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

Abstract

Here, 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.

Authors:
 [1];  [2];  [3];  [4];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Yale Univ., New Haven, CT (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technion, Haifa (Israel)
  4. Univ. of Zagreb, Zagreb (Croatia)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1388453
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 6; Journal Issue: 1; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)

Citation Formats

Rivera, Nicholas, Hsu, Chia Wei, Zhen, Bo, Buljan, Hrvoje, Joannopoulos, John D., and Soljacic, Marin. Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum. United States: N. p., 2016. Web. doi:10.1038/srep33394.
Rivera, Nicholas, Hsu, Chia Wei, Zhen, Bo, Buljan, Hrvoje, Joannopoulos, John D., & Soljacic, Marin. Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum. United States. doi:10.1038/srep33394.
Rivera, Nicholas, Hsu, Chia Wei, Zhen, Bo, Buljan, Hrvoje, Joannopoulos, John D., and Soljacic, Marin. Mon . "Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum". United States. doi:10.1038/srep33394. https://www.osti.gov/servlets/purl/1388453.
@article{osti_1388453,
title = {Controlling Directionality and Dimensionality of Radiation by Perturbing Separable Bound States in the Continuum},
author = {Rivera, Nicholas and Hsu, Chia Wei and Zhen, Bo and Buljan, Hrvoje and Joannopoulos, John D. and Soljacic, Marin},
abstractNote = {Here, 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.},
doi = {10.1038/srep33394},
journal = {Scientific Reports},
number = 1,
volume = 6,
place = {United States},
year = {2016},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 14 works
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Works referenced in this record:

Interfering resonances and bound states in the continuum
journal, December 1985


Bound states in the continuum in quantum-dot pairs
journal, February 2006


Transport and Anderson localization in disordered two-dimensional photonic lattices
journal, March 2007

  • Schwartz, Tal; Bartal, Guy; Fishman, Shmuel
  • Nature, Vol. 446, Issue 7131
  • DOI: 10.1038/nature05623

Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures
journal, December 2012

  • Rechtsman, Mikael C.; Zeuner, Julia M.; Tünnermann, Andreas
  • Nature Photonics, Vol. 7, Issue 2
  • DOI: 10.1038/nphoton.2012.302

Resonances in quantum-dot transport
journal, December 1992


Strongly Localized Mode at the Intersection of the Phase Slips in a Photonic Crystal without Band Gap
journal, June 2003


Compact Surface Fano States Embedded in the Continuum of Waveguide Arrays
journal, December 2013


Ghost Fano resonance in a double quantum dot molecule attached to leads
journal, May 2003


Experimental study on water-wave trapped modes
journal, January 2011


Bound states in continuum: Quantum dots in a quantum well
journal, November 2013


Embedded Rayleigh–Bloch surface waves along periodic rectangular arrays
journal, November 2005


Embedded Photonic Eigenvalues in 3D Nanostructures
journal, May 2014


Electromagnetic cavity with arbitrary Q and small modal volume without a complete photonic bandgap
journal, January 2002

  • Watts, M. R.; Johnson, S. G.; Haus, H. A.
  • Optics Letters, Vol. 27, Issue 20
  • DOI: 10.1364/OL.27.001785

Photonic Floquet topological insulators
journal, April 2013

  • Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
  • Nature, Vol. 496, Issue 7444
  • DOI: 10.1038/nature12066

Bound states in the continuum
journal, July 2016


Spatial photonics in nonlinear waveguide arrays
journal, January 2005


Observation of Surface States with Algebraic Localization
journal, November 2013


Resonant transmission near nonrobust periodic slab modes
journal, February 2005


Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices
journal, March 2003

  • Fleischer, Jason W.; Segev, Mordechai; Efremidis, Nikolaos K.
  • Nature, Vol. 422, Issue 6928
  • DOI: 10.1038/nature01452

Bloch bound states in the radiation continuum in a periodic array of dielectric rods
journal, November 2014


Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide
journal, January 2014


Wave and defect dynamics in nonlinear photonic quasicrystals
journal, April 2006

  • Freedman, Barak; Bartal, Guy; Segev, Mordechai
  • Nature, Vol. 440, Issue 7088
  • DOI: 10.1038/nature04722

Analytically solvable model of photonic crystal structures and novel phenomena
journal, August 2002


A simple separable Hamiltonian having bound states in the continuum
journal, December 1986


Ultracold quantum gases in optical lattices
journal, October 2005


Bloch surface eigenstates within the radiation continuum
journal, July 2013

  • Hsu, Chia Wei; Zhen, Bo; Chua, Song-Liang
  • Light: Science & Applications, Vol. 2, Issue 7
  • DOI: 10.1038/lsa.2013.40

Observation of trapped light within the radiation continuum
journal, July 2013

  • Hsu, Chia Wei; Zhen, Bo; Lee, Jeongwon
  • Nature, Vol. 499, Issue 7457, p. 188-191
  • DOI: 10.1038/nature12289

Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable
journal, July 1948


Dispersion relation and optical transmittance of a hexagonal photonic crystal slab
journal, March 2001


Surface Bound States in the Continuum
journal, February 2012


Experimental demonstration of painting arbitrary and dynamic potentials for Bose–Einstein condensates
journal, April 2009


Photonic bandgap structures in planar waveguides
journal, January 2001


Bound States in the Continuum in Photonics
journal, May 2008


Experimental Observation of Optical Bound States in the Continuum
journal, October 2011


Observation and Differentiation of Unique High-Q Optical Resonances Near Zero Wave Vector in Macroscopic Photonic Crystal Slabs
journal, August 2012


Controlling multipolar radiation with symmetries for electromagnetic bound states in the continuum
journal, December 2014


Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields
journal, April 2001


Bound states in the continuum in photonic waveguides inspired by defects
journal, August 2008


    Works referencing / citing this record:

    Nonlinear response from optical bound states in the continuum
    journal, May 2019


    Compact localized states of open scattering media: a graph decomposition approach for an ab initio design
    journal, January 2019

    • Sgrignuoli, Fabrizio; Röntgen, Malte; Morfonios, Christian V.
    • Optics Letters, Vol. 44, Issue 2
    • DOI: 10.1364/ol.44.000375

    Shaping long-lived electron wavepackets for customizable optical spectra
    journal, January 2019


    Bound states in the continuum
    journal, July 2016


    Directional lasing in resonant semiconductor nanoantenna arrays
    journal, August 2018


    Suppressing deleterious effects of spontaneous emission in creating bound states in cold atom continuum
    journal, November 2019

    • Naskar, Somnath; Sardar, Dibyendu; Deb, Bimalendu
    • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 52, Issue 24
    • DOI: 10.1088/1361-6455/ab4ef2

    Bound states in the continuum in spin-orbit-coupled atomic systems
    journal, September 2017


    Coherent-perfect-absorber and laser for bound states in a continuum
    journal, January 2018

    • Midya, Bikashkali; Konotop, Vladimir V.
    • Optics Letters, Vol. 43, Issue 3
    • DOI: 10.1364/ol.43.000607

    Angular control of anisotropy-induced bound states in the continuum
    journal, January 2019

    • Mukherjee, Samyobrata; Gomis-Bresco, Jordi; Pujol-Closa, Pilar
    • Optics Letters, Vol. 44, Issue 21
    • DOI: 10.1364/ol.44.005362