计算物理 ›› 1996, Vol. 13 ›› Issue (2): 141-146.

• 论文 • 上一篇    下一篇

FEL数值模拟研究——解光场方程的谱方法

张治畴1,2, 姚军1,2   

  1. 1. 北京应用物理与计算数学研究所, 北京 100088;
    2. 国家863计划强辐射实验室
  • 收稿日期:1994-09-13 修回日期:1996-01-02 出版日期:1996-06-25 发布日期:1996-06-25

INVERSTIGATION ON THE NUMERICAL SIMULATION OF THE FEL——SPECTRAL METHODS SOLVING LIGHT FIELD EQUATION

Zhang Zhichou1,2, Yao Jun1,2   

  1. institute of applied physics and computational mathematics, Beijing 100088
  • Received:1994-09-13 Revised:1996-01-02 Online:1996-06-25 Published:1996-06-25

摘要: 讨论了用三维自由空间的本征模,G-H(Gauss-Hermite)模,逼近光场方程解析解的方法。根据G-H模自身的特点和物理要求,估计出需要计算的模的个数m、n是不大的。同时,由于方法的特点,可以作到:(1)模拟电子数同差分法相比可以减少近两个量级;(2)电子方程和各阶G-H模都可以完全并行计算。

关键词: 自由电子激光(FEL), G-H模, 谱方法, 并行计算, 差分法(DM)

Abstract: This paper is concerned with the method,which approaches to analytical solution of the light field equation with the Gauss-Hermite mode in three-dimension free space.The number of modes needed for calculating has been eatimated.The method has the following advantages:(1)Simulation electron number is reduced by about two orders of magnitude in comparison with DM methed;(2)Electron equations and G-H modes can be computed parallely.

Key words: Free electron laser(FEL), Gauss-Hermite(G-H)mode, Spectrum method, Parallel computations, Difference method(DM)

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