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摘要:为了实现 二极管端面泵浦Nd：YAG晶体温度场的精确计算，在晶体端面导热边界条件下建立热模型。首先根据热传导方程，以解析分析理论为基础，应用常数变易法和特征函数法，在考虑晶体端面存在热交换情况下，计算得到808 nm 泵浦Nd：YAG圆棒晶体的温度场分布，分析了泵浦 功率、光束半径及超高阶次等因素对晶体温度场分布的影响。分析结果表明：当功率为60 W、光斑半径为0.4 mm的泵浦光作用于半径为1.5 mm，长度为5 mm的Nd：YAG圆棒晶体时，该晶体内部最高温升出现在泵浦端面中心处，最高温升为426.3 K，得到晶体的热透镜焦距为272.98 mm。由于在计算中考虑了空气的导热作用对晶体温度场分布的影响，更符合实际情况，因此结果能更真实反映晶体内部温度场的分布情况。本文研究为精确分析相关 晶体的温度场分布提供了指导，并为 器性能的优化提供了理论依据。
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关键词:
- /
- 晶体温度场/
- 解析法/
- Nd:YAG圆棒晶体/
- 热效应
Abstract:A thermal model was established under air conduction boundary conditions in order to accurately obtain the temperature distribution of an Nd:YAG rod crystal end-pumped with a laser diode. Firstly, the crystal's temperature distribution was calculated through analytical theory on the basis of the heat conduction equation. The crystal was operated with a pump diode laser incident center operating at a wavelength of 808 nm. Secondly, the influences of the pump laser parameters, including power, beam radius and orders of super Guass were quantitatively analyzed. The results indicate that the maximum temperature rise is located at the center of the pump end and its value can rise to 426.3 K when an Nd:YAG rod crystal with length of 5 mm and a radius of 1.5 mm is pumped by a 808 nm laser with 60 W power and spot radius of 400 μm. The thermal focal length of the crystal is 272.98 mm. The effects of the thermal air transfer on the temperature field distribution of the crystal are considered and the results are therefore more accurate. This research can provide a method for further precise analysis of the temperature field distribution of other laser crystals and lays a theoretical foundation for the optimization of laser performance.-
Key words:
- laser/
- crystal temperature field/
- analytic method/
- Nd:YAG rod crystal/
- heat effect
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图 1 二极管端面泵浦Nd:YAG圆棒晶体结构图
Figure 1.Schematic diagram of Nd:YAG rod crystal end-pumped by LD
图 3不同泵浦光功率的Nd:YAG晶体温度分布
Figure 3.Temperature distributions along Nd:YAG crystal pumped by 808 nm pump laser under different powers
图 4不同光斑半径泵浦光的Nd:YAG晶体温度分布
Figure 4.Temperature distributions of Nd:YAG crystal pumped by 808 nm pump laser under different spot radius
图 5不同超高斯阶次泵浦光的Nd:YAG晶体温度场
Figure 5.Temperature fields of Nd:YAG pumped by 808 nm pump laser with different super-Gaussian orders
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