Surface-plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit

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Title: Surface-plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit
Authors: Schnitzer, O
Giannini, V
Maier, SA
Craster, RV
Item Type: Journal Article
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.
Issue Date: 6-Jul-2016
Date of Acceptance: 3-Jun-2016
URI: http://hdl.handle.net/10044/1/33376
DOI: http://dx.doi.org/10.1098/rspa.2016.0258
ISSN: 1364-5021
Publisher: The Royal Society
Journal / Book Title: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
Volume: 472
Issue: 2191
Copyright Statement: © 2016 The Author(s). Published by the Royal Society. All rights reserved.
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM110079
EP/L024926/1
Keywords: 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Article Number: 20160258
Appears in Collections:Condensed Matter Theory
Physics
Mathematics
Experimental Solid State
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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