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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 15 — Jul. 28, 2014
  • pp: 18579–18587

Photonic crystals as topological high-Q resonators

R. Merlin and S. M. Young  »View Author Affiliations


Optics Express, Vol. 22, Issue 15, pp. 18579-18587 (2014)
http://dx.doi.org/10.1364/OE.22.018579


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Abstract

It is well known that defects, such as holes, inside an infinite photonic crystal can sustain localized resonant modes whose frequencies fall within a forbidden band. Here we prove that finite, defect-free photonic crystals behave as mirrorless resonant cavities for frequencies within but near the edges of an allowed band, regardless of the shape of their outer boundary. The resonant modes are extended, surface-avoiding (nearly-Dirichlet) states that may lie inside or outside the light cone. Independent of the dimensionality, quality factors and finesses are on the order of, respectively, ( L/λ ) 3 and L/λ , where λ is the vacuum wavelength and L >> λ is a typical size of the crystal. Similar topological modes exist in conventional Fabry-Pérot resonators, and in plasmonic media at frequencies just above those at which the refractive index vanishes.

© 2014 Optical Society of America

OCIS Codes
(230.5750) Optical devices : Resonators
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: April 18, 2014
Revised Manuscript: July 9, 2014
Manuscript Accepted: July 14, 2014
Published: July 24, 2014

Citation
R. Merlin and S. M. Young, "Photonic crystals as topological high-Q resonators," Opt. Express 22, 18579-18587 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-15-18579


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