Electric field calculation in composite dielectrics by surface charge method based on electric flux continuity condition
Electric field calculation in composite dielectrics by surface charge method based on electric flux continuity condition
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基于电通量连续性条件的表面电荷法计算复合电介质电场
DOI：
10.1002/eej.1133
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发表时间：
2002
影响因子：
0.4
通讯作者：
T. Takuma
中科院分区：
文献类型：
--
作者：
S. Hamada;T. Takuma
本文提出了一种新的表面电荷法，它是基于电通量在介质边界上的连续性。在边界上划分的N个部分区域给出用于求解代表表面电荷密度分布的N个未知变量的边界方程。通过对每个部分区域上的电通量密度的法向分量进行积分来数值计算电通量。这种方法允许我们从边界方程中排除边缘部分的奇异性，因为这些部分对积分区域没有贡献。在本文中，我们应用一阶函数来模拟三角形表面形状和其表面上的电荷密度分布。
We 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.