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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 2334–2338

Effective refractive index of the photonic crystal deduced from the oscillation model of the membrane

Ting-Hang Pei and Yang-Tung Huang  »View Author Affiliations

JOSA B, Vol. 29, Issue 9, pp. 2334-2338 (2012)

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The oscillation model of the circular membrane is used to calculate the effective refractive index of the two-dimensional triangular photonic crystal at normal incidence within the second photonic band. Negatively effective refractive indices deduced from this model match those calculated by equifrequency surfaces very well. The result reveals that the field distribution has relation with the effective refractive index at certain frequency regions. Besides, the field distribution described by the Bessel function is more compact than the Fourier series expansion.

© 2012 Optical Society of America

OCIS Codes
(120.5710) Instrumentation, measurement, and metrology : Refraction
(260.2065) Physical optics : Effective medium theory
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Diffraction and Gratings

Original Manuscript: May 22, 2012
Revised Manuscript: July 1, 2012
Manuscript Accepted: July 12, 2012
Published: August 6, 2012

Ting-Hang Pei and Yang-Tung Huang, "Effective refractive index of the photonic crystal deduced from the oscillation model of the membrane," J. Opt. Soc. Am. B 29, 2334-2338 (2012)

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