Numerical calculation of distribution of 3D temperature and thermal stress for Nd:YAG square slice laser

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.