Weng Yi, Wang Zhi-Guo, Chen Hong
Pohl Institute of Solid State Physics, Tongji University, Shanghai 20092, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 2):046601. doi: 10.1103/PhysRevE.75.046601. Epub 2007 Apr 2.
We study the band structures of one-dimensional (1D) photonic crystals (PCs) in the subwavelength limit. A "spatial-averaged single-negative" (SASN) gap whose edges correspond to zero (volume) averaged permittivity (epsilon=0) and zero (volume) averaged permeability (micro=0) will appear when metamaterial is included in the PC. Unlike the Bragg gap, the frequency range of the SASN gap is invariant to the geometrical scaling and insensitive to the incident angle and disorder. In the subwavelength limit, both the zero-n gap in the left-handed 1D PC and the zero-effective-phase gap in the single-negative 1D PC can be understood as SASN gaps. When the subwavelength condition is not fulfilled, the zero-n gap and zero-effective-phase gap begin to act differently.
我们研究了亚波长极限下一维（1D）光子晶体（PCs）的能带结构。当光子晶体中包含超材料时，会出现一种“空间平均单负”（SASN）带隙，其边缘对应于零（体积）平均介电常数（ε = 0）和零（体积）平均磁导率（μ = 0）。与布拉格带隙不同，SASN带隙的频率范围对于几何缩放是不变的，并且对入射角和无序不敏感。在亚波长极限下，左手性一维光子晶体中的零n带隙和单负一维光子晶体中的零有效相位带隙都可以理解为SASN带隙。当不满足亚波长条件时，零n带隙和零有效相位带隙开始表现出不同的行为。
