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Applied Physics B

, Volume 84, Issue 1–2, pp 19–24 | Cite as

Analytical model of the enhanced light transmission through subwavelength metal slits: Green’s function formalism versus Rayleigh’s expansion

  • S.V. KukhlevskyEmail author
  • M. Mechler
  • O. Samek
  • K. Janssens
Article

Abstract

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nm-size slit in a thick metal film. The simple formulae for the transmitted electromagnetic fields and the transmission coefficient are derived by using the narrow-slit approximation and the Green’s function formalism for the solution of Maxwell’s equations. The resonance wavelengths are in agreement with the semi-analytical model [Y. Takakura, Phys. Rev. Lett. 86, 5601 (2001)], which solves the wave equations by using the Rayleigh field expansion. Our formulae, however, show great resonant enhancement of a transmitted wave, while the Rayleigh expansion model predicts attenuation. The difference is attributed to the near-field subwavelength diffraction, which is not considered by the Rayleigh-like expansion models.

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • S.V. Kukhlevsky
    • 1
    Email author
  • M. Mechler
    • 2
  • O. Samek
    • 3
    • 4
  • K. Janssens
    • 5
  1. 1.Department of Physics, Faculty of Natural SciencesUniversity of PécsPécsHungary
  2. 2.South-Trans-Danubian Cooperative Research CentreUniversity of PécsPécsHungary
  3. 3.Institute of Spectrochemistry and Applied SpectroscopyDortmundGermany
  4. 4.Brno Univ. TechnolBrnoCzech Republic
  5. 5.Department of ChemistryUniversity of AntwerpAntwerpBelgium

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