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通过改进的三能级速率方程运用电路建模方法建立了太赫兹(THz)量子级联激光器(QCL,quantum cascade)的一种等效电路模型。模型中,涉及的非辐射散射时间、自激发射弛豫时间以及电子逃逸时间均根据器件有源层结构参数通过自洽数值求解获得。采用该模型可运用通用电路仿真工具实现对THz QCL器件光电特性的模拟仿真,克服了数值分析方法计算复杂,模拟时间长的缺点。运用电路仿真工具PSPICE对3.9THz QCL的稳态特性进行了模拟仿真,并讨论了温度变化对器件阈值电流、增益系数、粒子数反转的影响,其分析结果与已报道的理论和实验结果一致,验证了本方法的适用性和准确性。
An equivalent circuit model of QCL (quantum cascade) laser was established by using improved three-level rate equation and circuit modeling method. In the model, the involved non-radiative scattering time, self-excited emission relaxation time and electron escape time are obtained by self-consistent numerical solution according to the structural parameters of the device active layer. The model can be used to simulate the photoelectric characteristics of THz QCL devices by using general-purpose circuit simulation tools, which overcomes the shortcomings of complex numerical simulation and long simulation time. The circuit simulation tool PSPICE was used to simulate the steady state characteristics of 3.9 THz QCL. The influence of temperature on the threshold current, gain coefficient and the number inversion of the device was discussed. The analysis results were consistent with the reported theoretical and experimental results , Verify the applicability and accuracy of this method.