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以解析热分析理论为基础,建立了平板Nd:YAG、Nd:YVO4和Nd:GdVO4晶体在激光二极管阵列端泵抽运时的导热微分方程。通过方程求解,得到三种晶体内部温度场和热形变分布的解析式。温度场和热形变场的数值模拟表明:当泵浦光功率Po=30 W、泵浦区域为0.5 mm×0.5 mm时,三种激光晶体的一维温度场、二维温度场分布和热形变量有较大差异。通过对比三种激光晶体的温度分布、相对温升和热形变量,得到了Nd:GdVO4晶体作为中小功率激光晶体是优于Nd:YVO4和Nd:YAG两种晶体的,而Nd:YVO4又优于Nd:YAG晶体。温度场和热形变量数值模拟的结果也可为激光器谐振腔的设计及热效应的消除提供理论依据。
Based on the analysis of thermal analysis theory, the differential thermal conduction equations of the Nd: YAG, Nd: YVO4 and Nd: GdVO4 crystal plates at the pump end of laser diode array were established. Through the solution of the equation, the analytical expressions of the temperature field and the thermal deformation distribution of the three kinds of crystals are obtained. The numerical simulation of temperature field and thermal deformation field shows that when the pump power is Po = 30 W and the pump area is 0.5 mm × 0.5 mm, one-dimensional temperature field, two-dimensional temperature field distribution and thermal deformation Variables are quite different. By comparing the temperature distribution, relative temperature rise and thermal deformation of three kinds of laser crystals, Nd: GdVO4 crystals are better than Nd: YVO4 and Nd: YAG crystals for medium and small power laser crystals, while Nd: YVO4 is superior Nd: YAG crystal. The results of numerical simulation of temperature field and thermal deformation can also provide theoretical basis for the design of laser cavity and the elimination of thermal effect.