导体椭球面上电荷分布的尺度分析法

The Method of Scale Transformation for Charge Distribution on the Surface of an Ellipsoidal Conductor

从电磁尺度变换关系出发,考虑了由于尺度伸缩所引起的空间电磁特性的变化,得到了导体椭球上的电荷分布表达式,在椭球的三个半轴相等时,该表达式退回到导体球上的电荷分布;将所得结果与有关文献结果进行了数值比较,发现本文所得结果优于有关文献结果。

The expression of electric charge distribution on the surface for an ellipsoidal conductor is presented by utilizing the electromagnetic scale-transformation and the space electromagnetic characteristic. This expression is in agreement with that for a conductor sphere when the three semi-axis a, b and c are equal. The results obtained are compared with that in the literature which shows that the result in this article is better than those in the literature.