Barabanenkov Yurii N, Barabanenkov Mikhail Yu
Institute of Radioengineering and Electronics RAS, Moscow, Russia.
J Opt Soc Am A Opt Image Sci Vis. 2006 Mar;23(3):581-5. doi: 10.1364/josaa.23.000581.
The lowest (main) and high-order Mie resonances and the Bragg-like multiple scattering of electromagnetic (EM) waves are determined as three mechanisms of formation and frequency position of two opaque bands, with narrow peaks in one of the bands in the transmission spectra of 2D photonic crystals composed of dielectric cylinders arranged parallel to the EM wave's electric vector in the square lattice. The main Mie resonance in a single cylinder defines the frequency position of the main gap whose formation results from the Bragg-like scattering. An additional gap with narrow transmission peaks opens in the spectrum of a cylinder layer and becomes pronounced with the number of layers. It is argued that higher-order Mie resonances are responsible for the transmission peaks within the additional band of a perfect crystal. It is shown that 2D photonic crystals with a filling factor ranging from 3% to 20% at a fixed crystal period may be a good zero approximation to study wave transmission through a localizing 2D dense random medium slab.
最低（主要）和高阶米氏共振以及电磁波的类布拉格多重散射被确定为二维光子晶体透射谱中两个不透明带的形成机制和频率位置，这两个不透明带中的一个带在由平行于方格中电磁波电矢量排列的介质圆柱体组成的二维光子晶体的透射谱中具有窄峰。单个圆柱体中的主要米氏共振定义了主要带隙的频率位置，该带隙的形成是由类布拉格散射引起的。在圆柱体层的光谱中出现了一个带有窄透射峰的附加带隙，并且随着层数的增加而变得明显。有人认为，高阶米氏共振是完美晶体附加带内透射峰的原因。结果表明，在固定晶体周期下，填充因子在3%到20%之间的二维光子晶体可能是研究波通过局部二维密集随机介质平板传输的良好零近似。
