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Split-step wavelet method for numerical simulation of optical pulse propagation

Chen Hong-Ping Wang Jian He Guo-Guang

Split-step wavelet method for numerical simulation of optical pulse propagation

Chen Hong-Ping, Wang Jian, He Guo-Guang
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  • Abstract views:  2769
  • PDF Downloads:  772
  • Cited By: 0
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  • Received Date:  20 October 2003
  • Accepted Date:  28 October 2004
  • Published Online:  08 June 2005

Split-step wavelet method for numerical simulation of optical pulse propagation

  • 1. 浙江大学物理系,杭州 310027

Abstract: The multi-scale wavelet decomposition and orthogonal wavelet transform are outli ned and applied to the representation of optical pulses. The nonlinear Schrdin ger(NSL) equation, which describes the pulse propagation in optical media, is us ed to represent the split-step operator form in wavelet domain. The iterative eq uation of the split-step wavelet algorithm for the solution of the NLS equation is presented. The expression of the linear operator in wavelet domain is given a nd the framework of the derivative operator is discussed. As an example, the linear and nonlinear propagations of ultrashort Gaussian pulse through optical fibers are numerically simulated by using the split-step wavelet method (SSWM), and compared with that by using the analytic solution and the split-step Fourier met hod. The results show that SSWM is an accurate and effective numerical method fo r the study of the pulses propagation through optical media.

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