Surface plasmon dispersion on a single-sheeted hyperboloid

Abstract
The surface-plasmon dispersion relation is obtained for a single-sheeted hyperboloid of revolution. The effects of retardation are neglected, and the electric potential is obtained from Laplace's equation in oblate spheroidal coordinates. Our results are applicable to the description of eigenmodes for a submicron hole in a material which may be supposed to have a local dielectric function.

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