对称型单负交替一维光子晶体的能带结构

构造了(AB)^N(BA)^N对称型两种单负材料交替一维光子晶体，利用传输矩阵法进行数值模拟.结果表明：这种单负交替对称型一维光子晶体具有一种特殊带隙结构，该带隙不敏感于入射角和晶格的无序性.在该带隙内出现了两个隧穿模，该隧穿模不敏感于入射角的改变和晶格的无序性，但能带及带隙内的隧穿模却敏感于晶格标度和周期数的变化；随着入射角的改变，带隙两侧的隧穿模趋于简并.这些特性对在利用此结构光子晶体设计双重超窄带滤波器时，具有一定的参考价值. 关键词： 光子晶体 单负材料 光子带隙

The band structure of symmetrical structured one-dimensional photonic crystal with single-negative materials

The symmetrical structured one-dimensional photonic crystal in the form of (AB)^N(BA)^N, is prepared and studied by transfer matrix. The results show that this kind of symmetrical structured one-dimensional photonic crystal has a special photonic gap which is insensitive to the incident angle and the disorder of the lattice. Two tunneling modes appear in this gap which are also insensitive to the incident angle and the disorder of the lattice. But the energy bands and tunneling modes of the gap are sensitive to change in the scale length of crystal lattice and the number of periodicities. With the increasing of incident angle the tunneling modes on both sides of the gap tend to degenerate. This characteristic will have a certain reference value for designing a filter with this kind of structure.