Xu Kun-Yuan, Zheng Xiguang, Li Cai-Lian, She Wei-Long
State Key Laboratory of Optoelectronic Materials and Technologies, Institute of Laser and Spectroscopy, Sun Yat-sen (Zhongshan) University, Guangzhou 510275, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 2):066604. doi: 10.1103/PhysRevE.71.066604. Epub 2005 Jun 13.
The band structures of one-dimensional photonic crystals containing a defect layer with a negative refractive index are studied, showing that the defect modes possess three types of dispersion: positive, zero, and negative types. Based on these three types of dispersion, practical designs for large incident angle filters without polarization effect and for narrow frequency and sharp angular filters are suggested. Moreover, the splitting of one degenerate defect mode into multiple defect modes is observed in the band gap when the parameters of the defect layer vary. This mode splitting phenomenon can be used to design multiple channeled filters or filters with a rectangular profile. The dispersion multiplicity of the defect modes can be understood by an approximate formula, and the critical condition for the defect mode splitting is also analyzed. Based on these analyses, practical optimization design of omnidirectional filter is also suggested.
研究了含有负折射率缺陷层的一维光子晶体的能带结构，结果表明缺陷模式具有三种色散类型：正、零和负类型。基于这三种色散类型，提出了无偏振效应的大入射角滤波器以及窄频率和锐角度滤波器的实际设计方案。此外，当缺陷层参数变化时，在带隙中观察到一个简并缺陷模式分裂为多个缺陷模式。这种模式分裂现象可用于设计多通道滤波器或具有矩形轮廓的滤波器。缺陷模式的色散多重性可以通过一个近似公式来理解，并且还分析了缺陷模式分裂的临界条件。基于这些分析，还提出了全向滤波器的实际优化设计。
