Complete rate equation modelling of quantum cascade lasers for the analysis of temperature effects

The effect of temperature on the dynamics of a GaAs-based quantum cascade laser (QCL) is analysed using a complete rate equation model. The analytical expressions for the threshold current density and the output power are derived using the model and the thermal behaviour of these parameters is examined. A better conformity of the threshold current density with experiment at higher temperatures is achieved. The effect of temperature on the 3 dB optical bandwidth is further investigated using the same model. A comparative analysis of the model is performed with the recently reported rate equation models. It is observed that the 3 dB optical bandwidth falls more rapidly at higher operating temperatures that highlight the effects of leakage and backscattering processes present in the device.