Nd:YAG方形薄片激光器3维温度及热应力的数值模拟
Numerical calculation of distribution of 3D temperature and thermal stress for Nd:YAG square slice laser
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摘要: 在有限差分迭代方法的基础上，利用MATLAB程序模拟计算了在超高斯泵浦光连续作用下Nd:YAG薄片激光器中方形薄片介质的3维瞬态和稳态温度分布。根据热平衡微分方程和热弹性体边界条件，由3维温度分布数值模拟了介质的3维位移和热应力。有限差分迭代方法避免了常规的有限元法需要求解超大稀疏矩阵而导致的占用系统的内存数增加和计算速度等问题。模拟计算得到的介质温度分布和应力分布与实验结果相符合。Abstract: In this paper, based on the iterative method of finite-difference, 3-D instantaneoos and stable temperature distribution of square slice in the Nd:YAG disk laser under super-Gaussian pump light are calculated. Using the thermal balance differential equation and boundary condition of thermal elasticity body, 3-D thermal stress distribution from the 3-D temperature distribution was obtained. The iterative method of finite-difference avoids the problem of solving the super-large sparseness matrix, thus occupies less random memory and calculates faster than the normal finite-element method. The calculated results of temperature and thermal stress distribution in Nd:YAG slice are coincident with the experimental ones.
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