为了提高以KGd(WO4)2晶体为拉曼介质的外腔式拉曼激光器的输出功率和转化效率，采用面积求和法编制matlab计算程序，对该激光器的传输耦合方程进行数值求解。计算得到了一至三阶斯托克斯光输出光强随时间的变化规律和受激拉曼散射的弛豫振荡过程。得出: 拉曼谐振腔输出耦合镜对一阶斯托克斯光的反射率越高，拉曼谐振腔内的一阶斯托克斯光功率密度就越高，越有利于泵浦光向二阶斯托克斯光的转换。

In order to increase output power and conversion efficiency of the external resonator Raman laser with KGd(WO4)2 crystal, the radiation transfer equations of the laser system were solved numerically with the method of area summation. The output intensity variation of the first order to the third order Stokes with time and the relaxation oscillation of the Raman laser were obtained. It was found that increasing the reflectivity of the output coupling mirror on the Raman cavity could increase the intracavity intensity of the first order Stokes, which made the energy conversion from the pump laser to the second order Stokes laser easier.