非稳腔傍轴波动方程高斯球面波修正方法的数值研究

计算物理 ›› 2001, Vol. 18 ›› Issue (6): 501-506.

非稳腔傍轴波动方程高斯球面波修正方法的数值研究

付汉清, 王泰春

北京应用物理与计算数学研究所, 计算物理实验室, 北京 100088

收稿日期:2000-12-22 修回日期:2001-05-08 出版日期:2001-11-25 发布日期:2001-11-25
作者简介:付汉清(1966-),男,江西临川,副研,硕士,乩事计算数学方面的研究.

NUMERICAL STUDY OF GUASSIAN SPHERICAL WAVE MODIFIED METHOD OF THE PARAXIAL WAVE EQUATIONS IN THE UNSTABLE CAVITY

FU Han-qing, WANG Tai-chun

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100080, P R China

Received:2000-12-22 Revised:2001-05-08 Online:2001-11-25 Published:2001-11-25

摘要/Abstract

摘要： 在分析用差分方法求解虚共焦非稳腔三维傍轴波动方程,及用数值积分方法与快速付氏变换(FFT)方法求解三维菲涅耳积分方程优缺点的基础上,从激光束在虚共焦非稳腔中以修正高斯球面波形式传输的特征出发,经坐标变换把发散(或会聚)的光束拉直成平行光束,然后用FFT方法求解了在新坐标系中修正函数满足的傍轴波动方程.把相同条件下得到的结果与国内外文献给出的结果进行了比较;计算COIL实验非稳腔给出的近远场结果图象合理正确.

关键词: 高斯球面波, 傍轴波动方程, 三维共焦非稳腔

Abstract: The advantages and disadvantages of the 3D paraxial wave equations in the confocal unstable cavity solved by the difference methods and 3D Fresnel integral equations solved by the numerical integral method and the fast Fourier transform (FFT) method are analyzed. It is assumed that the laser beam in the unstable cavity transfers by the modified Guassian spherical wave. By using a coordinate transformation, the diverging or converging beam is converted into equivalent collimated beam. The paraxial wave equation of the modified function is solved by FFT method. Under the same conditions, the obtained results coincide with those in the internal and external references. The near field and far field results computed in confocal unstable cavity of the COIL experiment are reasonable.

Key words: Guassian spherical wave, paraxial wave equations, confocal unstable cavity

中图分类号:

TN815.02

付汉清, 王泰春. 非稳腔傍轴波动方程高斯球面波修正方法的数值研究[J]. 计算物理, 2001, 18(6): 501-506.

FU Han-qing, WANG Tai-chun. NUMERICAL STUDY OF GUASSIAN SPHERICAL WAVE MODIFIED METHOD OF THE PARAXIAL WAVE EQUATIONS IN THE UNSTABLE CAVITY[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(6): 501-506.