Novel theoretical model based on rate equations considering re-absorption is set up to deal with the output characteristics of continuous wave (CW) Tm: YAP laser for the first time. Compared with the model that ignore the reabsorption of thulium ion at all (Model 1) or only takes it as a fixed loss (Model 2), the simulation results of the new model (Model 3) can reflect the entire process of reabsorption more accurately and obtain numerical simulation results that are closer to experimental results. Laser characteristics of LD end-pumped CW Tm: YAP crystal is achieved experimentally, which can demonstrate the accuracy of the model. Output power of 7.1 W at 1936 nm is obtained with resonator length of 78 mm under the incident pump power of 27.13 W. While the simulation results on output power of Tm: YAP laser under incident pump power of 27.13 W and cavity length of 78 mm are 17.2 W, 2.76 W, 7.36 W for Model 1, 2, 3. The finding indicates that the new model can evaluate the output performance of Tm: YAP lasers in precise.

首次建立了基于考虑重吸收的速率方程的新颖理论模型来处理连续波（CW）Tm：YAP激光器的输出特性。与完全忽略铥离子重吸收的模型（模型1）或仅将其作为固定损失的模型（模型2）相比，新模型（模型3）的模拟结果可以更准确地反映整个重吸收过程并得到与实验结果较为接近的数值模拟结果。通过实验获得了LD端面泵浦CW Tm:YAP晶体的激光特性，可以证明模型的准确性。入射泵浦功率为27.13 W，谐振腔长度为78 mm，在1936 nm处获得7.1 W的输出功率。而Tm：YAP激光器在入射泵浦功率为27.13 W、腔长为78 mm下的输出功率仿真结果模型1、2、3的功率分别为17.2 W、2.76 W、7.36 W。研究结果表明，新模型可以精确评估Tm：YAP激光器的输出性能。