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激光二极管(LD)抽运的全固态激光器(DPSSL)应用广泛。抽运光在激光晶体中产生的热效应是影响全固态激光器工作特性的主要因素之一。通常先求解激光晶体中的温度场分布,再对热应变积分计算晶体的热变形量,这是一个既复杂又困难的过程。将求解晶体热传导微分方程与对热应变积分计算晶体热变形量相结合,在圆截面激光晶体侧面恒温、端而绝热的条件下,建立了晶体热变形量满足的微分方程和边界条件,把冗长的两步压缩为简单的一步,并使微分方程大为简化;得到了圆截面激光晶体热变形量的解析解;给出了一个算例。借助数值计算,分析了晶体抽运端热变形最及变形端面曲率半径与抽运光束半径之间的关系。提出的圆截面激光晶体热变形量简便求解方法有一定的通用性。
Laser diode (LD) pumping all-solid-state lasers (DPSSL) are widely used. The thermal effect of pumping light in a laser crystal is one of the main factors that affect the operating characteristics of an all-solid-state laser. It is usually a complicated and difficult process to solve the temperature field distribution in the laser crystal and then calculate the thermal deformation of the crystal by integrating the thermal strain. The heat conduction differential equation of the crystal is combined with the heat distortion integral calculation of the thermal strain. Under the conditions of constant temperature and end and adiabatic condition of the side of the laser crystal, a differential equation and a boundary condition for the heat distortion of the crystal are established, The two-step compression is a simple step and simplifies the differential equation. An analytical solution of the thermal deformation of a circular cross-section laser crystal is obtained. An example is given. By means of numerical calculation, the relationship between the radius of curvature of the most distorted end face and the radius of the pumping beam is analyzed. The proposed simple method for solving thermal deformation of circular cross-section laser crystals has some generality.