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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 246–258

Multipole method for modeling linear defects in photonic woodpiles

Dougal J. Kan, Ara A. Asatryan, Christopher G. Poulton, and Lindsay C. Botten  »View Author Affiliations


JOSA B, Vol. 27, Issue 2, pp. 246-258 (2010)
http://dx.doi.org/10.1364/JOSAB.27.000246


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Abstract

We extend the multipole method to allow for rod-type defects in woodpiles composed of infinitely long cylinders. A coupled-resonator optical waveguide and a linear waveguide are considered, where each waveguide is embedded in a woodpile cladding. For both structures, low-loss waveguiding is observed ( Q 1 × 10 4 3 × 10 4 ) . Decreasing the radius of the defect rod shifts the transmission resonances to shorter wavelengths. The reflection and transmission coefficients of the woodpile are derived for the case of normal incidence in the long-wavelength limit, and it is shown that both the individual layers and the entire assemblage of layers homogenize to one-dimensional dielectric slabs. Expressions for the effective permittivities are given.

© 2010 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1960) Diffraction and gratings : Diffraction theory
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(260.2065) Physical optics : Effective medium theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 28, 2009
Revised Manuscript: November 8, 2009
Manuscript Accepted: November 8, 2009
Published: January 12, 2010

Citation
Dougal J. Kan, Ara A. Asatryan, Christopher G. Poulton, and Lindsay C. Botten, "Multipole method for modeling linear defects in photonic woodpiles," J. Opt. Soc. Am. B 27, 246-258 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-2-246

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