Theory on the quasi-cylindrical wave diffracted by a sub-wavelength metallic slit and its enhancement by surface plasmon resonance

Yann Gravel; Yunlong Sheng

doi:10.1117/12.2001668

26 November 2012 Theory on the quasi-cylindrical wave diffracted by a subwavelength metallic slit and its enhancement by surface plasmon resonance

Yann Gravel, Yunlong Sheng

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Proceedings Volume 8556, Holography, Diffractive Optics, and Applications V; 85560F (2012) https://doi.org/10.1117/12.2001668
Event: Photonics Asia, 2012, Beijing, China

Abstract

A rigorous theoretical analysis of the diffraction of light on a sub-wavelength metallic slit is presented. Solution of the 2D Sommerfeld integral shows that the so-called quasi-cylindrical wave is a convolution of a first order cylindrical harmonic with the transit surface Plasmon polariton, a 1D spatial distribution along the metallic interface extending outside the slit. The quasi-cylindrical wave is not a surface wave but is a scattered field propagating along the interface but also in the entire space of the media adjacent to the slit. We demonstrate that this field can be enhanced by the surface Plasmon resonance, when the dielectric function of the metal tends to the negative of the permittivity of the medium above the slit.

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Yann Gravel and Yunlong Sheng "Theory on the quasi-cylindrical wave diffracted by a subwavelength metallic slit and its enhancement by surface plasmon resonance", Proc. SPIE 8556, Holography, Diffractive Optics, and Applications V, 85560F (26 November 2012); https://doi.org/10.1117/12.2001668

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KEYWORDS

Metals

Dielectrics

Interfaces

Magnetism

Diffraction

Surface plasmons

Convolution

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