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。
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.
出处
《强激光与粒子束》
EI
CAS
CSCD
北大核心
2004年第7期835-839,共5页
High Power Laser and Particle Beams
基金
国家863计划项目资助课题
关键词
高能激光
束变换环孔腔
环形增益介质
有限差分方法
Computer simulation
Finite difference method
Laser beams
Laser resonators
Numerical analysis