Saleki Ziba, Entezar Samad Roshan, Madani Amir
Appl Opt. 2017 Jan 10;56(2):317-323. doi: 10.1364/AO.56.000317.
The transmission properties of a one-dimensional defective photonic crystal have been investigated using the transfer matrix method. A layer of graphene-based hyperbolic metamaterial whose optical axis is tilted with respect to the interface is taken as a defect. It is shown that two kinds of the defect modes can be found in the band gaps of the structure for TM-polarized waves. One kind is created at the frequency range in which the principle elements of the effective permittivity tensor of the defect layer have the same signs. The frequency of this kind of defect mode is independent from the orientation of the optical axis of the defect layer. The other one is created at the hyperbolic dispersion frequency range. Such a defect mode appears due to the anisotropic behavior of the defect layer and its frequency strongly depends on the orientation of the optical axis. Unlike the conventional defect modes, the magnetic field of this defect mode is localized around the defect layer.
利用转移矩阵法研究了一维缺陷光子晶体的传输特性。将一层光轴相对于界面倾斜的石墨烯基双曲线型超材料作为缺陷。结果表明，对于TM偏振波，在该结构的带隙中可发现两种缺陷模式。一种在缺陷层有效介电常数张量的主元素具有相同符号的频率范围内产生。这种缺陷模式的频率与缺陷层光轴的取向无关。另一种在双曲线型色散频率范围内产生。这种缺陷模式是由于缺陷层的各向异性行为而出现的，其频率强烈依赖于光轴的取向。与传统缺陷模式不同，这种缺陷模式的磁场局限在缺陷层周围。
