推导了在连续抽运和脉冲抽运条件下 ,利用荧光衰减曲线 ,在双掺与单掺晶体中 ,激发态布居数与激活离子掺杂浓度的关系 ,分析了四能级系统与准四能级系统中激活离子最佳掺杂浓度的计算方法 .并利用上述方法 ,以准四能级系统Tm ,Tb :LiYF4 和四能级系统Nd :YAG为例 ,计算了相应离子的最佳掺杂浓度 ,并与文献的有关报道进行了比较 The relationship between the number of excited states and the doping concentration of activated ions in double-doped and single-doped crystals under the condition of continuous pumping and pulse pumping is deduced. The relationship between the four-level system and quasi-four In this paper, taking the quasi-four-level system Tm, Tb: LiYF4 and the four-level system Nd: YAG as an example, the optimal doping concentration of the corresponding ions is calculated Miscellaneous concentrations, and with the relevant literature reports were compared