Classical homogenization to analyse the dispersion relations of spoof plasmons with geometrical and compositional effects
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2015Metadata
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Mercier, J.-F.
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Classical homogenization to analyse the dispersion relations of spoof plasmons with geometrical and compositional effects
Abstract
We show that the classical homogenization is able
to describe the dispersion relation of spoof plasmons
in structured thick interfaces with periodic unit cell
being at the subwavelength scale. This is because the
interface in the real problem is replaced by a slab of an
homogeneous birefringent medium, with an effective
mass density tensor and an effective bulk modulus.
Thus, explicit dispersion relation can be derived,
corresponding to guided waves in the homogenized
problem. Contrary to previous effective medium
theories or retrieval methods, the homogenization
gives effective parameters depending only on the
properties of the material and on the geometry of the
microstructure. Although resonances in the unit cell
cannot be accounted for within this low-frequency
homogenization, it is able to account for resonances
occurring because of the thickness of the interface and
thus, to capture the behaviour of the spoof plasmons.
Beyond the case of simple grooves in a hard material,
we inspect the influence of tilting the grooves and the
influence of the material properties.
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Poc. R. Soc. A 471: 20150472 (2015)
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