Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs

• Main Authors: Gao, Xingwei (Author), Chen, Hongsheng (Author), Hsu, Chia Wei (Contributor), Zhen, Bo (Contributor), Lin, Xiao (Contributor), Joannopoulos, John (Contributor), Soljacic, Marin (Contributor)
• Other Authors: Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor), Massachusetts Institute of Technology. Research Laboratory of Electronics (Contributor)
• Format: Article
• Language: English
• Published: Nature Publishing Group, 2017-04-26T19:54:23Z.
• Subjects: Article
• Online Access: Get fulltext

We develop a formalism, based on the mode expansion method, to describe the guided resonances and bound states in the continuum (BICs) in photonic crystal slabs with one-dimensional periodicity. This approach provides analytic insights to the formation mechanisms of these states: the guided resonances arise from the transverse Fabry-Pérot condition, and the divergence of the resonance lifetimes at the BICs is explained by a destructive interference of radiation from different propagating components inside the slab. We show BICs at the center and on the edge of the Brillouin zone protected by symmetry, BICs at generic wave vectors not protected by symmetry, and the annihilation of BICs at low-symmetry wave vectors.
Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-13-D-0001)
United States. Department of Energy. Office of Science. Solid-State Solar Thermal Energy Conversion Center (Grant de-sc0001299)
United States-Israel Binational Science Foundation (Award 2013508)
National Science Foundation (U.S.) (Grant DMR-1307632)
National Natural Science Foundation (China) (Grants 61322501)
National Natural Science Foundation (China) (Grants 61574127)
National Natural Science Foundation (China) (Grants 61275183)