Acta Photonica Sinica, Volume. 41, Issue 8, 999(2012)
Numerical Analysis for High Order Nonlinear Optical Pulse Progration on Slip-step Wavelet Method
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
Received: Nov. 2, 2011
Accepted: --
Published Online: Aug. 15, 2012
The Author Email: Ming-yu ZHONG (ap0005238.c.b@163.com)