Advanced

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

Gustafsson, Mats LU (2009) In Optics Letters 34(13). p.2003-2005
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Optics Letters
volume
34
issue
13
pages
2003 - 2005
publisher
Optical Society of America
external identifiers
  • WOS:000268376200031
  • Scopus:67650079144
ISSN
0146-9592
DOI
10.1364/OL.34.002003
language
English
LU publication?
yes
id
cdce0200-ee59-45c0-883e-247b6acc0074 (old id 1429340)
date added to LUP
2009-06-23 10:44:21
date last changed
2016-10-13 04:36:15
@misc{cdce0200-ee59-45c0-883e-247b6acc0074,
  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.},
  author       = {Gustafsson, Mats},
  issn         = {0146-9592},
  language     = {eng},
  number       = {13},
  pages        = {2003--2005},
  publisher    = {ARRAY(0x9e32d78)},
  series       = {Optics Letters},
  title        = {Sum rule for the transmission cross section of apertures in thin opaque screens},
  url          = {http://dx.doi.org/10.1364/OL.34.002003},
  volume       = {34},
  year         = {2009},
}