Electric field calculation in composite dielectrics by surface charge method based on electric flux continuity condition

Abstract

SUMMARYWe propose a new surface charge method based on the continuity of electric flux passing through each partial area on the dielectric boundary. N partial areas divided on the boundary give the boundary equations for solving N unknown variables representing the surface charge density distribution. The electric flux is numerically calculated by integrating the normal component of electric flux density on each partial area. This method permits us to exclude the singularity of edge parts from the boundary equations because these parts do not contribute to the integration area. In this paper, we apply first-order functions to simulate both triangular surface shape and charge density distribution on its surface as well.First, we have computed the electric field for a spherical dielectric under a uniform field. The calculated results show that the accuracy of the electric field at the spherical center is almost equal to the accuracy of the total surface area of the polygon which represents the sphere. Furthermore, this method has improved the accuracy of the field by about one order compared with the conventional surface charge methods. Second, we have computed the electric field for a dielectric human model under a uniform field. The calculated results demonstrates that the proposed method works well for a complicated shaped object with a dielectric constant greatly different from that of an ambient medium. ©

Analysis of electric field induced by ELF magnetic field utilizing fast‐multipole surface‐charge simulation method for voxel data

“…Therefore, in SCM for voxel data, a practicable calculation speed can be obtained without sacrificing the accuracy of numerical surface integration during the preparatory calculation. The flux continuity condition [6] can be satisfied by improvement of the accuracy of numerical surface integration, particularly with regard to the continuity of the normal component of the flux density. Thus, due to the combination of the method of moments with (advantage 2), the flux continuity condition can be satisfied for each element, and as a result, Gauss's theorem can be satisfied globally.…”