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采用有限元分析法解决了太赫兹量子级联激光器(THz QCL)有源区模拟问题。由于InP基差频THz QCL有源区为千层纳米结构,无法拆分实验探索,因此模拟分析显得尤为必要。首先列出有源区量子结构的薛定谔方程,而后采用Galerkin有限元法改写薛定谔方程,再根据连续性和边界条件,得到本征值矩阵方程,最后采用Matlab写出运算程序求解本征值矩阵方程,求出波函数。针对不同有源区量子结构,设定材料、组分、厚度和周期数及外加偏压等参数,即可得到波函数模方、能级、频率和波长等模拟结果。选取InP基差频THz QCL结构进行验证,结果表明此模型切实可行,其拓展应用也可以解决GaAs THz QCL模拟问题。
Finite element analysis is used to solve the THz QCL active region simulation problem. As the InP base-band difference THz QCL active area is a mesa nanometer structure, the experimental exploration can not be separated, so the simulation analysis is especially necessary. Firstly, the Schrödinger equation of the quantum structure of the active region is listed, then the Galerkin finite element method is used to rewrite the Schrödinger equation, then the eigenvalue matrix equation is obtained according to the continuity and the boundary conditions. Finally, the operator program is written to solve the eigenvalue matrix equation , Find the wave function. According to the quantum structure, material, composition, thickness, number of cycles and applied bias in different active regions, the simulation results of the mode function, energy level, frequency and wavelength can be obtained. The results show that this model is feasible and can be used to solve the GaAs THz QCL simulation problem.