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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 21 — Oct. 11, 2010
  • pp: 22119–22127

Efficient homogenization procedure for the calculation of optical properties of 3D nanostructured composites

W. Luis Mochán, Guillermo P. Ortiz, and Bernardo S. Mendoza  »View Author Affiliations


Optics Express, Vol. 18, Issue 21, pp. 22119-22127 (2010)
http://dx.doi.org/10.1364/OE.18.022119


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Abstract

We present a very efficient recursive method to calculate the effective optical response of metamaterials made up of arbitrarily shaped inclusions arranged in periodic 3D arrays. We apply it to dielectric particles embedded in a metal matrix with a lattice constant much smaller than the wavelength of the incident field, so that we may neglect retardation and factor the geometrical properties from the properties of the materials. If the conducting phase is continuous the low frequency behavior is metallic, and if the conducting paths are thin, the high frequency behavior is dielectric. Thus, extraordinary-transparency bands may develop at intermediate frequencies, whose properties may be tuned by geometrical manipulation.

© 2010 Optical Society of America

OCIS Codes
(260.2065) Physical optics : Effective medium theory
(160.3918) Materials : Metamaterials
(160.4236) Materials : Nanomaterials
(350.4238) Other areas of optics : Nanophotonics and photonic crystals

ToC Category:
Metamaterials

History
Original Manuscript: July 19, 2010
Revised Manuscript: August 30, 2010
Manuscript Accepted: September 3, 2010
Published: October 4, 2010

Citation
W. Luis Mochan, Guillermo P. Ortiz, and Bernardo S. Mendoza, "Efficient homogenization procedure for the calculation of optical properties of 3D nanostructured composites," Opt. Express 18, 22119-22127 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-21-22119


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