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利用Airy函数代换与传输矩阵方法精确计算了有外加偏压下电子在共振声子太赫兹量子级联激光器有源区单个周期内的透射系数与波函数,得到了不同偏压下的电子波函数分布以及准束缚态能级位置与外加偏压的关系曲线。在仿真计算的基础上设计了一种共振声子太赫兹量子级联激光器的有源区结构。计算结果表明,对于设计的结构,当单个周期两端的外加偏压为45 mV时达到太赫兹工作点。此时,发射区内E3能级和E2能级对应的波函数能够交叠,相应发射波属于太赫兹频段,波长为98.0μm,频率为3.05 THz。电子在弛豫区内E2和E1能级间跃迁发出的能量为36.0 meV,与GaAs的纵向光学声子能量(36 meV)相同,有利于粒子数反转。
Using the Airy function substitution and transfer matrix method, the transmissivity and the wave function of the electrons in the active region of a resonant-phonon terahertz quantum cascade laser with an applied bias voltage are precisely calculated. The electron wave under different bias voltages Function distribution and quasi - bound state energy level position and applied bias curve. Based on the simulation calculation, an active region structure of a resonant phonon terahertz quantum cascade laser is designed. The calculated results show that for the designed structure, the terahertz operating point is reached when the applied bias voltage across the single period is 45 mV. At this time, the wave functions corresponding to the E3 level and the E2 level in the emitting region can overlap, and the corresponding transmitted wave belongs to the terahertz band with a wavelength of 98.0 μm and a frequency of 3.05 THz. The energy of transition between the E2 and E1 energy levels in the relaxation region is 36.0 meV, which is the same as the longitudinal optical phonon energy of GaAs (36 meV), which is beneficial to the inversion of the number of particles.