Surface plasmon resonances of an arbitrarily shaped nanoparticle: high-frequency asymptotics via pseudo-differential operators

We study the surface plasmon modes of an arbitrarily shaped nanoparticle in the electrostatic limit. We first deduce an eigenvalue equation for these modes, expressed in terms of the Dirichlet-Neumann operators. We then use the properties of these pseudo-differential operators for deriving the limit...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2009-04, Vol.42 (13), p.135204-135204 (6)
Hauptverfasser: Grieser, D, Rüting, F
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container_title Journal of physics. A, Mathematical and theoretical
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creator Grieser, D
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description We study the surface plasmon modes of an arbitrarily shaped nanoparticle in the electrostatic limit. We first deduce an eigenvalue equation for these modes, expressed in terms of the Dirichlet-Neumann operators. We then use the properties of these pseudo-differential operators for deriving the limit of the high-order modes.
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Physics
title Surface plasmon resonances of an arbitrarily shaped nanoparticle: high-frequency asymptotics via pseudo-differential operators
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