ELECTROSTATIC IMAGE THEORY FOR THE DIELECTRIC SPHERE
ELECTROSTATIC IMAGE THEORY FOR THE DIELECTRIC SPHERE
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DOI：
10.1029/91rs02255
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发表时间：
1992-01-01
期刊：
影响因子：
1.6
通讯作者：
LINDELL, IV
中科院分区：
文献类型：
--
作者：
LINDELL, IV
由开尔文反演理论产生的导电球中点电荷的图像，自1848年提出以来就已广为人知。 对于电介质球，不存在相应的点电荷理论。 本文发展了介质球的静电像理论，包括球内外场的静电像理论。 简单的解析表达式在一个点电荷和线电荷被认为是在这两种情况下出现。 理论扩展到偶极子和线源的简单图像。 指出了新表达式在人工介质中介电球形粒子相互作用的准静态简化分析中的可能应用。
The image of a point charge in a conducting sphere, produced by Kelvin's inversion theory, has become well known since its formulation in 1848. The corresponding theory in terms of point charges does not exist for the dielectric sphere. In the present paper, electrostatic image theory for the dielectric sphere, both for the field outside and inside of the sphere, is developed. Simple analytic expressions in terms of a point charge and a line charge are seen to arise in both cases. The theory is extended to give simple images for dipole and line sources. Possible application of the new expressions in simplified quasi-static analyses of interactions of dielectric spherical particles in artificial dielectric media is pointed out.