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The error evaluation of the electric field strength in the charge simulation method

机译:电荷模拟法中电场强度的误差评估

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In the calculation of the electric field with the charge simulation method, it is difficult to judge the magnitude of the field strength in the area, especially the accuracy of the field strength. It is found that with a common rod-plane electrode arrangement the accuracy of the curvature radius of the calculation is consistent with the error of the field strength. This situation is due to the use of the derivative in the calculation, and the field strength itself is the gradient of the potential. Therefore, a criterion for the field strength is obtained, which can be used in an unbounded area with an electrode with a definitive curvature radius. The authors give formulas for the potential and its derivative for a finite charged line and a semi-infinite charged line (including mirror charges).
机译:在利用电荷模拟方法计算电场时,难以判断该区域中的场强的大小,尤其是场强的精度。已经发现,对于普通的杆-平面电极布置,计算的曲率半径的精度与场强的误差一致。这种情况是由于在计算中使用了导数,场强本身就是电位的梯度。因此,获得了场强的判据,该判据可在具有确定曲率半径的电极的无界区域中使用。作者给出了有限带电线和半无限带电线(包括镜像电荷)的电势及其导数的公式。

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