介绍了一个结合速率方程、泵浦光功率和输出激光功率的轴向微分方程以及温度的径向微分方程的碱金属蒸气激光器的物理模型.在充分考虑泵浦光和激光光斑半径的轴向分布以及它们光强的径向分布的基础上, 模型再现了实验测量得到的有激光输出与无激光输出情况下蒸气池内的峰值温度, 对应50 W、220 W和370 W的泵浦光, 在有激光输出情况下的峰值温度分别为346℃、480℃和696℃; 在没有激光输出条件下的峰值温度分别为321℃、414℃和609℃, 总体温度曲线与实验一致.模型计算所得的猝灭的产热量在有激光输出时占总产热量的85%左右, 在无激光输出时则占95%以上, 这是因为猝灭涉及的跃迁能级的能级差较大, 且所占热源区域较宽, 能在更大的范围内产生热量, 因此猝灭在温度计算中非常重要, 不可忽略.

A physical model of diode-pumped alkali vapor lasers, which combines the rate equations of population densities, the axial differential equations of pump and laser power, the radial differential equation of temperature, is reported in this paper. Taking into account the measured distributions of the pump and laser beam radii and the hypothetical distributions of the intensities, this model not only reproduces the observed peak temperature of 346℃, 480℃ and 696℃, which respectively correspond to pump powers of 50 W, 220 W and 370 W for the lasing condition, but also reproduces the observed peak temperature of 321℃, 414℃ and 609℃ corresponding to the same pump powers for the non-lasing condition. A wide region of heat source density of quenching is observed. For the lasing condition, quenching contributes approximately 85% of the total heat energy, whereas for the no-lasing condition it occupies over 95%, showing that quenching is very important and non-ignorable in temperature calculation.