Image Charge Method of Electrostatic Calculation in N Components System

摘要

Several methods of calculation can be used to establish the potential and the field generated in the space by a charge distribution. This present work deals with one of them called the electrostatic image method. We provide a general technique to efficiently calculate the electrostatic potential in dielectric media separated by plane interfaces. The same methodology can be applied to the case of a conducting spherical interface. The basic idea of the method is to take advantage of the properties of the image operator self inverse by a plane or conducting spherical interfaces. The successive image charges due to the neighbouring interfaces are obtained recurrently for the N dielectric media (vector approach). In each media, the electrostatic potential and the field is the one due to the set of successive image charges.