含奇异材料的掺杂一维光子晶体色散关系和空间局域度理论

给出了描述掺杂的一维光子晶体结构缺陷态的变化规律及其空间局域度特性的理论表达式.该式对由具有任意色散关系材料组成的、中间掺杂、两边对称的一维光子晶体结构均成立.通过研究含奇异材料的光子晶体组态发现，当缺陷层材料为右手材料时，光子带隙中缺陷态的频移方向随缺陷层厚度的增大而红移；当缺陷层材料是左手材料时，频移方向刚好相反，表现为蓝移.该缺陷态的空间局域度只与两边对称结构有关.两边对称结构含奇异材料的光子晶体的缺陷态比传统右手材料的结构具有更强的空间局域度.

Dispersion and localization of defect state in one-dimensional photonic crystal consisting of metamaterials

The expressions of the dispersion relationship and space localization in the one-dimensional photonic crystal (1DPC) with symmetric semi-infinite period number and a central defect layer are deduced, which are valid for the defect 1DPC consisting of materials with arbitrary frequency-dependence. Based upon them, we found that the eigenfrequency of defect state is red-shifted with the increasing geometry thickness of defect layer in right-handed materials. On the contrary, the frequency is blue-shifted when the defect layer is a left-handed material. Moreover, the defect state is more localized for symmetric semi-infinite period structures consisting of metamaterials than those of conventional right-handed materials.