Effective 3-dimensional electric field calculation by surface charge simulation method
Effective 3-dimensional electric field calculation by surface charge simulation method
复制标题
通过表面电荷模拟方法进行有效的三维电场计算
DOI：
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
W. Zaengl
中科院分区：
文献类型：
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作者：
Shuji Sato;W. Zaengl
详细介绍了基于傅立叶型电荷的三维表面电荷模拟方法的快速准确的静电场计算技术。这些技术包括：（a）直接的势和场系数公式，（B）用半整数次环形函数Qm− 1/2（x）计算第二类勒让德函数，（c）高速积分和（d）引入相关的环形函数Sm− 1/2（x）。作为应用的例子，分析了带有球形介质的倾斜半球形圆柱电极，并给出了结果。
Details concerning fast and accurate electrostatic field calculation techniques based on the 3-dimensional surface charge simulation method by means of Fourier-type charges are presented. The techniques range over (a) the direct potential and field coefficient formulas, (b) a computation of Legendre function of the second kind with half integer degree—toroidal function Qm−½(x), (c) a high-speed integral and (d) an introduction of the associated toroidal function Sm−½(x). As an example for application, a tilted hemispherically tipped cylindrical rod electrode with a spherical dielectric is analysed and the results are demonstrated.