Analytical modeling of a single channel nonlinear fiber optic system based on QPSK

doi:10.1364/OE.20.027740

Analytical modeling of a single channel nonlinear fiber optic system based on QPSK

Shiva Kumar, Sina Naderi Shahi, and Dong Yang »View Author Affiliations

Optics Express, Vol. 20, Issue 25, pp. 27740-27755 (2012)
http://dx.doi.org/10.1364/OE.20.027740

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Abstract
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References (17)
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Abstract

A first order perturbation theory is used to develop analytical expressions for the power spectral density (PSD) of the nonlinear distortions due to intra-channel four-wave mixing (IFWM). For non-Gaussian pulses, the PSD can not be calculated analytically. However, using the stationary phase approximations, we found that convolutions become simple multiplications and a simple analytical expression for the PSD of the nonlinear distortion is found. The PSD of the nonlinear distortion is combined with the amplified spontaneous emission (ASE) PSD to obtain the total variance and bit error ratio (BER). The analytically estimated BER is found to be in good agreement with numerical simulations.

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: August 21, 2012
Revised Manuscript: November 12, 2012
Manuscript Accepted: November 15, 2012
Published: November 29, 2012

Citation
Shiva Kumar, Sina Naderi Shahi, and Dong Yang, "Analytical modeling of a single channel nonlinear fiber optic system based on QPSK," Opt. Express 20, 27740-27755 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-25-27740

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References

I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, “Influence of inter-bit four-wave mixing in optical TDM transmission,” Electron. Lett.34, 1600–1601 (1998). [CrossRef]
R. J. Essiambre, B. Mikkelsen, and G. Raybon, “Intra-channel crossphase modulation and four-wave mixing in high-speed TDM systems,” Electron. Lett.35, 1576–1578 (1999). [CrossRef]
P. V. Mamyshev and N. A. Mamysheva, “Pulse-overlapped dispersion managed data transmission and intrachan-nel four-wave mixing,” Opt. Lett.24, 1454–1456 (1999). [CrossRef]
A. Mecozzi, C. B. Clausen, and M. Shtaif, “Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission,” IEEE Photon. Technol. Lett.12, 292–294 (2000).
S. Kumar, “Intrachannel four-wave mixing in dispersion managed RZ systems,” IEEE Photon. Technol. Lett.13, 800–802 (2001). [CrossRef]
M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express16, 15777–15810 (2008). [CrossRef] [PubMed]
D. Yang and S. Kumar, “Intra-channel four-wave mixing impairments in dispersion-managed coherent fiber-optic systems based on binary phase-shift keying,” J. Lightw. Technol.27, 2916–2923 (2009). [CrossRef]
A. Bononi, P. Serena, N. Rossi, E. Grellier, and F. Vacondio, “Modeling monlinearity in coherent transmissions with dominant intrachannel-four-wave-mixing,” Opt. Express20, 7777–7791 (2012). [CrossRef] [PubMed]
A. Carena, V. Curri, G. Bosco, P. Poggiolini, and F. Forghieri, “Modeling of the impact of nonlinear propagation effects in uncompensated optical coherent transmission links,” J. Lightw. Technol.30, 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, 742–744 (2011). [CrossRef]
A. Mecozzi and Rene Essiambre, “Nonlinear Shannon limit in pseudolinear coherent systems,” J. Lightw. Technol.30, 2011–2024 (2012). [CrossRef]
S. Turitsyn, M. Sorokina, and S. Derevyanko, “Dispersion-dominated nonlinear fiber-optic channel,” Opt. Lett.37, 2931–2933 (2012). [CrossRef] [PubMed]
S. Kumar and D. Yang, “Second-order theory for self-phase modulation and cross-phase modulation in optical fibers,” J. Lightw. Technol.23, 2073–2080 (2005). [CrossRef]
J. D. Jackson, Classical Electrodynamics (Wiley, 1998).
U. Madhow, “Chapter 3: Demodulation,” in Fundamentals of Digital Communication (Cambridge University Press, 2008). [CrossRef]
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 Proceedings ECOC, (2010), pp. 1–3.
M. Nazarathy, “Accurate evaluation of bit-error rates of optical communication systems using the Gram-Charlier series,” IEEE Trans. Commun.54, 295–301 (2006). [CrossRef]

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[1] I. Shake, H. Takara, K. Mori, S. Kawanishi, and Y. Yamabayashi, “Influence of inter-bit four-wave mixing in optical TDM transmission,” Electron. Lett.34, 1600–1601 (1998). [CrossRef]

[2] R. J. Essiambre, B. Mikkelsen, and G. Raybon, “Intra-channel crossphase modulation and four-wave mixing in high-speed TDM systems,” Electron. Lett.35, 1576–1578 (1999). [CrossRef]

[3] P. V. Mamyshev and N. A. Mamysheva, “Pulse-overlapped dispersion managed data transmission and intrachan-nel four-wave mixing,” Opt. Lett.24, 1454–1456 (1999). [CrossRef]

[4] A. Mecozzi, C. B. Clausen, and M. Shtaif, “Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission,” IEEE Photon. Technol. Lett.12, 292–294 (2000).

[5] S. Kumar, “Intrachannel four-wave mixing in dispersion managed RZ systems,” IEEE Photon. Technol. Lett.13, 800–802 (2001). [CrossRef]

[6] M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express16, 15777–15810 (2008). [CrossRef] [PubMed]

[7] D. Yang and S. Kumar, “Intra-channel four-wave mixing impairments in dispersion-managed coherent fiber-optic systems based on binary phase-shift keying,” J. Lightw. Technol.27, 2916–2923 (2009). [CrossRef]

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

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

[10] 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, 742–744 (2011). [CrossRef]

[11] A. Mecozzi and Rene Essiambre, “Nonlinear Shannon limit in pseudolinear coherent systems,” J. Lightw. Technol.30, 2011–2024 (2012). [CrossRef]

[12] S. Turitsyn, M. Sorokina, and S. Derevyanko, “Dispersion-dominated nonlinear fiber-optic channel,” Opt. Lett.37, 2931–2933 (2012). [CrossRef] [PubMed]

[13] S. Kumar and D. Yang, “Second-order theory for self-phase modulation and cross-phase modulation in optical fibers,” J. Lightw. Technol.23, 2073–2080 (2005). [CrossRef]

[14] J. D. Jackson, Classical Electrodynamics (Wiley, 1998).

[15] U. Madhow, “Chapter 3: Demodulation,” in Fundamentals of Digital Communication (Cambridge University Press, 2008). [CrossRef]

[16] 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 Proceedings ECOC, (2010), pp. 1–3.

[17] M. Nazarathy, “Accurate evaluation of bit-error rates of optical communication systems using the Gram-Charlier series,” IEEE Trans. Commun.54, 295–301 (2006). [CrossRef]

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Analytical modeling of a single channel nonlinear fiber optic system based on QPSK