运用非线性光学的和频理论推导出被动调Q腔内和频拉曼激光器速率方程理论中的和频项, 在被动调Q拉曼激光器速率方程的基础上, 推导被动调Q腔内和频拉曼激光器速率方程, 再将方程归一化, 得到八个综合参量。推导出和频脉冲峰值功率和单脉冲能量的归一化表达式。数值模拟观察各参量对和频脉冲峰值功率、单脉冲能量和脉冲宽度的影响。对各参量影响进行分析, 发现和频因子与归一化拉曼增益系数需要相互匹配才能实现高效率的和频光输出。同时, 比较了被动调Q腔内和频拉曼激光器与被动调Q腔内倍频拉曼激光器的数值模拟结果。

Sum-frequency term of the rate equation theory of passively Q-switched intracavity sum-frequency Raman laser was derived from the sum-frequency theory. Based on rate equations of passively Q-switched Raman laser, passively Q-switched intracavity sum-frequency laser rate equations were derived and normalized, and eight comprehensive parameters were obtained. The normalized expression of the peak power and the single pulse energy were derived. The influence of these comprehensive parameters on the peak power, the energy of single pulse and the pulse duration was observed by numerical simulation. The influences of each parameter were analyzed, and it was found that the sum-frequency factor and the normalized Raman gain coefficient need to be matched with each other to achieve the high efficiency output of the sum-frequency. Finally, the numerical simulation results of passively Q-switched intracavity sum-frequency Raman laser rate equations were compared with those of passively Q-switched intracavity frequency doubling Raman laser rate equations.