Electric potential in cylindrical nanocavities induced by time-dependent charge distributions

Abstract

The purpose of this work is to investigate the interaction of time-dependent external electric sources with the electronic modes induced in a cylindrical cavity of nanoscopic dimensions. We use the hydrodynamic model to describe the dielectric properties of the material, and solve the Poisson equation to obtain the induced fields inside the cavity. We consider different configurations of the external electric sources (point charge, extended charge distribution and electric dipole), with two types of time dependency: exponential pulse and harmonic oscillations. We analyze the enhancement of the field intensity in terms of the different relevant physical parameters, such as the cavity radius and the oscillation frequency.