• Acta Optica Sinica
  • Vol. 31, Issue s1, 100510 (2011)
Yang Weiqiang*, Hou Jing, Wang Yanbin, Zhang Bin, Song Rui, and Liu Zejin
Author Affiliations
  • [in Chinese]
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    DOI: 10.3788/aos201131.s100510 Cite this Article Set citation alerts
    Yang Weiqiang, Hou Jing, Wang Yanbin, Zhang Bin, Song Rui, Liu Zejin. Improvement and Numerical Calculation of Split-Step Fourier Method in Solving Nonlinear Schrdinger Equation[J]. Acta Optica Sinica, 2011, 31(s1): 100510 Copy Citation Text show less

    Abstract

    A dynamic and adaptable method for choosing the time window and step size is given, based on the split-step Fourier method for solving the nonlinear Schrdinger equation. In this method, the time window is adjusted based on the diffusion of input pulse, and the step size is controlled by using a measure of the local error. This method has a high accuracy, which is most efficient for the improvement of calculation efficiency. How to choose positive and negative Fourier transformation forms during the calculation process is discussed, and how to get the approximate continuum waves in the time and frequency domain from the discrete results is analyzed. Supercontinuum generation in a high-nonlinearity photonic crystal fiber is investigated numerically, which validates the correctness of the calculation method.
    Yang Weiqiang, Hou Jing, Wang Yanbin, Zhang Bin, Song Rui, Liu Zejin. Improvement and Numerical Calculation of Split-Step Fourier Method in Solving Nonlinear Schrdinger Equation[J]. Acta Optica Sinica, 2011, 31(s1): 100510
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