In this communication we investigate the plasmon-polariton spectra of a semiconductor superlattice arranged in a quasi periodic n-i-p-i sequence. The n-i-p-i periodic superlattice consists of alternate layers of n- and p-doped semiconductors, with an insulating material in-between. We use a convenient theoretical model based on a transfer matrix formalism to simplify the algebra, which is otherwise quite involved. The n-i-p-i layers are characterized by a frequency-dependent dielectric function, including effects of retardation. We present numerical results to discuss the fractal aspect of the spectra as well as their localization and scaling behavior. We show that the total allowed bandwidth of the plasmon-polariton spectrum Delta scales as the power law Delta similar to (2(n) + 1)(-delta). (C) 2001 Elsevier Science Ltd. All rights reserved. References: 24
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机译：在这篇通讯中，我们研究了以准周期性n-i-p-i序列排列的半导体超晶格的等离子体-极化激元谱。n-i-p-i 周期性超晶格由 n 和 p 掺杂半导体的交替层组成，中间有绝缘材料。我们使用一个基于传递矩阵形式主义的方便理论模型来简化代数，否则代数会非常复杂。n-i-p-i层的特征在于与频率相关的介电函数，包括延迟效应。我们提出了数值结果，以讨论光谱的分形方面以及它们的定位和缩放行为。我们表明，等离激元-极化激元谱Delta的总允许带宽缩放为类似于（2（n）+1）（-delta）的幂律Delta。（C） 2001 Elsevier Science Ltd.保留所有权利。[参考文献： 24]
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