共振光子准晶体和非周期结构
Resonant Photonic Quasicrystalline and Aperiodic Structures
摘要：
我们从理论上研究了激子-极化激元在确定性非周期多量子阱结构中的传播，特别是在Fibonacci和Thue-Morse链中的传播。注意力集中在二维量子阱激子调谐到共振布拉格条件的结构上。超辐射或光子准晶体制度在这些结构中实现取决于井的数量。开发的理论的基础上的两波近似允许一个解析描述的精确的传输矩阵计算的透射率和反射率光谱在整个频率范围内，除了一个狭窄的区域附近的激子共振。在这个区域中的光谱和激子极化激元色散表现出标度不变性和自相似性，这可以解释的“带边”周期的轨迹图，在斐波那契结构的情况下，和零反射频率的情况下，Thue-Morse结构。
英文摘要：
We have theoretically studied propagation of exciton-polaritons in deterministic aperiodic multiple-quantum-well structures, particularly, in the Fibonacci and Thue-Morse chains. The attention is concentrated on the structures tuned to the resonant Bragg condition with two-dimensional quantum-well exciton. The superradiant or photonic-quasicrystal regimes are realized in these structures depending on the number of the wells. The developed theory based on the two-wave approximation allows one to describe analytically the exact transfer-matrix computations for transmittance and reflectance spectra in the whole frequency range except for a narrow region near the exciton resonance. In this region the optical spectra and the exciton-polariton dispersion demonstrate scaling invariance and self-similarity which can be interpreted in terms of the ``band-edge'' cycle of the trace map, in the case of Fibonacci structures, and in terms of zero reflection frequencies, in the case of Thue-Morse structures.
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