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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 11 — Nov. 1, 2012
  • pp: 2344–2349

Fourier–Bessel analysis of localized states and photonic bandgaps in 12-fold photonic quasi-crystals

Scott R. Newman and Robert C. Gauthier  »View Author Affiliations


JOSA A, Vol. 29, Issue 11, pp. 2344-2349 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002344


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Abstract

A Fourier–Bessel (FB) basis is used to solve two-dimensional (2D) cylindrical Maxwell’s equations for localized states within dielectric structures that possess rotational symmetry. The technique is used to determine the wavelengths and profiles of the stationary states supported by the structure and identify the bandgaps. 12-fold quasi-crystals for the TE and TM polarizations are analyzed. Since the FB approach with 2D photonic crystals in this fashion is new, the accuracy of the results is confirmed using finite-difference time-domain simulations.

© 2012 Optical Society of America

OCIS Codes
(160.5293) Materials : Photonic bandgap materials
(160.5298) Materials : Photonic crystals

ToC Category:
Materials

History
Original Manuscript: May 29, 2012
Revised Manuscript: September 13, 2012
Manuscript Accepted: September 25, 2012
Published: October 18, 2012

Citation
Scott R. Newman and Robert C. Gauthier, "Fourier–Bessel analysis of localized states and photonic bandgaps in 12-fold photonic quasi-crystals," J. Opt. Soc. Am. A 29, 2344-2349 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-11-2344

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