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Opt Lett. 2011 Aug 1;36(15):2788-90. doi: 10.1364/OL.36.002788.

Improved fake mode free plane wave expansion method.

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Nano-Optoelectronics Lab, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China.


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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