Image polarization and dipole moment of a cluster of two similar conducting spheres

Johan Sten (Corresponding Author), Keijo Nikoskinen

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)


The method of images is applied for calculating the electric polarizability of a cluster of two similar perfectly conducting spheres.
The image dipole density functions, which describe the source of the field response of the cluster, take the form of point and constant line dipole distributions located on the axis connecting the two spheres.
The amplitude coefficients of these sources obey recursive relations. In the present analysis, the means to determine these coefficients is provided along with exact results in the limiting case of contact between the spheres.
The behaviour of the total dipole moment is illustrated graphically for different orientations of the exciting field as a function of the interparticle distance.
The theory may be applied in the study of low-frequency scattering from a conducting particle pair or when estimating the average permittivity of media composed of pair clusters.
Original languageEnglish
Pages (from-to)267-277
JournalJournal of Electrostatics
Issue number2-3
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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