Solutions for the electric potential and field distribution in cylindrical core-shell nanoparticles using the image charge method

Abstract

This article considers the problem of finding the electrostatic potential that is given in terms of a scalar function called Green function in dielectric cylindrical nanoparticles with core-shell structure using the image charge method. By using this method that allows us to solve differential form of electric potential problem by the Green function, we investigate the distribution of the electric field in the configuration of a cylindrical nanoparticle surrounded by a continuum dielectric medium. By utilizing this well-known method, we obtain exact analytical formulas for the electrostatic potential and the electric field inside the shell, core and surrounding space of nanoparticle that can be applied to analysis of electromagnetic problems, electrostatic interactions in biomolecular simulations and also computer simulations of condensed-matter media.