Publication detail

Analytical model of the enhanced light transmission through subwavelength metal slits: Greens function formalism versus Rayleighs expansion

KUKHLEVSKY, S.V. MECHLER, M. SAMEK, O. JANSSENS, K.

Czech title

Analytical model of the enhanced light transmission through subwavelength metal slits: Greens function formalism versus Rayleighs expansion

English title

Analytical model of the enhanced light transmission through subwavelength metal slits: Greens function formalism versus Rayleighs expansion

Type

journal article - other

Language

en

Original abstract

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nmsize 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 Greens function formalism for the solution of Maxwells equations. The resonance wavelengths are in agreementwith 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.

Czech abstract

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nmsize 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 Greens function formalism for the solution of Maxwells equations. The resonance wavelengths are in agreementwith 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.

English abstract

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nmsize 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 Greens function formalism for the solution of Maxwells equations. The resonance wavelengths are in agreementwith 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.

Keywords in English

Analytical model of the light transmission, Greens function formalism, Rayleighs expansion

RIV year

2006

Released

01.06.2006

ISSN

0946-2171

Journal

APPLIED PHYSICS B-LASERS AND OPTICS

Volume

84

Number

1

Pages count

6

BIBTEX


@article{BUT43545,
  author="Ota {Samek},
  title="Analytical model of the enhanced light transmission through subwavelength metal slits: Greens function formalism versus Rayleighs expansion",
  journal="APPLIED PHYSICS B-LASERS AND OPTICS",
  year="2006",
  volume="84",
  number="1",
  month="June",
  issn="0946-2171"
}