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为解决激光二极管(LD)端面抽运激光介质产生的热效应问题,建立了端面绝热、周边恒温、界面热流连续的YAG-Nd:YAG复合晶体棒热分析模型。利用特征函数法和常数变异法得到了超高斯光束端面抽运YAG-Nd:YAG复合晶体棒温度场的一般解析表达式。同时定量分析了超高斯抽运光光斑尺寸,光束阶次,YAG晶体长度对YAG-Nd:YAG复合晶体棒温度场的影响。研究结果表明,若LD输出功率为50 W,光学耦合器传输效率为82%,4阶超高斯光束端面抽运YAG-Nd:YAG复合晶体棒时,复合晶体棒内最大温升为132.7℃,其中YAG晶体长为1.5 mm,Nd:YAG晶体长5 mm,钕离子掺杂质量分数为1.0%。研究结果为减小激光晶体热效应、合理设计激光器热稳腔提供了依据。
In order to solve the thermal effect caused by pumping laser medium on the laser diode (LD) end face, a thermal analysis model of YAG-Nd: YAG composite crystal rods with end-face adiabatic, surrounding constant temperature and continuous interface heat flow was established. The general analytic expression of the temperature field of YAG-Nd: YAG composite rod packed by the super-Gaussian beam is obtained by the method of characteristic function and the constant variation method. The effect of the dimension of the pumping beam, the beam order and the length of the YAG crystal on the temperature field of the YAG-Nd: YAG crystal rod were quantitatively analyzed. The results show that when the output power of LD is 50 W and the optical coupler transmission efficiency is 82%, the maximum temperature rise of the YAG-Nd: YAG composite rod is about 132.7 ℃ when the fourth-order super-Gaussian beam face is pumped. The length of YAG crystal is 1.5 mm, the length of Nd: YAG crystal is 5 mm, and the mass fraction of neodymium ion is 1.0%. The results provide the basis for reducing the thermal effect of laser crystal and designing laser thermal stable cavity rationally.