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 beamconverting annular resonator with a fast finite difference method
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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 caracteristics 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．
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