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为了解决LD泵浦YAG-Nd:YAG复合晶体的热效应问题,建立了端面绝热、周边恒温的YAGNd:YAG复合晶体热模型。考虑到YAG-Nd:YAG复合晶体热传导系数是随温度变化的函数,利用解析方法与Newton切线法相结合的方法对热传导方程进行求解,得到了LD端面泵浦YAG-Nd:YAG复合晶体变热传导系数情况下温度场的一般表达式。定量计算了泵浦光功率、光斑半径对温度场分布的影响。研究结果表明:在将Nd:YAG晶体的热传导系数视为定值13W·m-1·K-1时,使用60W LD端面中心入射YAG-Nd:YAG复合晶体时(未掺杂Nd3+的YAG段长度2mm,Nd:YAG段掺Nd3+质量分数1.0%),晶体内部的最大温升为20.3℃;而将热传导系数视为随温度变化的函数时,晶体内部的最大温升为26.1℃。研究结果为正确计算YAGNd:YAG复合晶体温度场分布提供了方法,并为合理设计谐振腔提供了理论依据。
In order to solve the thermal effect of LD pumped YAG-Nd: YAG composite crystals, a YAGNd: YAG composite crystal thermal model with end-face adiabatic and surrounding thermostat was established. Considering that the thermal conductivity of YAG-Nd: YAG composite crystal is a function of temperature, the thermal conduction equation is solved by the method of analytical method and Newton’s tangent method. The thermal conductivity of YAG-Nd: YAG composite crystal The general expression of the temperature field in the case. The influence of pump power and spot radius on the temperature distribution is calculated quantitatively. The results show that when YAG-Nd: YAG composite crystal is implanted with a 60 W LD end-face centered on the thermal conductivity of Nd: YAG crystal as a fixed value of 13 W · m-1 · K-1 Length of 2mm, Nd: YAG doped Nd3 + mass fraction of 1.0%), the maximum temperature inside the crystal is 20.3 ℃; and the thermal conductivity as a function of temperature changes, the maximum temperature inside the crystal is 26.1 ℃. The results provide a method for the correct calculation of the temperature field distribution of YAGNd: YAG composite crystals, and provide a theoretical basis for the rational design of the resonant cavity.