Hydrodynamical model for bulk and surface plasmons in cylindrical wires

In this paper, we study the electrostatic surface and volume modes of a cylindrical wire using the hydrodynamical model of plasmon excitation, which allows all analytical study of dispersion effects. We solve the hydrodynamical equations for a cylindrical wire geometry, obtaining new analytical expressions for the bulk and Surface modes. New dispersion relations are obtained for each type of mode and numerical Solutions are given. We analyze in detail the characteristics of the Solutions and their differences with previous treatments based oil non-dispersive models. These differences become important for wires of small radii, particularly ill the range of few nanometers. (C) 2008 Elsevier B.V. All rights reserved.