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稀土Er3+离子以其能级结构丰富、可产生多种辐射波长而受到广泛的研究,在4I11/2态和4I13/2态之间跃迁产生的辐射波长位于2.7～3μm范围内,中心波长2.79μm的激光由于其波长的特殊性,此类激光器在医疗、非线性光学以及军事等方面具有重要的应用价值。选择Er,Yb:GSGG作为产生2.79μm激光的增益介质,通过一组联立速率方程组可以精确地描述其激光特性,在Er3+-Yb3+能级跃迁结构图的基础上,构建了该能级跃迁速率方程理论模型,为研究光场与物质原子体系相互作用提供了有效的方法,且因其简单直观而广泛应用于激光器特性研究中。最后,在此模型基础上进行了一定的数值模拟。
Rare earth Er3 + ions are widely studied because of their energy-rich structure and can generate a variety of radiation wavelengths. The transition wavelengths between 4I11 / 2 state and 4I13 / 2 state are in the range of 2.7 ~ 3μm and the center wavelength is 2.79μm Due to its wavelength specificity, such lasers have important applications in medical, nonlinear optics, and military applications. Choosing Er, Yb: GSGG as the gain medium for generating 2.79μm laser, the laser characteristics can be accurately described by a set of simultaneous rate equations. Based on the Er3 + -Yb3 + level transition structure diagram, this level transition is constructed The theoretical model of velocity equation provides an effective method for the study of the interaction between the light field and the material atomic system, and is widely used in the research of laser characteristics because of its simple and intuitive. Finally, some numerical simulations are carried out on the basis of this model.