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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. 26, Iss. 8 — Aug. 1, 2009
  • pp: 1497–1505

Approximate analysis of two-dimensional photonic crystals with rectangular geometry II. H-polarization

Inna Nusinsky and Amos A. Hardy  »View Author Affiliations

JOSA B, Vol. 26, Issue 8, pp. 1497-1505 (2009)

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An approximate analytical approach for calculating the dispersion relations of two-dimensional photonic crystals, which was earlier developed for E-polarization, is extended for H-polarization (which is usually problematic for analytical treatment, because of field discontinuities). Useful analytical formulas, for calculating the dispersion relations and the magnetic fields, are developed. We show that the presented approach and the derived expressions provide a good approximation for a wide range of photonic crystal parameters. The results are also compared with accurate numerical calculations to check the validity of the approximations. This approach provides not only a fast way for photonic crystal calculations, but it also can be useful for the investigation of various physical effects as well as for the design and analysis of new photonic crystal devices.

© 2009 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: April 24, 2009
Manuscript Accepted: May 21, 2009
Published: July 7, 2009

Inna Nusinsky and Amos A. Hardy, "Approximate analysis of two-dimensional photonic crystals with rectangular geometry II. H-polarization," J. Opt. Soc. Am. B 26, 1497-1505 (2009)

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