Nano-Optoelectronics Lab, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China.
Opt Lett. 2011 Aug 1;36(15):2788-90. doi: 10.1364/OL.36.002788.
We analyze the origin of the fake modes introduced by the plane wave expansion method with three-dimension (3D) supercell approximation. Through the detailed analysis of the energy distribution of fake modes and real modes, we propose the plane wave expansion-three planar-slab waveguides method to remove the fake modes and obtain the fake mode free band structure of a two-dimensional air hole photonic crystal slab. To the best of our knowledge, this is the first time that such a fake mode free photonic crystal band structure is presented. Our method is also definitely useful in designing other 3D devices.
我们分析了三维超胞近似平面波展开法引入的赝模的起源。通过对赝模和实模的能量分布的详细分析，提出了平面波展开-三维平板波导法来消除赝模，得到二维空气孔光子晶体平板的赝模自由带结构。据我们所知，这是首次提出这种赝模自由光子晶体能带结构。我们的方法在设计其他 3D 器件时也绝对有用。
