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

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 resonanc...

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Main Authors: Gao, Xingwei, Chen, Hongsheng, Hsu, Chia Wei, Zhen, Bo, Lin, Xiao, Joannopoulos, John, Soljacic, Marin
Other Authors: Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
Format: Article
Language:en_US
Published: Nature Publishing Group 2017
Online Access:http://hdl.handle.net/1721.1/108431
https://orcid.org/0000-0002-7572-4594
https://orcid.org/0000-0002-7244-3682
https://orcid.org/0000-0002-7184-5831
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author Gao, Xingwei
Chen, Hongsheng
Hsu, Chia Wei
Zhen, Bo
Lin, Xiao
Joannopoulos, John
Soljacic, Marin
author2 Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
author_facet Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
Gao, Xingwei
Chen, Hongsheng
Hsu, Chia Wei
Zhen, Bo
Lin, Xiao
Joannopoulos, John
Soljacic, Marin
author_sort Gao, Xingwei
collection MIT
description 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.
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spelling mit-1721.1/1084312022-10-01T14:47:49Z Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs Gao, Xingwei Chen, Hongsheng Hsu, Chia Wei Zhen, Bo Lin, Xiao Joannopoulos, John Soljacic, Marin Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics Hsu, Chia Wei Zhen, Bo Lin, Xiao Joannopoulos, John Soljacic, Marin 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) 2017-04-26T19:54:23Z 2017-04-26T19:54:23Z 2016-08 2016-04 Article http://purl.org/eprint/type/JournalArticle 2045-2322 http://hdl.handle.net/1721.1/108431 Gao, Xingwei et al. “Formation Mechanism of Guided Resonances and Bound States in the Continuum in Photonic Crystal Slabs.” Scientific Reports 6.1 (2016): n. pag. https://orcid.org/0000-0002-7572-4594 https://orcid.org/0000-0002-7244-3682 https://orcid.org/0000-0002-7184-5831 en_US http://dx.doi.org/10.1038/srep31908 Scientific Reports Creative Commons Attribution 4.0 International License http://creativecommons.org/licenses/by/4.0/ application/pdf Nature Publishing Group Nature
spellingShingle Gao, Xingwei
Chen, Hongsheng
Hsu, Chia Wei
Zhen, Bo
Lin, Xiao
Joannopoulos, John
Soljacic, Marin
Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title_full Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title_fullStr Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title_full_unstemmed Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title_short Formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
title_sort formation mechanism of guided resonances and bound states in the continuum in photonic crystal slabs
url http://hdl.handle.net/1721.1/108431
https://orcid.org/0000-0002-7572-4594
https://orcid.org/0000-0002-7244-3682
https://orcid.org/0000-0002-7184-5831
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