论文标题
散装半导体的光学增益系数的分析表达式的推导
Derivation of analytical expressions for optical gain coefficient in bulk semiconductors
论文作者
论文摘要
提出了一个分析模型,以通过使用特殊功能来确定半导体光学增益系数的表达。这些表达式与标准数值计算方法不同,它们涉及多组载体和不完整的γ函数的总和。此处介绍的计算结果之一再现了研究中开发的公式。此处获得的新公式提供了一种足够的方法来计算半导体激光器总载体密度和温度的半导体光学增益。获得的分析表达对半导体增益函数进行了准确,精确的评估。提议公式的性能通过其实现参数的不同值确认。其他文献数据证实了该方法获得的足够结果。
An analytical model is proposed to determine the expressions of the semiconductor optical gain coefficient by using the special functions. These expressions differ from the standard numerical calculations approaches and they involve sums of the polylogarithm and incomplete gamma functions. One of the calculation results presented here reproduces formulae developed in the study. The new formulae obtained here provide a sufficient way to calculate the semiconductor optical gain on the total carrier density and temperature in the semiconductor lasers. The obtained analytical expression gives an accurate and precise evaluation of the semiconductor gain function. The performance of the proposed formula is confirmed by its implementation of the different values of the parameter. The sufficiency obtained results of this approach was confirmed by the other literature data.