Abstract

Analytical expressions for the phase variance in a nonlinear fiber optic system based on phase-shift keying are developed. The Gauss-Hermite functions are used as the orthogonal basis to represent the noise field. Number of degrees of freedom (DOF) to accurately model the phase variance is estimated. The amplifier noise excites higher order Gauss-Hermite noise modes and the nonlinear mixing of a signal pulse and higher order Gauss-Hermite noise mode leads to new noise fields which enhance the nonlinear phase noise. The higher order noise modes propagate linearly and enhance the linear phase noise if the matched filter is not used at the receiver. Analytical expression for the optimum launch power is developed taking into account the linear and nonlinear phase noise.

© 2009 IEEE

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2007 (2)

A. Demir, "Nonlinear phase noise in optical fiber communication systems," J. Lightw. Technol. 25, 2002-2032 (2007).

J. Li, E. Spiller, G. Biondini, "Noise-induced perturbations of dispersion managed solitons," Phys. Rev. A 75, 053818-1-053818-13 (2007).

2006 (6)

P. J. Winzer, R.-J. Essiambre, "Advanced modulation formats for high capacity optical transport networks," J. Lightw. Technol. 24, 4711-4728 (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," IEEE J. Lightw. Technol. 24, 54-64 (2006).

P. Serena, A. Orlandini, A. Bononi, "Parametric-gain approach to the analysis of single-channel DPSK/DQPSK systems with nonlinear phase noise," J. Lightw. Technol. 24, 2026-2037 (2006).

F. Zhang, C.-A. Bunge, K. Petermann, "Analysis of nonlinear phase noise in single-channel return-to-zero differential phase-shift keying transmission systems," Opt. Lett. 31, 1038-1040 (2006).

K.-P. Ho, H.-C. Wang, "Effect of dispersion on nonlinear phase noise," Opt. Lett. 31, 2109-2111 (2006).

X. Zhu, S. Kumar, X. Li, "Comparison between DPSK and OOK modulation schemes in nonlinear optical transmission systems," Appl. Opt. 45, 6812-6822 (2006).

2005 (3)

S. Kumar, "Effect of dispersion on nonlinear phase noise in optical transmission systems," Opt. Lett. 30, 3278-3280 (2005).

K.-P. Ho, H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).

S. Kumar, D. Yang, "Second order theory for self-phase modulation and cross-phase modulation in optical fibers," J. Lightw. Technol. 23, 2073-2080 (2005).

2004 (2)

M. Hanna, D. Boivin, P.-A. Lacourt, J.-P. Goedgebuer, "Calculation of optical phase jitter in dispersion-managed systems by the use of the moment method," J. Opt. Soc. Amer. B 21, 24-28 (2004).

Mecozzi, "Probability density functions of the nonlinear phase noise," Opt. Lett. 29, 673-675 (2004).

2003 (4)

K.-P. Ho, "Asymptotic probability density of nonlinear phase noise," Opt. Lett. 28, 1350-1352 (2003).

A. G. Green, P. P. Mitra, L. G. L. Wegener, "Effect of chromatic dispersion on nonlinear phase noise," Opt. Lett. 28, 2455-2457 (2003).

H. Kim, A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).

K.-P. Ho, "Probability density of nonlinear phase noise," J. Opt. Soc. Amer. B 20, 1875-1879 (2003).

2002 (2)

C. J. McKinstrie, C. Xie, "Phase jitter in single-channel soliton systems with constant dispersion," IEEE J. Sel. Top. Quant. Electron. 8, 616-625 (2002).

C. J. McKinstrie, C. Xie, T. Lakoba, "Efficient modeling of phase jitter in dispersion-managed soliton systems," Opt. Lett. 27, 1887-1889 (2002).

2000 (1)

A. Mecozzi, C. B. Clausen, M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).

1998 (2)

S. K. Turitsyn, V. K. Mezentsev, "Dynamics of self-similar dispersion managed soliton presented in the basis of chirped Gauss-Hermite functions," JETP Lett. 67, 616-621 (1998).

T. I. Lakoba, D. J. Kaup, "Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers," Phys. Rev. E 58, 6728-6741 (1998).

1997 (2)

1994 (1)

A. Mecozzi, "Limits to the long haul coherent transmission set by the Kerr nonlinearity and noise of in-line amplifiers," J. Lightw. Technol. 12, 1993-2000 (1994).

1990 (1)

1973 (1)

A. E. Siegman, "Hermite-gaussian functions of complex argument as optical-beam eigenfunctions," J. Opt. Soc. Amer. 63, 1093-1094 (1973).

Appl. Opt. (1)

IEEE J. Lightw. Technol. (1)

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," IEEE J. Lightw. Technol. 24, 54-64 (2006).

IEEE J. Sel. Top. Quant. Electron. (1)

C. J. McKinstrie, C. Xie, "Phase jitter in single-channel soliton systems with constant dispersion," IEEE J. Sel. Top. Quant. Electron. 8, 616-625 (2002).

IEEE Photon. Technol. Lett. (3)

K.-P. Ho, H.-C. Wang, "Comparison of nonlinear phase noise and intrachannel four wave mixing for RZ-DPSK signals in dispersive transmission systems," IEEE Photon. Technol. Lett. 17, 1426-1428 (2005).

H. Kim, A. H. Gnauck, "Experimental investigation of the performance limitation of DPSK systems due to nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 320-322 (2003).

A. Mecozzi, C. B. Clausen, M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).

J. Lightw. Technol. (5)

S. Kumar, D. Yang, "Second order theory for self-phase modulation and cross-phase modulation in optical fibers," J. Lightw. Technol. 23, 2073-2080 (2005).

P. J. Winzer, R.-J. Essiambre, "Advanced modulation formats for high capacity optical transport networks," J. Lightw. Technol. 24, 4711-4728 (2006).

A. Mecozzi, "Limits to the long haul coherent transmission set by the Kerr nonlinearity and noise of in-line amplifiers," J. Lightw. Technol. 12, 1993-2000 (1994).

A. Demir, "Nonlinear phase noise in optical fiber communication systems," J. Lightw. Technol. 25, 2002-2032 (2007).

P. Serena, A. Orlandini, A. Bononi, "Parametric-gain approach to the analysis of single-channel DPSK/DQPSK systems with nonlinear phase noise," J. Lightw. Technol. 24, 2026-2037 (2006).

J. Opt. Soc. Amer. (1)

A. E. Siegman, "Hermite-gaussian functions of complex argument as optical-beam eigenfunctions," J. Opt. Soc. Amer. 63, 1093-1094 (1973).

J. Opt. Soc. Amer. B (2)

M. Hanna, D. Boivin, P.-A. Lacourt, J.-P. Goedgebuer, "Calculation of optical phase jitter in dispersion-managed systems by the use of the moment method," J. Opt. Soc. Amer. B 21, 24-28 (2004).

K.-P. Ho, "Probability density of nonlinear phase noise," J. Opt. Soc. Amer. B 20, 1875-1879 (2003).

JETP Lett. (1)

S. K. Turitsyn, V. K. Mezentsev, "Dynamics of self-similar dispersion managed soliton presented in the basis of chirped Gauss-Hermite functions," JETP Lett. 67, 616-621 (1998).

Opt. Lett. (10)

Phys. Rev. A (1)

J. Li, E. Spiller, G. Biondini, "Noise-induced perturbations of dispersion managed solitons," Phys. Rev. A 75, 053818-1-053818-13 (2007).

Phys. Rev. E (1)

T. I. Lakoba, D. J. Kaup, "Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers," Phys. Rev. E 58, 6728-6741 (1998).

Other (5)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2007).

J. G. Proakis, Digital Communications (McGraw-Hill, 2001) pp. 268.

R.-J. Essiambre, G. Raybon, B. Mikkelsen, Optical Fiber Telecommunications IV B (Academic, 2002) pp. 232-304.

B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, 2007) pp. 95-97.

C. Sulem, P. L. Sulem, The Nonlinear Schrodinger Equation (Springer-Verlag, 1999).

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