Acta Photonica Sinica, Volume. 41, Issue 8, 999(2012)

Numerical Analysis for High Order Nonlinear Optical Pulse Progration on Slip-step Wavelet Method

ZHONG Ming-yu1、*, LIU Dong-feng2, and HU Chang-jun1
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  • 1[in Chinese]
  • 2[in Chinese]
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    Using wavelet transform to replace Fourier transform to solute higher-order nonlinear Schrodinger equation, provides it as another tool, it improves the operation speed.Analyzed the high-order nonlinear Schrodinger equation general solution form.By using Db10 wavelet, obtained the matrix corresponding to differential operator and dispersive operator,also obtained the split-step wavelet method algorithm formula. Derivate the dispersion operator and the signal in wavelet domain multiplied by the approximate calculating formula, the split-step Fourier method need more complex multiplication times than the split-step wavelet method, at the same time that increase the speed of operation cost the computation precision. Finally take the split-step Fourier method as standard, analyzed the split-step wavelet method error, the results show that, for the first order soliton, between the split-step wavelet method and split-step Fourier method relative error fluctuate around 1.2%.

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    ZHONG Ming-yu, LIU Dong-feng, HU Chang-jun. Numerical Analysis for High Order Nonlinear Optical Pulse Progration on Slip-step Wavelet Method[J]. Acta Photonica Sinica, 2012, 41(8): 999

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    Paper Information

    Received: Nov. 2, 2011

    Accepted: --

    Published Online: Aug. 15, 2012

    The Author Email: Ming-yu ZHONG (ap0005238.c.b@163.com)

    DOI:10.3788/gzxb20124108.0999

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