高功率半导体激光端面泵浦方形掺Nd3+离子激光晶体热形变研究

为了解决高功率半导体激光器端面泵浦激光晶体引起的热效应问题，激光晶体泵浦端面的热形变必须进行准确的计算.通过对于全固态激光器中激光晶体的工作特点分析，建立了矩形截面激光晶体热分析模型.基于热传导方程，提出了泊松方程的一种新解，并获得了矩形截面激光晶体端面热形变分布的一般解析表达式.同时讨论了半导体激光器偏心泵浦激光晶体给端面热形变带来的影响.与有限元分析方法以及其他数值分析方法相比，解析分析方法不会给计算引入任何的误差.热形变的解析分析为解决激光晶体的热效应问题以及提高激光器的性能提供了理论的依据.

Thermal Deformation of a Rectangle Nd-ion Doped Laser Crystal by High Power Diode Laser End-pumped

In order to solve thermal effect of laser crystal induced by high power diode laser end-pumped, the thermal deformation on pump face of laser crystal was exactly calculated. Through work characteristic analysis of laser crystal in diode laser end-pumped all-solid-state lasers, a thermal model of rectangle laser crystal was built. Based on the heat conductive equation, a new solution of Poisson equation was introduced and the general analytical expression of thermal deformation of rectangle laser crystal was obtained. And thermal deformation influenced by diode laser eccentric-end-pumped was investigated. Compared to the finite-element analysis or other numerical solutions, the analytical solution will not produce any calculation error. The analytical solution of thermal deformation will supply a theoretical instruct for solving thermal effect of laser crystal and improving the performance of lasers.