一种量子级联激光器能带电子温度计算新方法

A new method for calculating electron temperature in subbands of quantum cascade lasers

  • 摘要: 基于电子动能与温度的关系以及费米黄金定律,对速率方程进行了优化,使其能够计算电子温度,进而实现了更为精准的速率方程求解。与已有的动能平衡法比较,该方法对能带电子温度变化过程进行了详细的描述,故无需采用优化算法求解,所以可以避免因陷入局部最优解而带来的多次计算的收敛值一致性较差的问题。计算结果表明,该方法在选取不同的初始温度时,通过自洽求解,即可解出各能级电子温度,且均可获得一致性较好的收敛值。

     

    Abstract: Quantum cascade laser is a newly developed important medium and far infrared laser source. In view of the important parameter of energy band electron temperature in the research and design of quantum cascade lasers, based on the relationship between electron kinetic energy and temperature and Fermi Golden Rule, this paper optimizes the rate equation so that it can calculate the subband electron temperature, thus achieving a more accurate solution of the rate equation. The calculation results show that compared with the existing kinetic energy balance method, this method describes the process of electron temperature change in the energy band in detail, and there is no need to use the optimization algorithm for a solution. When different initial temperatures are selected, the electron temperature of each energy level can be solved by self-consistent solution, and the convergence value with good consistency can be obtained. The results show that the deviation of the convergence value of electron temperature from the mean value is less than 8%, and the deviation of scattering rate is less than 1.6%. This study provides a new method for the design and research of quantum cascade lasers.

     

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