运用功能梯度结构降低大功率激光系统中镜面热变形的数值分析

Numerical analysis of reduction of thermal deformation of mirrors in high power laser systems by functionally graded material

提出一种运用功能梯度结构以有效降低大功率激光系统中镜子温度和镜面热变形以及减缓热应力的新方法。讨论了环形分布和高斯分布2种类型的激光源。有限元分析结果表明,通过这种方法可使硅镜和铜镜的表面热变形成倍降低,并且还能同时显著降低镜体温度。讨论了代表热学和力学性质的函数表达式的斜率对镜面热变形的影响,研究表明:功能梯度结构的热物理对镜面形变产生重大影响,而力学性质对镜面形变的影响非常小。该结论可为具有该功能梯度结构的镜子优化设计和制造提供参考。

In this paper, a new method is proposed to effectively lower the high temperature, smooth the thermal stress and reduce the thermal deformation of mirrors in high power laser systems utilizing functionally graded materials （FGMs）. Two kinds of laser source are discussed at the same time. One is the doughnut-shaped laser, and the other is the Gaussian-distributed laser. Numerical results from finite element analysis show that the thermal deformation of silicon and copper mirrors can be much reduced in magnitude, and the temperature rise is also lowered obviously by this means. The effects of slope regulation of the functions for representation of thermophysical and mechanical properties on thermal deformation of mirrors are discussed to meet the requirement of optimum design and manufacture of FGM mirrors for the future.