title: Surface plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit.
abstract: According to the hydrodynamic Drude model, surface plasmon resonances of metallic nanostructures blueshift owing to the non-local response of the metal's electron gas. The screening length characterizing the non-local effect is often small relative to the overall dimensions of the metallic structure, which enables us to derive a coarse-grained non-local description using matched asymptotic expansions; a perturbation theory for the blueshifts of arbitrary-shaped nanometallic structures is then developed. The effect of non-locality is not always a perturbation and we present a detailed analysis of the 'bonding' modes of a dimer of nearly touching nanowires where the leading-order eigenfrequencies and eigenmode distributions are shown to be a renormalization of those predicted assuming a local metal permittivity.
authors: Department of Mathematics , Imperial College London , London SW7 2AZ, UK.
authors: Ory
authors: 0000-0002-5608-2311
authors: O
authors: Schnitzer
authors: The Blackett Laboratory, Department of Physics , Imperial College London , London SW7 2AZ, UK.
authors: Vincenzo
authors: V
authors: Giannini
authors: The Blackett Laboratory, Department of Physics , Imperial College London , London SW7 2AZ, UK.
authors: Stefan A
authors: SA
authors: Maier
authors: Department of Mathematics , Imperial College London , London SW7 2AZ, UK.
authors: Richard V
authors: RV
authors: Craster
keywords: non-locality; plasmonics; singular perturbations; surface plasmons