Topological Nature of Optical Bound States in the Continuum
Abstract
Optical bound states in the continuum (BICs) have recently been realized in photonic crystal slabs, where the disappearance of out-of-plane radiation turns leaky resonances into guided modes with infinite lifetimes. We show here that such BICs are vortex centers in the polarization directions of far-field radiation. They carry conserved and quantized topological charges, defined by the winding number of the polarization vectors, which ensure their robust existence and govern their generation, evolution, and annihilation. Our findings connect robust BICs in photonics to a wide range of topological physical phenomena.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics; Harvard Univ., Cambridge, MA (United States). Dept. of Physics
- Yale Univ., New Haven, CT (United States). Dept. of Applied Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Yale Univ., New Haven, CT (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); US Army Research Office (ARO); National Science Foundation (NSF)
- OSTI Identifier:
- 1210642
- Alternate Identifier(s):
- OSTI ID: 1181579
- Grant/Contract Number:
- SC0001299; FG02-09ER46577; W911NF-07-D0001; DMR-0819762; DMR-1307632
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 113; Journal Issue: 25; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Zhen, Bo, Hsu, Chia Wei, Lu, Ling, Stone, A. Douglas, and Soljačić, Marin. Topological Nature of Optical Bound States in the Continuum. United States: N. p., 2014.
Web. doi:10.1103/PhysRevLett.113.257401.
Zhen, Bo, Hsu, Chia Wei, Lu, Ling, Stone, A. Douglas, & Soljačić, Marin. Topological Nature of Optical Bound States in the Continuum. United States. https://doi.org/10.1103/PhysRevLett.113.257401
Zhen, Bo, Hsu, Chia Wei, Lu, Ling, Stone, A. Douglas, and Soljačić, Marin. Thu .
"Topological Nature of Optical Bound States in the Continuum". United States. https://doi.org/10.1103/PhysRevLett.113.257401. https://www.osti.gov/servlets/purl/1210642.
@article{osti_1210642,
title = {Topological Nature of Optical Bound States in the Continuum},
author = {Zhen, Bo and Hsu, Chia Wei and Lu, Ling and Stone, A. Douglas and Soljačić, Marin},
abstractNote = {Optical bound states in the continuum (BICs) have recently been realized in photonic crystal slabs, where the disappearance of out-of-plane radiation turns leaky resonances into guided modes with infinite lifetimes. We show here that such BICs are vortex centers in the polarization directions of far-field radiation. They carry conserved and quantized topological charges, defined by the winding number of the polarization vectors, which ensure their robust existence and govern their generation, evolution, and annihilation. Our findings connect robust BICs in photonics to a wide range of topological physical phenomena.},
doi = {10.1103/PhysRevLett.113.257401},
journal = {Physical Review Letters},
number = 25,
volume = 113,
place = {United States},
year = {Thu Dec 18 00:00:00 EST 2014},
month = {Thu Dec 18 00:00:00 EST 2014}
}
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FIG. 1: (color online). Stable bound states in the continuum as vortex centers of polarization vectors. (a) Schematics of radiation field decomposition for resonances of a slab structure. The spatially averaged Bloch part of the electric field $\langle$uk$\rangle$ is projected onto the x-y plane as the polarization vector c =more »
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