速率方程是研究半导体激光器瞬态过程的理论工具.为了能对实际中各种调制响应进行分析,采用小信号近似法求解了在任意调制信号下半导体激光器的速率方程.得到了任意调制信号下半导体激光器的速率方程的实值解析解,并根据得出的实值解析解分析了半导体激光器的一些调制响应特性,给出了一个调制信号为矩形脉冲电流的具体实例.最后研究并得出了小信号近似法准确的严格条件.根据一些半导体激光器的实际参数,给出了该条件在某些情况下的近似表达.
The rate equations are theoretical tools for research of the transient process of semiconductor lasers. Under the arbitrary intensity modulation, the rate equations were solved by using the small-signal approximation in order to analyze some properties of modulation response. The real and analytic solutions of the rate equations were obtained in these circumstances. And a specific example was given in which the modulation signal is a rectangular pulse current. Some properties of the modulation response were analyzed by the real and analytic solutions. The rigorous conditions of accuracy of the small-signal approximation were obtained. The approximate expressions of these conditions in some circumstances were obtained by the parameters of some semiconductor lasers.
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