title: Improved fake mode free plane wave expansion method.
abstract: 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.
authors.affiliation: Nano-Optoelectronics Lab, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China.
authors.forename: Bin
authors.initials: B
authors.lastname: Jiang
authors.forename: Wenjun
authors.initials: W
authors.lastname: Zhou
authors.forename: Wei
authors.initials: W
authors.lastname: Chen
authors.forename: Anjin
authors.initials: A
authors.lastname: Liu
authors.forename: Wanhua
authors.initials: W
authors.lastname: Zheng