Improved 3D boundary charge method for high-accuracy electric field calculation

Improved 3D boundary charge method for high-accuracy electric field calculation
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改进的 3D 边界电荷方法用于高精度电场计算

DOI:
10.1117/12.279392
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发表时间:
1997
影响因子:
5.1
通讯作者:
H. Shimoyama
H. Shimoyama
中科院分区:
医学2区
文献类型:
--
作者:
H. Murata;T. Ohye;H. Shimoyama

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在本文中,我们提出了一种改进的三维边界电荷法,用于高精度计算电场分布,其中需要对每个坐标分量的系数矩阵元素(等于势系数)进行微分。微分势系数称为场系数,用二重积分表示。我们发现,场系数的第一积分可以用与势系数相同的解析方法进行,从而在不损失精度的情况下极大地改进了电场分布的计算时间。作为这种方法在场分析中的实际应用,我们处理了场发射枪的失调二极管系统。
In this paper we propose an improved 3-D boundary charge method for high accuracy calculation of the electric field distribution, where differentiation of the coefficient matrix element (equals the potential coefficient) with respect to each coordinate component is needed. The differentiated potential coefficient, which is called the field coefficient, is expressed as a double integral. We have found that the first integral of the field coefficient can be done analytically in much the same ways as that of the potential coefficient, thereby greatly improving the computation time of the electric field distribution without any loss of accuracy. As a practical application of the method to field analysis, we have treated the misaligned diode system of a field emission gun.