Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum

A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability. Then we show that by exploiting perturbations of certain symmetry such BICs can be turned i...

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Main Authors: Hsu, Chia Wei, Buljan, Hrvoje, Rivera, Nicholas H., Zhen, Bo, Joannopoulos, John, Soljacic, Marin
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Nature Publishing Group 2017
Online Access:http://hdl.handle.net/1721.1/108387
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 Hsu, Chia Wei
Buljan, Hrvoje
Rivera, Nicholas H.
Zhen, Bo
Joannopoulos, John
Soljacic, Marin
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Hsu, Chia Wei
Buljan, Hrvoje
Rivera, Nicholas H.
Zhen, Bo
Joannopoulos, John
Soljacic, Marin
author_sort Hsu, Chia Wei
collection MIT
description A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability. Then we show that by exploiting perturbations of certain symmetry such BICs can be turned into resonances that radiate with a tailorable directionality and dimensionality. Using this general framework, we construct new examples of separable BICs and resonances that can exist in optical potentials for ultracold atoms, photonic systems, and systems described by tight binding. Such resonances with easily reconfigurable radiation allow for applications such as the storage and release of waves at a controllable rate and direction, as well systems that switch between different dimensions of confinement.
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spelling mit-1721.1/1083872022-09-26T16:17:50Z Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum Hsu, Chia Wei Buljan, Hrvoje Rivera, Nicholas H. Zhen, Bo Joannopoulos, John Soljacic, Marin Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics Rivera, Nicholas H. Zhen, Bo Joannopoulos, John Soljacic, Marin A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability. Then we show that by exploiting perturbations of certain symmetry such BICs can be turned into resonances that radiate with a tailorable directionality and dimensionality. Using this general framework, we construct new examples of separable BICs and resonances that can exist in optical potentials for ultracold atoms, photonic systems, and systems described by tight binding. Such resonances with easily reconfigurable radiation allow for applications such as the storage and release of waves at a controllable rate and direction, as well systems that switch between different dimensions of confinement. United States. Department of Energy. Office of Science. Solid-State Solar Thermal Energy Conversion Center (Award DE-SC0001299/DE-FG02-09ER46577) National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (Award DMR-1419807) Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF- 13-D-0001) United States-Israel Binational Science Foundation (Award 20130508) 2017-04-24T20:40:10Z 2017-04-24T20:40:10Z 2016-09 2016-05 Article http://purl.org/eprint/type/JournalArticle 2045-2322 http://hdl.handle.net/1721.1/108387 Rivera, Nicholas et al. “Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum.” 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/srep33394 Scientific Reports Creative Commons Attribution 4.0 International License http://creativecommons.org/licenses/by/4.0/ application/pdf Nature Publishing Group Nature
spellingShingle Hsu, Chia Wei
Buljan, Hrvoje
Rivera, Nicholas H.
Zhen, Bo
Joannopoulos, John
Soljacic, Marin
Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title_full Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title_fullStr Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title_full_unstemmed Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title_short Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum
title_sort controlling directionality and dimensionality of radiation by perturbing separable bound states in the continuum
url http://hdl.handle.net/1721.1/108387
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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