反斯托克斯散射是频率上转换的四波混频效应, 通常反斯托克斯激光器的转换效率较低。因此, 通过理论优化指导实验对提高激光器的性能尤为重要。对平面波近似下的内腔式反斯托克斯激光器的速率方程进行归一化处理, 通过数值求解归一化速率方程组, 得到描述内腔式反斯托克斯激光器运行的一组普适理论曲线, 分析了复合归一化变量对内腔式反斯托克斯激光器性能的影响。并用实验数据对归一化理论进行了验证, 结果表明, 从归一化理论出发所估计出的内腔式反斯托克斯激光器的单脉冲能量、脉冲峰值功率和脉冲宽度与实际测量数据相符, 证明了所提的归一化速率方程组模型的正确性和可行性。

Anti-Stokes scattering is the four-wave mixing effect of the frequency up conversion. Generally, the conversion efficiency of the anti-Stokes laser is lower. Therefore, it is particularly important for improving the performance of the laser through guiding experiment of theoretical optimization. In this paper, the rate equations of intracavity anti-Stokes lasers under plane wave approximation are normalized. By numerically solving the normalized rate equations, a group of universal theoretical curves are obtained to describe the operation of the intracavity anti-Stokes lasers. The influences of the compound normalized variables on the performance of the intracavity anti-Stokes lasers are analyzed. The normalized theory is verified with actual experimental data. The result indicates that the single pulse energy, pulse peak power and pulse width of the intracavity anti-Stokes laser estimated from the normalized theory are consistent with the measured data. The proposed normalized rate-equation model is proved correct and feasible.