Journal of the Optical Society of Korea

Optical Society of Korea (한국광학회)
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Analysis of Fiber Nonlinearities by Perturbation Method

  • Lee Jong-Hyung (Department of Electronic Engineering, Dongeui University) ;
  • Han Dae-Hyun (Department of Electronic Engineering, Dongeui University) ;
  • Choi Byeong-Yoon (Department of Computer Engineering, Dongeui University)
  • Received : 2003.10.22
  • Published : 2005.03.01
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Abstract

The perturbation approach is applied to solve the nonlinear Schrodinger equation, and its valid range has been determined by comparing with the results of the split-step Fourier method over a wide range of parameter values. With γ= 2㎞/sup -1/mW/sup -1/, the critical distance for the first order perturbation approach is estimated to be(equation omitted). The critical distance, Z/sub c/, is defined as the distance at which the normalized square deviation compared to the split-step Fourier method reaches 10/sup -3/. Including the second order perturbation will increase Z/sub c/ more than a factor of two, but the increased computation load makes the perturbation approach less attractive. In addition, it is shown mathematically that the perturbation approach is equivalent to the Volterra series approach, which can be used to design a nonlinear equalizer (or compensator). Finally, the perturbation approach is applied to obtain the sinusoidal response of the fiber, and its range of validity has been studied.

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References

  1. K. V. Peddanarappagari and M. Brandt-Pearce, 'Volterra series transfer function of single-mode fibers,' Journal of Lightwave Technology, vol. 15, no. 12, pp. 2232- 2241, Dec. 1997 https://doi.org/10.1109/50.643545
  2. K. V. Peddanarappagari and M. Brandt-Pearce, 'Volterra series approach for optimizing fiber-optic communications system designs,' Journal of Lightwave Technology, vol. 16, no. 11, pp. 2046-2055, Nov. 1998 https://doi.org/10.1109/50.730369
  3. B. Xu and M. Brandt-Pearce, 'Modified Volterra series transfer function method,' IEEE Photonics Technology Letters, vol. 14, no. 1, pp. 47-49, Jan. 2002 https://doi.org/10.1109/68.974157
  4. B. Xu and M. Brandt-Pearce, 'Comparison of FWMand XPM-induced crosstalk using the Volterra series transfer function method,' Journal of Lightwave Technology, vol. 21, no. 1, pp. 40-53, Jan. 2003 https://doi.org/10.1109/JLT.2002.806360
  5. A. H. Nayfeh, Introduction to Perturbation Techniques, John Wiley & Sons, Inc. 1981
  6. G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., Academic Press, San Diego, 1995
  7. Jong-Hyung Lee, Dae-Hyun Han, and Byeong-Yoon Choi, 'Analysis of system performance degradation using sinusoidally modulated signal in optical fiber communication systems,' Journal of Optical Society of Korea, vol. 8, no. 2, pp. 59-64, June 2004 https://doi.org/10.3807/JOSK.2004.8.2.059

Cited by

  1. Noise Loading Analysis using Volterra Kernels to Characterize Fiber Nonlinearities vol.23, pp.6, 2012, https://doi.org/10.3807/KJOP.2012.23.6.246