Al/sub -x/ Ga/sub - 1-x/As合金的光学常数建模

A. Rakić, A. Djurišić, E. H. Li, M. Majewski
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引用次数: 13

摘要

用类高斯展宽函数代替洛伦兹展宽函数对Adachi模型进行扩展,对Al/sub -x/ Ga/sub - 1-x/As合金的光学介电函数进行了建模。类高斯展宽是通过将洛伦兹线形中的阻尼常数替换为频率相关表达式来实现的。以这种方式,模型的解析公式的相对简单性得以保留,而精度变得与更复杂的模型和/或具有更多参数的模型相当。所采用的模型准确地描述了整个合金成分范围内1.5 ~ 6.0 eV光谱范围内的光介电函数。所得折射率的相对均方根误差在2.2%以下。
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Modeling the optical constants of Al/sub x/Ga/sub 1-x/As alloys
Extension of Adachi's model with a Gaussian-like broadening function instead of a Lorentzian one is used to model the optical dielectric function of the alloy Al/sub x/Ga/sub 1-x/As. Gaussian-like broadening is accomplished by replacing the damping constant in the Lorentzian line shape with a frequency dependent expression. In such a manner, the comparative simplicity of analytic formulae of the model is preserved, while the accuracy becomes comparable to more intricate models, and/or models with a significantly greater number of parameters. The employed model describes accurately the optical dielectric function in the spectral range from 1.5 to 6.0 eV in the entire alloy composition range. Relative rms error obtained for the refractive index is below 2.2% for all compositions.
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