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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 8 — Apr. 16, 2007
  • pp: 4753–4762

Gap-edge asymptotics of defect modes in two-dimensional photonic crystals

K. B. Dossou, R. C. McPhedran, L. C. Botten, A. A. Asatryan, and C. Martijn de Sterke  »View Author Affiliations

Optics Express, Vol. 15, Issue 8, pp. 4753-4762 (2007)

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We consider defect modes created in complete gaps of 2D photonic crystals by perturbing the dielectric constant in some region. We study their evolution from a band edge with increasing perturbation using an asymptotic method that approximates the Green function by its dominant component which is associated with the bulk mode at the band edge. From this, we derive a simple exponential law which links the frequency difference between the defect mode and the band edge to the relative change in the electric energy. We present numerical results which demonstrate the accuracy of the exponential law, for TE and TM polarizations, hexagonal and square arrays, and in each of the first and second band gaps.

© 2007 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Photonic Crystals

Original Manuscript: March 6, 2007
Revised Manuscript: March 30, 2007
Manuscript Accepted: March 30, 2007
Published: April 4, 2007

K. B. Dossou, R. C. McPhedran, L. C. Botten, A. A. Asatryan, and C. M. de Sterke, "Gap-edge Asymptotics of defect modes in 2D Photonic Crystals," Opt. Express 15, 4753-4762 (2007)

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