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在分析了纵向泵浦、周边致冷固体激光棒内加热及冷却机理的基础上 ,将热传导方程简化为一维形式 ,求解出以级数方式表达的棒内温度分布 ,获得了激光棒中热致应力场和应变场。考虑热色散、热致应力双折射和端面变形 ,推导出纵向泵浦固体激光棒有效热焦距的解析表达式。将所获结果运用于常用的激光晶体 Nd∶ YAG,发现当使用 1 0 W半导体激光器泵浦时 ,所产生的有效热焦距在毫米量级。
Based on the analysis of the mechanism of heating and cooling in longitudinal pumped and peripheral cooling solid-state laser rods, the heat conduction equation is simplified to one-dimensional form and the temperature distribution in the rods expressed in series is solved. Induced stress and strain fields. Considering thermal chromatic dispersion, thermal stress birefringence and the deformation of the end face, an analytical expression of the effective thermal focal length of the longitudinal pumped solid-state laser rod is deduced. The results obtained apply to the commonly used laser crystal Nd: YAG and found that when a 10 W semiconductor laser is used for pumping, the effective thermal focal length produced is on the order of millimeters.