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报道了诸如Nd:YAG等的高温氧化物晶体在使用Cz(Czochralski)方法晶体生长过程中温度场的数值模拟研究。在计算温度场的过程中引入了有限差分法(FDM)。首先建立了高温氧化物晶体生长的数学模型,然后给出了无量纲方程,最后确定了边界条件,使用有限差分方法求解了方程,并在此基础上编制了仿真程序。应用上述仿真程序描述了晶体和熔体中温度场的变化情况,分析了工艺条件对晶体和熔体温度场变化的影响。
Reported the numerical simulation of the temperature field of high temperature oxide crystals such as Nd: YAG during crystal growth using the Czochralski method. Finite difference method (FDM) was introduced in the calculation of temperature field. First, the mathematical model of the growth of high temperature oxide crystals was established. Then the dimensionless equations were given. Finally, the boundary conditions were determined. The finite difference method was used to solve the equations. On this basis, the simulation program was compiled. The simulation program is used to describe the changes of the temperature field in the crystal and the melt, and the influence of the process conditions on the temperature field changes of the crystal and the melt is analyzed.