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Title: Bloch surface eigenstates within the radiation continuum

Abstract

From detailed numerical calculations, we demonstrate that in simple photonic crystal structures, a discrete number of Bloch surface-localized eigenstates can exist inside the continuum of free-space modes. Coupling to the free space causes the surface modes to leak, but the forward and back-reflected leakage may interfere destructively to create a perfectly bound surface state with zero leakage. We perform analytical temporal coupled-mode theory analysis to show the generality of such phenomenon and its robustness from variations of system parameters. Periodicity, time-reversal invariance, two-fold rotational symmetry and a perfectly reflecting boundary are necessary for these unique states.

Authors:
 [1];  [2];  [2];  [3];  [2];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics; Harvard Univ., Cambridge, MA (United States). Dept. of Physics
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics. Dept. of Mathematics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1384672
Grant/Contract Number:  
SC0001299
Resource Type:
Accepted Manuscript
Journal Name:
Light, Science & Applications
Additional Journal Information:
Journal Volume: 2; Journal Issue: 7; Journal ID: ISSN 2047-7538
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Hsu, Chia Wei, Zhen, Bo, Chua, Song-Liang, Johnson, Steven G., Joannopoulos, John D., and Soljačić, Marin. Bloch surface eigenstates within the radiation continuum. United States: N. p., 2013. Web. doi:10.1038/lsa.2013.40.
Hsu, Chia Wei, Zhen, Bo, Chua, Song-Liang, Johnson, Steven G., Joannopoulos, John D., & Soljačić, Marin. Bloch surface eigenstates within the radiation continuum. United States. https://doi.org/10.1038/lsa.2013.40
Hsu, Chia Wei, Zhen, Bo, Chua, Song-Liang, Johnson, Steven G., Joannopoulos, John D., and Soljačić, Marin. Fri . "Bloch surface eigenstates within the radiation continuum". United States. https://doi.org/10.1038/lsa.2013.40. https://www.osti.gov/servlets/purl/1384672.
@article{osti_1384672,
title = {Bloch surface eigenstates within the radiation continuum},
author = {Hsu, Chia Wei and Zhen, Bo and Chua, Song-Liang and Johnson, Steven G. and Joannopoulos, John D. and Soljačić, Marin},
abstractNote = {From detailed numerical calculations, we demonstrate that in simple photonic crystal structures, a discrete number of Bloch surface-localized eigenstates can exist inside the continuum of free-space modes. Coupling to the free space causes the surface modes to leak, but the forward and back-reflected leakage may interfere destructively to create a perfectly bound surface state with zero leakage. We perform analytical temporal coupled-mode theory analysis to show the generality of such phenomenon and its robustness from variations of system parameters. Periodicity, time-reversal invariance, two-fold rotational symmetry and a perfectly reflecting boundary are necessary for these unique states.},
doi = {10.1038/lsa.2013.40},
journal = {Light, Science & Applications},
number = 7,
volume = 2,
place = {United States},
year = {Fri Jul 19 00:00:00 EDT 2013},
month = {Fri Jul 19 00:00:00 EDT 2013}
}

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