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.

© 2005 Optical Society of Korea

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  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
    [CrossRef]
  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
    [CrossRef]
  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
    [CrossRef]
  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
    [CrossRef]
  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
    [CrossRef]

2004 (1)

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
[CrossRef]

2003 (1)

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
[CrossRef]

2002 (1)

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
[CrossRef]

1998 (1)

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
[CrossRef]

1997 (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
[CrossRef]

1995 (1)

G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., Academic Press, San Diego, 1995

1981 (1)

A. H. Nayfeh, Introduction to Perturbation Techniques, John Wiley & Sons, Inc. 1981

Journal of the Optical Society of Korea (1)

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
[CrossRef]

Lightwave Technology, Journal of (3)

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
[CrossRef]

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
[CrossRef]

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
[CrossRef]

Photonics Technology Letters, IEEE (1)

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
[CrossRef]

Other (2)

A. H. Nayfeh, Introduction to Perturbation Techniques, John Wiley & Sons, Inc. 1981

G. P. Agrawal, Nonlinear Fiber Optics, Second Ed., Academic Press, San Diego, 1995

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