Plasmonic resonance shift of metallic nanostructures studied in four different ways

For simple metals such as sodium, the surface plasmon dispersion relation in the long wavelength limit of planar geometry [1] and the size dependence of plasmonic resonance shift of spherical geometry [2], are largely due to the inhomogeneous spilled-out electron density profile at the surface. We propose a semi-classical computation method based on earlier studies, to recover the quantum effects within classical framework [3] and produce the resonance shifts exact to first order. We benchmark the accuracy and efficiency of the proposed method against results from ab initio time dependent density functional theory (TDDFT) [4].

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