skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Scientific Reports
DOI:https://doi.org/10.1038/srep31908· OSTI ID:1326654
 [1];  [2];  [3];  [4];  [5];  [5];  [1]
  1. Zhejiang Univ., Hangzhou (China)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Yale Univ., New Haven, CT (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technion, Haifa (Israel)
  4. Zhejiang Univ., Hangzhou (China); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  5. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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. As a result, 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.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0001299
OSTI ID:
1326654
Journal Information:
Scientific Reports, Vol. 6; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 87 works
Citation information provided by
Web of Science

References (40)

Bound states in the continuum journal July 2016
Experimental Observation of Optical Bound States in the Continuum journal October 2011
Observation of trapped light within the radiation continuum journal July 2013
Observation of Surface States with Algebraic Localization journal November 2013
Observation of Defect States in P T -Symmetric Optical Lattices journal May 2013
Resonant transmission near nonrobust periodic slab modes journal February 2005
Displacement-sensitive photonic crystal structures based on guided resonance in photonic crystal slabs journal March 2003
Bloch surface eigenstates within the radiation continuum journal July 2013
Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method journal June 2006
Bloch bound states in the radiation continuum in a periodic array of dielectric rods journal November 2014
Embedded Rayleigh–Bloch surface waves along periodic rectangular arrays journal November 2005
Topological protection of bound states against the hybridization journal February 2013
Progress in 2D photonic crystal Fano resonance photonics journal January 2014
Laser action from two-dimensional distributed feedback in photonic crystals journal January 1999
Coherent two-dimensional lasing action in surface-emitting laser with triangular-lattice photonic crystal structure journal July 1999
Polarization Mode Control of Two-Dimensional Photonic Crystal Laser by Unit Cell Structure Design journal August 2001
GaN Photonic-Crystal Surface-Emitting Laser at Blue-Violet Wavelengths journal January 2008
Watt-class high-power, high-beam-quality photonic-crystal lasers journal April 2014
Seeing protein monolayers with naked eye through plasmonic Fano resonances journal June 2011
Enabling enhanced emission and low-threshold lasing of organic molecules using special Fano resonances of macroscopic photonic crystals journal August 2013
Theoretical analysis of channel drop tunneling processes journal June 1999
Resonant tunneling in a quantum waveguide: Effect of a finite-size attractive impurity journal October 1999
Self-consistent multimode lasing theory for complex or random lasing media journal October 2006
Strong Interactions in Multimode Random Lasers journal May 2008
Steady-state ab initio laser theory: Generalizations and analytic results journal December 2010
Enabling Enhanced Emission and Low Threshold Lasing of Organic Molecules Using Special Fano Resonances of Macroscopic Photonic Crystals conference January 2014
Observation of Trapped Light Within the Radiation Continuum conference January 2013
Steady-state Ab Initio Laser Theory: Generalizations and Analytic Results text January 2010
Topological protection of bound states against the hybridization text January 2012
Observation of Defect States in PT-Symmetric Optical Lattices text January 2013
Compact surface Fano states embedded in the continuum of waveguide arrays text January 2013
Observation of surface states with algebraic localization text January 2013
Light trapping above the light cone in one-dimensional array of dielectric spheres text January 2015
Interfering resonances and bound states in the continuum journal December 1985
Light trapping above the light cone in a one-dimensional array of dielectric spheres journal August 2015
Analysis of guided resonances in photonic crystal slabs journal June 2002
Observation and Differentiation of Unique High-Q Optical Resonances Near Zero Wave Vector in Macroscopic Photonic Crystal Slabs journal August 2012
Compact Surface Fano States Embedded in the Continuum of Waveguide Arrays journal December 2013
Resonance-enhanced optical forces between coupled photonic crystal slabs journal January 2009
Self-consistent multi-mode lasing theory for complex or random lasing media text January 2006

Cited By (26)

All‐Dielectric Active Terahertz Photonics Driven by Bound States in the Continuum journal July 2019
Nanoscale Compositional Modification in Co/Pd Multilayers for Controllable Domain Wall Pinning in Racetrack Memory journal August 2018
Bound states in the continuum journal July 2016
Nonlinear response from optical bound states in the continuum journal May 2019
Tunability and Sensing Properties of Plasmonic/1D Photonic Crystal journal February 2017
Template free growth of robustly stable nanophotonic structures: broadband light superabsorbers journal January 2018
Embedded scattering eigenstates using resonant metasurfaces journal May 2018
Eigenmodes of a lamellar optical grating: Profile, propagation, reflection, transmission, and nonadiabatic mode coupling journal November 2019
Bound states with complex frequencies near the continuum on lossy periodic structures journal January 2020
Bound states in the continuum and polarization singularities in periodic arrays of dielectric rods journal December 2017
Bound states in the continuum on periodic structures surrounded by strong resonances journal April 2018
High- Q resonant modes in a finite array of dielectric particles journal March 2019
Experimental observation of a symmetry-protected bound state in the continuum in a chain of dielectric disks journal May 2019
Multipolar origin of bound states in the continuum journal September 2019
From topologically protected coherent perfect reflection to bound states in the continuum journal August 2018
Formation of Bound States in the Continuum in Hybrid Plasmonic-Photonic Systems journal December 2018
Bound States in the Continuum through Environmental Design journal July 2019
Anomalies in light scattering journal January 2019
Propagating bound states in the continuum in dielectric gratings journal January 2018
Bound states in the continuum on periodic structures: perturbation theory and robustness journal January 2017
Bound States in the Continuum on Periodic Structures: Perturbation Theory and Robustness text January 2017
Bound states in the continuum on periodic structures surrounded by strong resonances text January 2018
Formation of Bound States in the Continuum in Hybrid Plasmonic-Photonic Systems text January 2018
Anomalies in Light Scattering preprint January 2019
Hyperbolic-polaritons-enabled dark-field lens for sensitive detection journal August 2017
Nonlinear response from optical bound states in the continuum preprint January 2019

Similar Records

Topological Nature of Optical Bound States in the Continuum
Journal Article · Thu Dec 18 00:00:00 EST 2014 · Physical Review Letters · OSTI ID:1326654

Bound States in the Continuum on a Silicon Chip with Dynamic Tuning
Journal Article · Mon Aug 30 00:00:00 EDT 2021 · Physical Review Applied · OSTI ID:1326654

Formation of Bound States in the Continuum in Hybrid Plasmonic-Photonic Systems
Journal Article · Thu Dec 20 00:00:00 EST 2018 · Physical Review Letters · OSTI ID:1326654

Related Subjects