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One method for electric field determination in the vicinity of infinitely thin electrode shells

机译：确定无限薄电极壳附近电场的一种方法

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摘要

One numerical method, the so-called equivalent electrodes method (EEM), has been applied to electric field calculation at planar and axially symmetric, extremely thin electrodes. The results obtained for characteristic impedance and effective relative dielectric constant of strip lines are presented, as well as electric field and potential distribution at geometrically modelled cable terminations. The accuracy of results of EEM depends on the number of used equivalent electrodes (EEs) and the error is inversely proportional to the selected number of EES. The method is very simple and exact and in limit process, with the number of the EES, gives exact results. However, in calculations certain problems may appear because of the increase EEs number, especially at very thin electrodes. The electric field being extremely high at the sharp electrode's ends, compared to other parts of the electrode, so it is possible to use smaller and denser EEs. The improvement proposed in this paper enables accurate calculation using a smaller number of EEs. Since the density of equivalent electrodes is higher, equivalent radii are smaller and EEs are not set at the same distances. The number of EEs in other regions is reduced. Some results obtained by the application of EEM have been compared with values obtained using the finite elements method (FEM) and very good matches have been identified.
机译：一种数值方法，即所谓的等效电极法（EEM），已应用于平面和轴向对称的极薄电极的电场计算。给出了带状线的特征阻抗和有效相对介电常数的结果，以及几何建模的电缆终端处的电场和电势分布。 EEM结果的准确性取决于所用等效电极（EE）的数量，并且误差与所选EES数量成反比。该方法非常简单和精确，并且在极限过程中，随着EES的数量，给出了精确的结果。但是，在计算中，由于EE数增加，可能会出现某些问题，尤其是在非常薄的电极上。与电极的其他部分相比，尖电极两端的电场极高，因此可以使用更小，更密集的EE。本文中提出的改进使得可以使用较少数量的EE进行准确的计算。由于等效电极的密度较高，因此等效半径较小，并且EE的距离不同。其他地区的EE数量减少了。通过应用EEM获得的一些结果已经与使用有限元方法（FEM）获得的值进行了比较，并且已经确定了很好的匹配项。

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