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基于激光二极管端面泵浦Yb∶YAG棒工作特点的分析,提出了端面绝热、周边恒温的激光晶体热分析模型,采用了一种新的热传导方程求解方法,得到了超高斯光束端面泵浦Yb∶YAG棒温度场的一般解析表达式。同时分析了不同阶次、不同光斑半径、不同功率超高斯光束以及晶体参数改变时对于Yb∶YAG棒温度场分布的影响。研究结果表明,若准直聚焦到Yb∶YAG棒泵浦面42.5W的光束具有4阶超高斯强度分布时,掺Yb3+质量分数为10.0at.%、长度为2.5mm、半径为2mm的Yb∶YAG棒的泵浦面获得74.20℃的最高温升。新的热传导方程求解方法在研究激光棒温度场分布方面具有计算量小、精度高等特点。研究结果对减小激光晶体的热效应,提高全固态Yb∶YAG激光器性能提供了理论依据。
Based on the analysis of laser diode end-pumped Yb: YAG bar working characteristics, a laser crystal thermal analysis model of end-face adiabatic and peripheral thermostat is proposed. A new heat conduction equation solving method is proposed. The super-Gaussian beam end-pumped Yb: YAG rod temperature field of the general analytical expression. The effects of different order, different spot radius, super-Gaussian beams with different powers and the changes of crystal parameters on the temperature distribution of Yb:YAG rods were also analyzed. The results show that if the beam collimated to a 42.5W Yb:YAG rod has a 4-order super-Gaussian intensity distribution, Yb3 + doped Yb3 + mass fraction of 10.0at.%, Length of 2.5mm and radius of 2mm YAG rod pump surface to obtain the highest temperature rise of 74.20 ℃. The new heat conduction equation solving method has the characteristics of small calculation and high precision in the research of temperature field distribution of laser rod. The results provide a theoretical basis for reducing the thermal effect of laser crystals and improving the performance of all-solid-state Yb: YAG lasers.