Abstract
In the electrostatic analysis, we usually treat the effect of polarization charges on dielectric surface and true charges on conductor surface. When we solve problems with high permittivity using the surface charge method, we cannot get accurate solutions due to cancellation errors. In this paper we propose a novel approach to solve the problems with high permittivity. The boundary integral equation in the proposed method is derived by replacing the polarization charges by loop currents instead of surface charges used in the surface charge method. The proposed method is effectively applicable because it contains only one unknown. Besides, even though the loop current gives originally scalar potentials, Biot-Savart law gives directly the electric flux density. Finally, we have compared the proposed method and surface charge method by solving some typical examples.
