Abstract Actively Q-switched intracavity Raman lasers can generate multi-wavelength infrared laser based on rich modes of crystalline Raman media. Assuming the intracavity photon densities and initial population inversion densities to be of Gaussian spatial distributions, the space-dependent rate equations of actively Q-switched intracavity Raman lasers with two Raman modes are deduced. The rate equations are solved numerically to investigate the influences of normalized variables on pulse energy, peak power, pulse duration, and conversion efficiency of Raman laser outputs, respectively. There are obvious discrepancies between the results of two Raman modes. The dependence of Raman laser conversion efficiency at 1103 nm on normalized initial population inversion density is numerically calculated, the experimental results are consistent with the numerical ones, and the optimum conditions are proposed theoretically in the end.

中文翻译：

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多拉曼模式晶体介质主动调Q红外拉曼激光器的分析

摘要 主动调Q腔内拉曼激光器可以产生基于晶体拉曼介质丰富模式的多波长红外激光。假设腔内光子密度和初始粒子数反转密度为高斯空间分布，推导出具有两种拉曼模式的主动调Q腔内拉曼激光器的空间相关速率方程。通过数值求解速率方程，分别研究归一化变量对拉曼激光输出的脉冲能量、峰值功率、脉冲持续时间和转换效率的影响。两种拉曼模式的结果存在明显差异。数值计算了 1103 nm 处的拉曼激光转换效率对归一化初始粒子数反转密度的依赖性，