Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings
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Date
2011-12-19
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Abstract
We perform a mathematical analysis of the transmission
properties of a metallic layer with narrow slits. Our analysis is inspired by
recent measurements and numerical calculations that report an unexpected
high transmission coefficient of such a structure in a subwavelength regime.
We analyze the time harmonic Maxwell’s equations in the H-parallel case
for a fixed incident wavelength. Denoting by ? the typical size of the grated
structure, we analyze the limit n -> 0 and derive effective equations that
take into account the role of plasmonic waves. We obtain a formula for the
effective transmission coefficient.
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Keywords
effective tensor, Helmholtz equation, homogenization, plasmonic wave, resonance, scattering