ABSTRACT Axisymmetric potential fields among disk conductors are an important consideration for evaluation and testing of near field electric field gradients in electrical systems. As contrasted with numerical methods, analytical methods give exact solutions via the fundamental symmetry, and, in addition, we can compare the solutions to the accuracy of the test procedure. Analysis and superposition of the disk potentials is a valuable way to study the optimal characteristics of the fringing fields in dielectric systems. Cylindrical and ellipsoidal coordinate based analytical approaches are provided for the determination of the theoretical potentials in disk electrode systems.

中文翻译：

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薄圆盘周围解析势的轴对称计算

摘要盘状导体之间的轴对称势场是评估和测试电气系统中近场电场梯度的重要考虑因素。与数值方法相比，解析方法通过基本对称性给出精确解，此外，我们可以将解与测试程序的准确性进行比较。盘电位的分析和叠加是研究介电系统边缘场最佳特性的一种有价值的方法。提供了基于圆柱和椭球坐标的分析方法，用于确定圆盘电极系统中的理论电位。