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建立了基于Nd:glass热容激光器的热传导模型,利用半解析热分析理论,对于给定的边界条件和初始条件,分别求解出泵浦阶段和冷却阶段时圆棒Nd:glass晶体的Poisson方程的解,得出圆棒Nd:glass晶体的温度场、形变场以及由端面热形变引起的热焦距、附加光程差的计算公式。研究结果表明:当泵浦总功率为2kW,4阶超高斯分布LD对Nd:glass晶体泵浦4s时,获得泵浦阶段圆棒Nd:glass晶体最高温升67.10℃,最大形变量为35.45μm,中心处附加光程差为5.677μm。冷却阶段圆棒Nd:glass晶体冷却800 s后中心最大热形变量为0.943μm。为优化热容激光器提供了理论依据。
The heat conduction model based on Nd: glass heat capacity laser was established. The semi-analytical thermal analysis theory was used to solve the Poisson’s equation of the Nd: glass crystal in the pump phase and the cooling phase for the given boundary conditions and initial conditions respectively Solution, the temperature field of Nd: glass crystal rod, deformation field and thermal focal length caused by the thermal deformation of the end face, add the calculation formula of optical path difference. The results show that when the pump power is 2kW and the fourth-order super-Gaussian distribution LD pumped Nd: glass crystal for 4s, the maximum temperature rise of the Nd: glass rod in the pump stage is 67.10 ℃ and the maximum deformation is 35.45μm , The center of additional optical path difference of 5.677μm. After cooling for 800 s, the maximum hot deformation of the Nd: glass crystal in the cooling stage was 0.943 μm. It provides a theoretical basis for optimizing heat capacity laser.