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在考虑泵浦光束和初始反转粒子数椭圆高斯分布的条件下,确定了新的调Q耦合速率方程。在椭圆高斯分布近似下,通过数值分析的方法针对脉冲能量进行优化,首次得到了归一化的脉冲能量和反射镜反射率等关键参数与无量纲变量z的关系曲线。文中以半导体激光器贴近端面泵浦,Cr4+:YAG作为饱和吸收体的Nd:YVO4被动调Q激光器为例进行了脉冲能量优化计算,在小信号透过率为75%,反射率91.8%时,对应最大脉冲能量1.5μJ,峰值功率81 W,脉冲宽度18.4 ns。选用小信号透过率为73.4%的饱和吸收体和反射率为87%的反射镜进行实验验证,得到的脉冲能量为1.25μJ,峰值功率为76.4 W,脉冲宽度为16.3 ns。理论计算与实验结果基本相符。
Considering the elliptic Gaussian distribution of the pump beam and the number of initial inversion particles, a new Q-coupling rate equation was established. Under the approximation of elliptic Gaussian distribution, the pulse energy is optimized by numerical analysis. For the first time, the relationship between the normalized pulse energy and the reflectivity of the reflector and the dimensionless variable z is obtained. In this paper, the pulse energy is optimized by using a semiconductor laser near the end-pumped Nd: YVO4 passive Q-switched laser with Cr4 +: YAG as the saturable absorber. When the small signal transmittance is 75% and the reflectance is 91.8% Maximum pulse energy 1.5μJ, peak power 81 W, pulse width 18.4 ns. The experimental results show that the pulse energy is 1.25μJ, the peak power is 76.4 W and the pulse width is 16.3 ns by using the saturated absorber with small signal transmittance of 73.4% and the reflector with 87% reflection. Theoretical calculation and experimental results are basically consistent.