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均匀导电球头模型中偶极子电位的一般性解析解 被引量:8

General formulas of electric potential produced by a dipole in a spherical medium
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摘要 位于均匀容积电体球中的偶极子电位的计算是脑电、脑磁理论研究中的基础性工作,文献中尚未给出一般情况下的解析解。本文导出了以Legendre级数和直角坐标两种方式表示的这一问题的一般性解析解,所得公式既适合于球面上也适合于球内位场的计算,而且没有任何不确定性,从而为进一步开展有关研究奠定了基础。 The calculation of electric potential produced by a dipole in a spherical conducting medium is a basic problem in the theoretical research of EEG and MEG, However, there exist no generad formulas in literature till now. In this paper, the general formulas expressed by Legendre function and cartesian coordinates are derived. It may be used everywhere except the source point, and thus it may be used as a basic formula in research in the future.
作者 尧德中
出处 《中国医疗器械杂志》 CAS 1994年第6期314-318,共5页 Chinese Journal of Medical Instrumentation
关键词 球头模型 解析解 偶极子电位 脑电 脑磁 Spherical brain model, Close solution, Electric potential of a dipole
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同被引文献49

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  • 2王云华,杨福生.脑电图的三维映射成象[J].中国医疗器械杂志,1993,17(4):187-194. 被引量:10
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