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

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.