非线性色散光纤中光脉冲传输模型的数值计算研究

Numerical Analysis of Pulse Propagation in Nonlinear Dispersion Fiber

超短光脉冲(T0>10fs)在非线性色散光纤中传输满足广义的非线性薛定谔方程。该方程一般情况下不适合于解析求解,通常需做数值处理。文章介绍了求解此方程的数值方法———分步傅立叶方法,并提出非线性效应也在频域内计算的改进方法。研究了分步傅立叶方法的精度,为了进一步提高精度,介绍了该方法的修正算法———对称分布傅立叶方法。

Propagation of ultrashort pulses along nonlinear dispersion fibers can be characterized by the generalized scalar nonlinear Schoedinger equation. In general, this equation can not be solved analytically, so we need deal with it numerically. In this paper, a numerical approach （split-step Fourier method） for solving the equation is discussed and we present that the nonlinear effects are calculated in the frequency domain. In this paper the accuracy of split-step Fourier method is investigated. In order to improve the accuracy, the improved method （symmetrical split-step Fourier method） is presented.