Acta Optica Sinica, Volume. 31, Issue s1, 100510(2011)

Improvement and Numerical Calculation of Split-Step Fourier Method in Solving Nonlinear Schrdinger Equation

Yang Weiqiang*, Hou Jing, Wang Yanbin, Zhang Bin, Song Rui, and Liu Zejin
Author Affiliations
  • [in Chinese]
  • show less

    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.

    Tools

    Get Citation

    Copy Citation Text

    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

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: OPTOELECTRONICS

    Received: Feb. 4, 2011

    Accepted: --

    Published Online: Jun. 23, 2011

    The Author Email: Weiqiang Yang (yangweiqiang_001@126.com)

    DOI:10.3788/aos201131.s100510

    Topics