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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 1 — Jan. 2, 2012
  • pp: 426–439

General closed-form condition for enhanced transmission in subwavelength metallic gratings in both TE and TM polarizations

Ilai Schwarz, Nitzan Livneh, and Ronen Rapaport  »View Author Affiliations


Optics Express, Vol. 20, Issue 1, pp. 426-439 (2012)
http://dx.doi.org/10.1364/OE.20.000426


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Abstract

We present an intuitive reasoning and derivation leading to an approximated, simple closed-form model for predicting and explaining the general emergence of enhanced transmission resonances through rectangular, optically thick metallic gratings in various configurations and polarizations. This model is based on an effective index approximation and it unifies in a simple way the underlying mechanism of enhanced transmission as emerging from standing wave resonances of the different diffraction orders of periodic structures. The model correctly predicts the conditions for the enhanced transmission resonances in various geometrical configurations, for both TE and TM polarizations, and in both the subwavelength and non-subwavelength spectral regimes, using the same underlying mechanism and one simple closed-form equation, and does not require explicitly invoking specific polarization dependent mechanisms. The known excitation of surface plasmons polaritons or slit cavity modes, emerge as limiting cases of a more general condition. This equation can be used to easily design and analyze the optical properties of a wide range of rectangular metallic transmission gratings.

© 2011 OSA

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2065) Diffraction and gratings : Effective medium theory
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 6, 2011
Revised Manuscript: November 6, 2011
Manuscript Accepted: November 11, 2011
Published: December 21, 2011

Citation
Ilai Schwarz, Nitzan Livneh, and Ronen Rapaport, "General closed-form condition for enhanced transmission in subwavelength metallic gratings in both TE and TM polarizations," Opt. Express 20, 426-439 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-1-426


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