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

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