采用有限差分法对使用Cz(Czochralski)法生长Nd:YAG激光晶体过程中熔体和晶体中的温度场进行数值模拟研究。首先给出了Nd:YAG晶体生长系统的数学模型，然后对上述数学模型进行无量纲化处理，最后给出相应的边界条件，使用有限差分法求解上述方程。应用上述方法编制仿真程序，仿真了改变工艺条件后熔体和晶体温度场的变化情况，分析了各种工艺条件对温度场变化的影响。

A numerical simulation study on field of temperature in crystal and melt by using FDM (Finite Differential Method) during the growth of Nd∶YAG crystal by Cz (Czochralski) method was reported. At first, the mathematical model of the growth of Nd∶YAG crystal was given, then the equations with no dimensions were given. Finally, the boundary condition was given and the equations were solved by FDM. The simulation program was given by above method, and then the change of field of temperature in crystal and melt was described by simulation program. The effect of technological conditions on field of temperature in crystal and melt was analyzed.