像偶极子法计算导体颗粒簇团的偶极矩

计算均匀电场中颗粒簇团的偶极矩通常是困难的，这是因为颗粒间的相互耦合较难处理.这种相互耦合使颗粒的极化依赖于簇团的结构和大小.利用像偶极子法对这种耦合加以分析.首先，分别考虑了置于纵向和横向电场中的任意间距的等径导体球对，确定了各球上的像偶极子和像电荷及其分布.之后，计算了由4个置于正方形顶点和8个置于立方体顶点的导体球构成的簇团的偶极矩，并给出紧凑表达式.与先前的结果进行了比较，获得了很好的一致性. 关键词： 偶极矩 颗粒簇团 像偶极子法 分形

IMAGE DIPOLE METHOD FOR THE DIPOLE MOMENTS OF CONDUCTING PARTICLE CLUSTERS

Often it is difficult to calculate the dipole moments of clusters of conducting particles imposed to uniform electric fields, because of the difficulty in handling the mutual coupling between the particles. Such mutual coupling generally causes the polarization of the particles to be dependent upon the structures and the sizes of the clusters. In this paper, an image dipole method is employed for the analysis of this effect. First, a pair of two identical conducting spheres with arbitrary separation immersed in a longitudinal or transverse field is considered, and the image dipoles and image charges, and their distribution induced in each sphere are determined. Then, the dipole moments for the clusters with 4 and 8 spheres arranged on the vertexes of a square or a cube are estimated, and closed-form expressions are given. Comparison with previous calculations is made, and good agreement has been obtained.