Improved fake mode free plane wave expansion method
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Updated: May 30, 2026

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Published on: April 28, 2022
Bin Jiang1, Wenjun Zhou, Wei Chen
1Nano-Optoelectronics Lab, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China.
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.
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