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抽运波长为0.98μm时,考虑合作上转换、交叉弛豫、激发态吸收等上转换机理给出了掺Er及Yb-Er共掺系统的速率方程,并利用二维波导的有限元理论及包含正反向放大的自发辐射的场传输方程,建立了一套分析光波导放大器增益特性的综合理论模型。得到掺Er及Yb-Er共掺Al2O3光波导放大器增益与波导长度、抽运功率、掺杂浓度等多个参量的关系,绘制出具有实用性的优化设计曲线。将该理论模型应用于实际制作的Yb-Er共掺Al2O3光波导放大器,结果与实验数据相符。
When the pumping wavelength is 0.98μm, the rate equations of Er-doped and Yb-Er co-doped systems are given considering the up-conversion mechanisms such as upconversion, cross relaxation, and excited state absorption. Based on the 2D finite element theory and The field propagation equations of spontaneous emission with positive and negative amplifications are established. A set of theoretical models for analyzing the gain characteristics of optical waveguide amplifiers are established. Obtained Er and Yb-Er co-doped Al2O3 optical waveguide amplifier gain and waveguide length, pumping power, doping concentration and other parameters of the relationship, draw a practical optimization of the design curve. The theoretical model is applied to the Yb-Er co-doped Al2O3 optical waveguide amplifier actually fabricated. The results are consistent with the experimental data.