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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 34, Iss. 13 — Jul. 1, 2009
  • pp: 2003–2005

Sum rule for the transmission cross section of apertures in thin opaque screens

Mats Gustafsson  »View Author Affiliations


Optics Letters, Vol. 34, Issue 13, pp. 2003-2005 (2009)
http://dx.doi.org/10.1364/OL.34.002003


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Abstract

Extraordinary transmission through subwavelength apertures is usually observed in a narrow bandwidth range, and the transmission outside this range is low, in agreement with classical results. The analysis presented here is based on the Babinet’s principle and hence scattering by the complementary structure, where the apertures are replaced by finite scatterers. It is shown that the transmission cross section of a set of apertures in an opaque screen satisfies a sum rule that relates the transmission cross section integrated over all wavelengths with the polarizability of the complementary structure as defined by Babinet’s principle. The theoretical results are illustrated with numerical examples.

© 2009 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1960) Diffraction and gratings : Diffraction theory
(230.5750) Optical devices : Resonators
(240.6680) Optics at surfaces : Surface plasmons
(260.2110) Physical optics : Electromagnetic optics
(260.5740) Physical optics : Resonance

ToC Category:
Scattering

History
Original Manuscript: March 6, 2009
Revised Manuscript: May 14, 2009
Manuscript Accepted: May 28, 2009
Published: June 26, 2009

Citation
Mats Gustafsson, "Sum rule for the transmission cross section of apertures in thin opaque screens," Opt. Lett. 34, 2003-2005 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-13-2003


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