摘要
为了计算二极管抽运Nd∶YAG晶体温度场及热形变场,建立了端面绝热、周边恒温的晶体热模型。基于Nd∶YAG晶体导热系数及热形变系数与其温度的函数关系,应用Newton切线法对热传导方程进行求解,得到了变导热系数和变热形变系数矩形截面Nd∶YAG晶体端面抽运下的温度场和热形变场的一般表达式,同时计算了Nd∶YAG晶体在不同抽运功率和抽运光斑半径下内部温度场和热形变场的分布变化。结果表明,使用钕离子质量分数为0.01、尺寸为3mm×3mm×8mm的Nd∶YAG晶体,在功率为60W、光斑半径为450μm的抽运光照射下,变导热系数的Nd∶YAG晶体端面最大温升为55.7℃,最大热形变量为2.85μm,而按传统将Nd∶YAG晶体导热系数、热形变系数均视为定值时,晶体端面最大温升为43.4℃,端面最大热形变为2.84μm。
In order to calculate temperature field and thermal distortion field of laser diode end-pumped Nd： YAG crystal, the temperature thermal model of the crystal was built under the condition of thermal isolation of the end face and constant peripheral temperature. Based on the function of temperature of the Nd：YAG crystal depending upon the thermal conductivity and thermal distortion coefficient, after the thermal model of heat conduction equations were solved by means of the Newton tangent method, the general equations of the temperature field and thermal distortion field of the end-pumped rectangular cross section Nd：YAG crystal with variable thermal conductivity and thermal distortion coefficient were obtained. Then the internal temperature field distribution and thermal distortion field were calculated under different of pump power and pump spot size. Results show that under the condition of 0.01 Nd ion mass fraction, 60W pump power and 450 p.m pump spot radius, the maximum temperature rise on the end face of the Nd：YAG crystal in 3mm × 3mm × 8mm was 55.7℃ , and the maximum thermal distortion was 2. 85μm. However, traditionally the thermal conductivity and thermal distortion coefficient were taken as constant, the maximum temperature rise on the end face of the Nd：YAG crystal was 43.4℃ and the maximum thermal distortion was 2. 841μm.
出处
《激光技术》
CAS
CSCD
北大核心
2012年第5期612-616,共5页
Laser Technology
基金
西安市科技局创新支撑计划资助项目(CXY1015(6))
陕西省教育厅专项科研计划资助项目(11JK0532)
