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为解决激光器非线性频率变换时非线性晶体的热效应问题,解析地研究了激光器谐振腔内多模振荡状态下非线性晶体的温度分布。通过对激光器腔内模特点分析,得出了谐振腔归一化的多模光束表达式。基于非线性晶体腔内变频工作状态分析,建立了非线性晶棒热分析模型,采用一种新的热传导方程求解方法,得到了非线性晶棒多模变频工作状态下温度场的一般解析表达式。同时分析了激光器腔内基波功率、光斑半径对非线性晶棒温度场分布的影响。研究结果表明,若腔内多模激光功率为500W、光束腰半径为80μm时,KTP晶棒内最高温升为126.3℃。研究对于减小非线性晶体温升引起的相位失配以及提高激光器谐波转换效率将起理论指导作用。
In order to solve the problem of thermal effect of non-linear crystal in non-linear frequency conversion of laser, the temperature distribution of nonlinear crystal in multi-mode oscillation in laser resonator was analyzed analytically. The normalized multimode beam expression of the resonant cavity is obtained by analyzing the mode point in the laser cavity. Based on the working condition analysis of nonlinear crystal cavity frequency conversion, a nonlinear crystal rod thermal analysis model was established and a new analytical solution of heat conduction equation was established. The general analytical expression of temperature field under the condition of nonlinear crystal rod multimode frequency conversion was obtained. . At the same time, the influence of fundamental power and spot radius in laser cavity on the temperature field distribution of nonlinear ingot was analyzed. The results show that if the cavity multimode laser power 500W, beam waist radius of 80μm, KTP ingot maximum temperature rise 126.3 ℃. The research will play a theoretical guiding role in reducing the phase mismatch caused by nonlinear crystal temperature rise and improving the harmonic conversion efficiency of the laser.