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在分析了端面泵浦、周边冷却的固体激光棒内生热及致冷机制的基础上，将轴对称系统内的热传导问题简化为仅考虑径向热流的一维方程，并推导出“大礼帽”型光束泵浦及高斯光束泵浦两种情况下激光棒内温度分布的表达式。结果表明，在同样的光束尺寸下，利用高斯光束泵浦将导致棒内更加剧烈和更加不均匀的温度变化。文中对讨论进行了无因次处理，以使所获得的结论能够适用于不同的激光材料。
Based on the analysis of the endothermic and cooling mechanism of the end-pumped and peripheral cooled solid-state laser rods, the heat conduction problem in the axisymmetric system is simplified to a one-dimensional equation that only considers the radial heat flow and the “top hat ”Type beam pumping and Gaussian beam pumping two cases under the laser rod temperature distribution of the expression. The results show that with the same beam size, pumping with a Gaussian beam will result in more intense and more non-uniform temperature changes in the rod. In the paper, the discussion is carried out without any treatment, so that the conclusion can be applied to different laser materials.