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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 8 — Apr. 16, 2007
  • pp: 5089–5099

Mode localization and band-gap formation in defect-free photonic quasicrystals

Khaled Mnaymneh and Robert C. Gauthier  »View Author Affiliations


Optics Express, Vol. 15, Issue 8, pp. 5089-5099 (2007)
http://dx.doi.org/10.1364/OE.15.005089


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Abstract

Defects in photonic crystals are local regions in which the translational symmetry is broken. The same definition can be applied to photonic quasicrystals except in this case the symmetry is the 2π/n rotational symmetry, where n is the rotational fold number. In this context, if no such defects are present, the structure is called “defect-free”. Even though photonic quasicrystal patterns can be defect-free, localized modes can still exist in such structures. These modes resemble those of a central potential that suggests that localization in photonic quasicrystals are actually “extended” modes of the rotational symmetry. A possible connection is suggested between these localized modes and short-range dependence of the photonic band gap (PBG). Such a connection implies a tight-binding description of PBG formation of photonic quasicrystals – making them more similar to electronic semiconductors than regular photonic crystals.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.3120) Integrated optics : Integrated optics devices
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4000) Optical design and fabrication : Microstructure fabrication
(230.4000) Optical devices : Microstructure fabrication

ToC Category:
Photonic Crystals

History
Original Manuscript: February 9, 2007
Revised Manuscript: April 9, 2007
Manuscript Accepted: April 10, 2007
Published: April 12, 2007

Citation
Khaled Mnaymneh and Robert C. Gauthier, "Mode localization and band-gap formation in defect-free photonic quasicrystals," Opt. Express 15, 5089-5099 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-5089


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