Abstract

An approach based on linearization that allows us to calculate the timing and amplitude jitter for arbitrary pulse shapes in dispersion-managed fibers is developed. We apply this approach to calculate the jitter for dispersion-managed soliton, return-to-zero (RZ), and nonreturn-to-zero (NRZ) transmission formats. We then estimate the bit error rates. The approach described here yields more precise results than Monte Carlo simulations at a fraction of the computational cost.

[IEEE ]

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  1. J. P. Gordon and H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission," Opt. Lett., vol. 11, pp. 665-667, 1986.
  2. G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, "Timing-jitter reduction for a dispersion-managed soliton system: Experimental evidence," Opt. Lett., vol. 22, pp. 513-515, 1997.
  3. S. Kumar and A. Hasegawa, "Quasisoliton propagation in dispersion-managed optical fibers," Opt. Lett., vol. 22, pp. 372-375, 1997.
  4. D. Marcuse, "Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers," J. Lightwave Technol., vol. 8, pp. 1816-1823, 1990.
  5. P. A. Humblet and M. Azizoglu, "On the bit error rate of lightwave systems with optical amplifiers," J. Lightwave Technol., vol. 9, pp. 1576-1082, 1991.
  6. R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, "Modulation instability and its impact in multispan optical amplified IMDD systems: Theory and experiments," J. Lightwave Technol., vol. 15, pp. 1071-1082, 1997.
  7. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, "Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion," Electron. Lett., vol. 33, pp. 1726-1727, 1997; see also, V. S. Grigoryan and C. R. Menyuk, "Dispersion-managed solitons at normal average dispersion," Opt. Lett., vol. 23, pp. 609-611, 1998; see also, S. K. Turitsyn and E. G. Shapiro, "Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion," Opt. Lett., vol. 23, pp. 682-684, 1998; see also, J. N. Kutz and S. G. Evangelides Jr., "Dispersion-managed breathers with average normal dispersion," Opt. Lett., vol. 23, pp. 685-687, 1998; A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, "Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion," Opt. Lett., vol. 23, pp. 900-902, 1998; see also, Y. Chen and H. A. Haus, "Dispersion-managed solitons with net positive dispersion," Opt. Lett., vol. 23, pp. 1013-1015, 1998; see also, T. I. Lakoba, J. Yung, D. J. Kaup, and B. A. Malomed, "Conditions for stationary pulse propagation in the strong dispersion management regime," Opt. Commun., vol. 149, pp. 366-375, 1998.
  8. C. R. Menyuk, "Non-Gaussian corrections to the Gordon-Haus distribution resulting from soliton interactions," Opt. Lett., vol. 20, pp. 285-288, 1995.

J. Lightwave Technol. (3)

D. Marcuse, "Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers," J. Lightwave Technol., vol. 8, pp. 1816-1823, 1990.

P. A. Humblet and M. Azizoglu, "On the bit error rate of lightwave systems with optical amplifiers," J. Lightwave Technol., vol. 9, pp. 1576-1082, 1991.

R. Hui, M. O'Sullivan, A. Robinson, and M. Taylor, "Modulation instability and its impact in multispan optical amplified IMDD systems: Theory and experiments," J. Lightwave Technol., vol. 15, pp. 1071-1082, 1997.

Opt. Lett. (5)

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, "Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion," Electron. Lett., vol. 33, pp. 1726-1727, 1997; see also, V. S. Grigoryan and C. R. Menyuk, "Dispersion-managed solitons at normal average dispersion," Opt. Lett., vol. 23, pp. 609-611, 1998; see also, S. K. Turitsyn and E. G. Shapiro, "Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion," Opt. Lett., vol. 23, pp. 682-684, 1998; see also, J. N. Kutz and S. G. Evangelides Jr., "Dispersion-managed breathers with average normal dispersion," Opt. Lett., vol. 23, pp. 685-687, 1998; A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, "Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion," Opt. Lett., vol. 23, pp. 900-902, 1998; see also, Y. Chen and H. A. Haus, "Dispersion-managed solitons with net positive dispersion," Opt. Lett., vol. 23, pp. 1013-1015, 1998; see also, T. I. Lakoba, J. Yung, D. J. Kaup, and B. A. Malomed, "Conditions for stationary pulse propagation in the strong dispersion management regime," Opt. Commun., vol. 149, pp. 366-375, 1998.

C. R. Menyuk, "Non-Gaussian corrections to the Gordon-Haus distribution resulting from soliton interactions," Opt. Lett., vol. 20, pp. 285-288, 1995.

J. P. Gordon and H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission," Opt. Lett., vol. 11, pp. 665-667, 1986.

G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, "Timing-jitter reduction for a dispersion-managed soliton system: Experimental evidence," Opt. Lett., vol. 22, pp. 513-515, 1997.

S. Kumar and A. Hasegawa, "Quasisoliton propagation in dispersion-managed optical fibers," Opt. Lett., vol. 22, pp. 372-375, 1997.

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