Department of Materials Science and Engineering, Institute for Soldier Nanotechnologies, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2011 Nov 4;107(19):193901. doi: 10.1103/PhysRevLett.107.193901. Epub 2011 Nov 2.
Here we demonstrate a novel quantitative procedure to pursue statistical studies on the geometric properties of photonic crystals and photonic quasicrystals (PQCs) which consist of separate dielectric particles. The geometric properties are quantified and correlated to the size of the photonic band gap (PBG) for wide permittivity range using three characteristic parameters: shape anisotropy, size distribution, and feature-feature distribution. Our concept brings statistical analysis to the photonic crystal research and offers the possibility to predict the PBG from a morphological analysis.
在这里，我们展示了一种新颖的定量方法，用于对由分离的介电粒子组成的光子晶体和光子准晶体（PQCs）的几何性质进行统计研究。使用三个特征参数：形状各向异性、尺寸分布和特征-特征分布，对几何性质进行量化，并将其与宽介电常数范围内的光子带隙（PBG）的大小相关联。我们的概念为光子晶体研究带来了统计分析，并提供了从形态分析预测 PBG 的可能性。
