Lowery, J. Armstrong, "Orthogonal-frequency-division multiplexing for dispersion compensation of long-haul optical systems," Opt. Exp. 14, 2079-2084 (2006).

2012 (1)

L. B. Du, M. M. Morshed, A. J. Lowery, "Fiber nonlinearity compensation for OFDM super-channels using optical phase conjugation," Opt. Exp. 20, 19921-19927 (2012).

2011 (2)

D. Rafique, 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. Exp. 19, 3449-3454 (2011).

L. B. Du, A. Lowery, "Pilot-based cross-phase modulation compensation for coherent optical orthogonal frequency division multiplexing long-haul optical communications systems," Opt. Lett. 36, 1647-1649 (2011).

2010 (8)

A. D. Ellis, J. Zhao, D. Cotter, "Approaching the non-linear Shannon limit," J. Lightw. Technol. 28, 423-433 (2010).

L. B. Du, A. J. Lowery, "Practical XPM compensation method for coherent optical OFDM systems," IEEE Photon. Technol. Lett. 22, 320-322 (2010).

E. Ip, "Nonlinear compensation using backpropagation for polarization-multiplexed transmission," J. Lightw. Technol. 28, 939-951 (2010).

L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).

B. J. C. Schmidt, Z. Zan, L. B. Du, A. J. Lowery, "120 Gbit/s over 500-km using single-band polarization-multiplexed self-coherent optical OFDM," J. Lightw. Technol. 28, 328-335 (2010).

Y. Ma, Q. Yang, Y. Tang, S. Chen, W. Shieh, "1-Tb/s single-channel coherent optical OFDM transmission with orthogonal-band multiplexing and subwavelength bandwidth access," J. Lightw. Technol. 28, 308-315 (2010).

V. Pechenkin, I. J. Fair, "Analysis of four-wave mixing suppression in fiber-optic OFDM transmission systems with an optical phase conjugation module," IEEE/OSA J. Opt. Commun. Netw. 2, 701-710 (2010).

X. Liu, Y. Qiao, Y. Ji, "Reduction of the fiber nonlinearity impairment using optical phase conjugation in 40 Gb/s CO-OFDM systems," Opt. Commun. 283, 2749-2753 (2010).

2009 (2)

Q. Yang, Y. Tang, Y. Ma, W. Shieh, "Experimental demonstration and numerical simulation of 107-Gb/s high spectral efficiency coherent optical OFDM," J. Lightw. Technol. 27, 168-176 (2009).

S. L. Jansen, I. Morita, T. C. M. Schenk, H. Tanaka, "121.9-Gb/s PDM-OFDM transmission with 2-b/s/Hz spectral efficiency over 1000 km of SSMF," J. Lightw. Technol. 27, 177-188 (2009).

2008 (3)

R.-J. Essiambre, G. J. Foschini, G. Kramer, P. J. Winzer, "Capacity limits of information transport in fiber-optic networks," Phys. Rev. Lett. 101, 163901-1-163901-4 (2008).

E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital backpropagation," J. Lightw. Technol. 26, 3416-3425 (2008).

X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).

2007 (3)

A. J. Lowery, L. B. Du, J. Armstrong, "Performance of optical OFDM in ultralong-haul WDM lightwave systems," J. Lightw. Technol. 25, 131-138 (2007).

A. J. Lowery, "Fiber nonlinearity mitigation in optical links that use OFDM for dispersion compensation," IEEE Photon. Technol. Lett. 19, 1556-1558 (2007).

A. J. Lowery, S. Wang, M. Premaratne, "Calculation of power limit due to fiber nonlinearity in optical OFDM systems," Opt. Exp. 15, 13282-13287 (2007).

2006 (3)

W. Shieh, C. Athaudage, "Coherent optical orthogonal frequency division multiplexing," Electron. Lett. 42, 587-588 (2006).

A. J. Lowery, J. Armstrong, "Orthogonal-frequency-division multiplexing for dispersion compensation of long-haul optical systems," Opt. Exp. 14, 2079-2084 (2006).

S. L. Jansen, D. van den Borne, B. Spinnler, S. Calabro, H. Suche, P. M. Krummrich, W. Sohler, G.-D. Khoe, H. de Waardt, "Optical phase conjugation for ultra long-haul phase-shift-keyed transmission," J. Lightw. Technol. 24, 54-64 (2006).

2005 (1)

P. Minzioni, F. Alberti, A. Schiffini, "Techniques for nonlinearity cancellation into embedded links by optical phase conjugation," J. Lightw. Technol. 23, 2364-2370 (2005).

Electron. Lett. (1)

W. Shieh, C. Athaudage, "Coherent optical orthogonal frequency division multiplexing," Electron. Lett. 42, 587-588 (2006).

IEEE Photon. Technol. Lett. (1)

L. B. Du, A. J. Lowery, "Practical XPM compensation method for coherent optical OFDM systems," IEEE Photon. Technol. Lett. 22, 320-322 (2010).

IEEE Photon. Technol. Lett. (1)

A. J. Lowery, "Fiber nonlinearity mitigation in optical links that use OFDM for dispersion compensation," IEEE Photon. Technol. Lett. 19, 1556-1558 (2007).

IEEE/OSA J. Opt. Commun. Netw. (1)

V. Pechenkin, I. J. Fair, "Analysis of four-wave mixing suppression in fiber-optic OFDM transmission systems with an optical phase conjugation module," IEEE/OSA J. Opt. Commun. Netw. 2, 701-710 (2010).

J. Lightw. Technol. (2)

Q. Yang, Y. Tang, Y. Ma, W. Shieh, "Experimental demonstration and numerical simulation of 107-Gb/s high spectral efficiency coherent optical OFDM," J. Lightw. Technol. 27, 168-176 (2009).

A. J. Lowery, L. B. Du, J. Armstrong, "Performance of optical OFDM in ultralong-haul WDM lightwave systems," J. Lightw. Technol. 25, 131-138 (2007).

J. Lightw. Technol. (1)

Y. Ma, Q. Yang, Y. Tang, S. Chen, W. Shieh, "1-Tb/s single-channel coherent optical OFDM transmission with orthogonal-band multiplexing and subwavelength bandwidth access," J. Lightw. Technol. 28, 308-315 (2010).

J. Lightw. Technol. (7)

S. L. Jansen, I. Morita, T. C. M. Schenk, H. Tanaka, "121.9-Gb/s PDM-OFDM transmission with 2-b/s/Hz spectral efficiency over 1000 km of SSMF," J. Lightw. Technol. 27, 177-188 (2009).

A. D. Ellis, J. Zhao, D. Cotter, "Approaching the non-linear Shannon limit," J. Lightw. Technol. 28, 423-433 (2010).

E. Ip, J. M. Kahn, "Compensation of dispersion and nonlinear impairments using digital backpropagation," J. Lightw. Technol. 26, 3416-3425 (2008).

B. J. C. Schmidt, Z. Zan, L. B. Du, A. J. Lowery, "120 Gbit/s over 500-km using single-band polarization-multiplexed self-coherent optical OFDM," J. Lightw. Technol. 28, 328-335 (2010).

E. Ip, "Nonlinear compensation using backpropagation for polarization-multiplexed transmission," J. Lightw. Technol. 28, 939-951 (2010).

S. L. Jansen, D. van den Borne, B. Spinnler, S. Calabro, H. Suche, P. M. Krummrich, W. Sohler, G.-D. Khoe, H. de Waardt, "Optical phase conjugation for ultra long-haul phase-shift-keyed transmission," J. Lightw. Technol. 24, 54-64 (2006).

P. Minzioni, F. Alberti, A. Schiffini, "Techniques for nonlinearity cancellation into embedded links by optical phase conjugation," J. Lightw. Technol. 23, 2364-2370 (2005).

Opt. Commun. (1)

X. Liu, Y. Qiao, Y. Ji, "Reduction of the fiber nonlinearity impairment using optical phase conjugation in 40 Gb/s CO-OFDM systems," Opt. Commun. 283, 2749-2753 (2010).

Opt. Exp. (1)

A. J. Lowery, S. Wang, M. Premaratne, "Calculation of power limit due to fiber nonlinearity in optical OFDM systems," Opt. Exp. 15, 13282-13287 (2007).

Opt. Lett. (1)

L. B. Du, A. Lowery, "Pilot-based cross-phase modulation compensation for coherent optical orthogonal frequency division multiplexing long-haul optical communications systems," Opt. Lett. 36, 1647-1649 (2011).

Opt. Exp. (5)

X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, G. Li, "Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing," Opt. Exp. 16, 880-888 (2008).

D. Rafique, 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. Exp. 19, 3449-3454 (2011).

L. B. Du, A. J. Lowery, "Improved single channel backpropagation for intra-channel fiber nonlinearity compensation in long-haul optical communication systems," Opt. Exp. 18, 17075-17088 (2010).

A. J. Lowery, J. Armstrong, "Orthogonal-frequency-division multiplexing for dispersion compensation of long-haul optical systems," Opt. Exp. 14, 2079-2084 (2006).

L. B. Du, M. M. Morshed, A. J. Lowery, "Fiber nonlinearity compensation for OFDM super-channels using optical phase conjugation," Opt. Exp. 20, 19921-19927 (2012).

Phys. Rev. Lett. (1)

R.-J. Essiambre, G. J. Foschini, G. Kramer, P. J. Winzer, "Capacity limits of information transport in fiber-optic networks," Phys. Rev. Lett. 101, 163901-1-163901-4 (2008).

Other (4)

H. Takahashi, A. Al Amin, S. L. Jansen, I. Morita, H. Tanaka, "DWDM transmission with 7.0-bit/s/Hz spectral efficiency using 8$\,\times\,$65.1-Gbit/s coherent PDM-OFDM signals," Proc. Opt. Fiber Commun. Conf. (2009) pp. 1-3.

B. Inan, S. Randel, S. L. Jansen, A. Lobato, S. Adhikari, N. Hanik, "Pilot-tone-based nonlinearity compensation for optical OFDM systems," Proc. 36th Eur. Conf. Exhib. Opt. Commun. (2010) pp. 1-3.

K. Kikuchi, M. Fukase, S.-Y. Kim, "Electronic post-compensation for nonlinear phase noise in a 1000-km 20-Gbit/s optical QPSK transmission system using the homodyne receiver with digital signal processing," Proc. Opt. Fiber Commun. Conf./Nat. Fiber Opt. Eng. Conf. (2007) pp. 1-3.

L. B. Du, M. M. Morshed, A. J. Lowery, "604-Gb/s coherent optical OFDM over 800 km of S-SMF with mid-span spectral inversion," OptoElectron. Commun. Conf. (2012) pp. 41-42.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.