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Lower bound for the spatial extent of localized modes in photonic-crystal waveguides with small random imperfections

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Faggiani_2016_SR_smallrandomimperfections_CC.pdf (551.3Kb)
Date
01/07/2016
Author
Faggiani, Rémi
Baron, Alexandre
Zang, Xiaorun
Lalouat, Loïc
Schulz, Sebastian A.
O’regan, Bryan
Vynck, Kevin
Cluzel, Benoît
De Fornel, Frédérique
Krauss, Thomas F.
Lalanne, Philippe
Keywords
QC Physics
NDAS
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Abstract
Light localization due to random imperfections in periodic media is paramount in photonics research. The group index is known to be a key parameter for localization near photonic band edges, since small group velocities reinforce light interaction with imperfections. Here, we show that the size of the smallest localized mode that is formed at the band edge of a one-dimensional periodic medium is driven instead by the effective photon mass, i.e. the flatness of the dispersion curve. Our theoretical prediction is supported by numerical simulations, which reveal that photonic-crystal waveguides can exhibit surprisingly small localized modes, much smaller than those observed in Bragg stacks thanks to their larger effective photon mass. This possibility is demonstrated experimentally with a photonic-crystal waveguide fabricated without any intentional disorder, for which near-field measurements allow us to distinctly observe a wavelength-scale localized mode despite the smallness (~1/1000 of a wavelength) of the fabrication imperfections.
Citation
Faggiani , R , Baron , A , Zang , X , Lalouat , L , Schulz , S A , O’regan , B , Vynck , K , Cluzel , B , De Fornel , F , Krauss , T F & Lalanne , P 2016 , ' Lower bound for the spatial extent of localized modes in photonic-crystal waveguides with small random imperfections ' , Scientific Reports , vol. 6 , 27037 . https://doi.org/10.1038/srep27037
Publication
Scientific Reports
Status
Peer reviewed
DOI
https://doi.org/10.1038/srep27037
ISSN
2045-2322
Type
Journal article
Rights
© 2016 the Author(s). This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Description
RF has received financial support from the French “Direction Générale de l’Armement” (DGA).
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/12977

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