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

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Grieser, Daniel
Rüting, Felix
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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.
Comment: 8 pages, 1 figure, to appear in: Journal of Physics A
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Mathematical Physics
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