强激光与粒子束, 2004, 16 (7): 835, 网络出版: 2006-05-15
束变换环孔激光谐振腔的环束场传输差分计算
Calculation of annular beam propagation in beam-converting annular resonator with a fast finite difference method
高能激光 束变换环孔腔 环形增益介质 有限差分方法 High energy laser Beam-converting annular resonator Annular gain medium Finite difference method
摘要
通过使用新的坐标变量和光场的表达形式,推导了新坐标系下环束场传输的偏微分方程,给出了相应差分方程的截断误差和稳定性条件,使得环束场传输计算速度大幅提高;使用二阶精度的Crank-Nicolso差分方法对束变换环孔激光谐振腔的环束场传输进行了计算,并与W.D.Murphy和M.L.Bernabe所给M-B积分近似方法的计算结果进行了比较,证实了该方法无论计算速度和精度都优于M-B积分近似方法.
Abstract
Beam-converting annular resonator(BCAR) possesses outstanding characteristics of high extraction efficiency and near-diffractive beam quality.But the numerical simulation of BCAR is a hard work,for the thin annular beam propagating calculation will cost much computer work with conventional methods.In this paper a clever finite difference method based on coordinates transform is presented.This method can largely reduce the time for calculating annular beam propagation,it also has higher precision than W.D.Murphy's approximation method does.
刘文广, 陆启生, 刘泽金. 束变换环孔激光谐振腔的环束场传输差分计算[J]. 强激光与粒子束, 2004, 16(7): 835. LIU Wen-guang, LU Qi-sheng, LIU Ze-jin. Calculation of annular beam propagation in beam-converting annular resonator with a fast finite difference method[J]. High Power Laser and Particle Beams, 2004, 16(7): 835.