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

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

2009-02-13

arxiv.org/abs/0902.2284v2

J. Phys. A: Math. Theor. 42 (2009) 135204

Physics

Mathematical Physics

8 pages, 1 figure, to appear in: Journal of Physics A

Scientific paper

10.1088/1751-8113/42/13/135204

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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