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Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 23,
  • Issue 6,
  • pp. 2073-
  • (2005)

Second-Order Theory for Self-Phase Modulation and Cross-Phase Modulation in Optical Fibers

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Abstract

The authors develop a second-order perturbation technique for the study of self-phase modulation (SPM) and cross-phase modulation (XPM) effects in optical fibers. When the dispersion distance is much shorter than the nonlinear length, it is found that the difference between the first-and second-order solution is negligible. However, as the dispersion distance increases,nonlinearity becomes a stronger perturbation, and the first-order theory is not adequate to describe the SPM effects. However, the results obtained using the second-order perturbation technique is in good agreement with numerical simulations even when the dispersion distance is longer than the nonlinear length. When pulses of different channels are copropagating in a fiber, they undergo amplitude distortion and timing shift due to XPM. The perturbation technique presented in this paper accounts for both amplitude distortion and timing shift of a pulse due to XPM.

© 2005 IEEE

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