Ioffe Physical-Technical Institute of the Russian Academy of Sciences, St Petersburg 194021, Russia.
J Phys Condens Matter. 2010 Mar 24;22(11):115401. doi: 10.1088/0953-8984/22/11/115401. Epub 2010 Feb 23.
In this work we offer a simple analytical method which allows us to determine and study the effects of the selective switching of photonic stop-bands in multi-component photonic crystals (Mc-PhCs) of any dimensionality. The calculations for Mc-PhCs with low dielectric contrast have been performed in the framework of the model based on the scattering form factor analysis. It has been shown that the effects of selective switching of photonic stop-bands predicted theoretically and found experimentally before in three-dimensional (3D) Mc-PhC have a general character and may be observed also in one-dimensional (1D) and two-dimensional (2D) Mc-PhCs. It is found that 1D, 2D and 3D Mc-PhCs demonstrate unexpectedly similar quasi-periodic behaviour of photonic stop-bands as a function of the reciprocal lattice vector. A proper choice of the structural and dielectric parameters can create a resonance photonic stop-band determining the Bragg wavelengths, to which a photonic crystal can never be transparent.
在这项工作中，我们提供了一种简单的分析方法，使我们能够确定和研究多组分光子晶体（Mc-PhC）中光子带隙的选择性切换的影响。具有低介电对比度的 Mc-PhC 的计算是在基于散射因子分析的模型框架内进行的。结果表明，以前在三维（3D）Mc-PhC 中从理论上预测并在实验中发现的选择性切换光子带隙的影响具有普遍性，并且也可能在一维（1D）和二维（2D）Mc-PhC 中观察到。结果发现，1D、2D 和 3D Mc-PhC 表现出与光子带隙的准周期行为非常相似，作为倒格子矢量的函数。适当选择结构和介电参数可以创建一个共振光子带隙，确定布拉格波长，光子晶体永远不会透明。
