An Integral Equation Technique for Solving Rotationally Symmetric Electrostatic Problems in Conducting and Dielectric Material

Abstract

In this paper a short survey of the available numerical techniques for solving electrostatic problems is given. It is determined that techniques based on integral equations have several advantages over other available techniques which are used to solve Laplace's equation. A pair of integral equations is derived which can be used to solve Laplace's equation in regions containing conductor-dielectric and dielectric- dielectric boundaries. A computer program to solve these equations in the case for geometries with axial symmetry is described. Results based on this program are given.