The correct accounting for thermal effects is always a challenge when one needs to make quantitative predictions for any laser applications. In such complicated devices as quantum cascade lasers temperature strongly affects the operational conditions preventing reaching the CW mode as well as effective device performance in pulsed regime. Rate equations are the most effective and simple way to model lasing dynamics. However the conventional approaches operate under the mean-field approximation, considering finite number of population levels and generalizing the obtained results to the infinite number of cascades. The last may lead to unavoidable non-physical results and difficulties in making quantitative predictions. In this work we modify the conventional three-level rate equation approach by adding self-heating description and applying it to the calculation of QCL dynamics. As a result we disclose the importance of temperature affecting the threshold characteristics and build-up time and include electronic aspects to the description of QCL.
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