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立足于Yb离子能级结构、谐振腔增益损耗和布居数分配情况,利用爱因斯坦辐射理论和速率方程理论,建立了适合Yb3+离子激光的准三能级理论模型.该模型引入有效腔长增益贡献因子对腔内光强进行了从头计算,获得了阈值方程.利用此模型与Yb激光的实验结果相比较,发现有效腔长对增益的贡献可以改变腔内损耗和粒子数反转的概率,也继而影响激光阈值和输出功率效率.应用于LD端抽运Yb3+:YVO4激光实验中,在971nmLD抽运,有效晶体长度L=1mm,输出镜透过率对激光波长1016nm为1%条件下,获得阈值为1.1W;有效晶体长度L=2mm,输出镜透过率为10%条件下,阈值获得为3.9W.
Based on the Yb ion level structure, the gain loss of the resonator and the population distribution, a quasi-three-level theoretical model suitable for the Yb3 + ion laser was established by using the Einstein radiation theory and the rate equation theory. The model introduces the effective cavity length gain Contribution factor is used to calculate the light intensity in the cavity ab initio and the threshold equation is obtained.Compared with the experimental results of Yb laser, the contribution of effective cavity length to gain can change the probability of cavity loss and particle inversion, But also affect the laser threshold and output power efficiency.Applied to the LD end pumping Yb3 +: YVO4 laser experiment, pumping in 971nmLD, the effective crystal length L = 1mm, the output mirror transmittance of 1016nm laser wavelength of 1% The threshold was obtained for 1.1 W; the effective crystal length was L = 2 mm and the output of the output mirror was 10%, the threshold was obtained as 3.9W.