Abstract

An original approach to the solution of the nonlinear Schrödinger equation (NLSE) is pursued in this paper, following the regular perturbation (RP) method. Such an iterative method provides a closed-form approximation of the received field and is thus appealing for devising nonlinear equalization/compensation techniques for optical transmission systems operating in the nonlinear regime. It is shown that, when the nonlinearity is due to the Kerr effect alone, the order N RP solution coincides with the order 2n+1 Volterra series solution proposed by Brandt-Pearce and co-workers. The RP method thus provides a computationally efficient way of evaluating the Volterra kernels, with a complexity comparable to that of the split-step Fourier method (SSFM). Numerical results on 10 Gb/s single-channel terrestrial transmission systems employing common dispersion maps show that the simplest third-order Volterra series solution is applicable only in the weakly nonlinear propagation regime, for peak transmitted power well below 5 dBm. However, the insight in the nonlinear propagation phenomenon provided by the RP method suggests an enhanced regular perturbation (ERP) method, which allows the first-order ERP solution to be fairly accurate for terrestrial dispersion-mapped systems up to launched peak powers of 10 dBm.

[IEEE ]

PDF Article

References

  • View by:
  • |

  1. A. V. T. Cartaxo, "Cross-phase modulation in intensity modulation direct detection WDM systems with multiple optical amplifiers and dispersion compensators", J. Lightwave Technol., vol. 17, pp. 178-190, Feb. 1999.
  2. H. Sugahara, H. Kato, T. Inoue, A. Maruta and Y. Kodama, "Optimal dispersion management for a wavelength division multiplexed optical soliton transmission system", J. Lightwave Technol., vol. 17, pp. 1547-1559, Sept. 1999 .
  3. Y. Kodama and S. Wabnitz, "Analytical theory of guiding center nonreturn to zero and return to zero signal transmission in normally dispersive nonlinear optical fibers", Opt. Lett., vol. 20, pp. 2291-2293, Nov. 1995.
  4. K. V. Peddanarappagari and M. Brandt-Pearce, "Volterra series transfer function of single-mode fibers", J. Lightwave Technol., vol. 15, pp. 2232-2241, Dec. 1997.
  5. K. V. Peddanarappagari and M. Brandt-Pearce, "Volterra series approach for optimizing fiber optic communications system design", J. Lightwave Technol., vol. 16, pp. 2046-2055, Nov. 1998 .
  6. M. Eiselt, "Limits on WDM systems due to four-wave mixing: A statistical approach", J. Lightwave Technol., vol. 17, pp. 2261-2267, Nov. 1999.
  7. J. Tang, "The Shannon channel capacity of dispersion-free nonlinear optical fiber transmission", J. Lightwave Technol., vol. 19, pp. 1104-1109, Aug. 2001.
  8. J. Tang, "The multispan effects of Kerr nonlinearity and amplifier noises on Shannon channel capacity of a dispersion-free nonlinear optical fiber", J. Lightwave Technol., vol. 19, pp. 1110-1115, Aug. 2001.

J. Lightwave Technol. (7)

Opt. Lett. (1)

Cited By

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