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变态旋转双极坐标系和它的新应用
摘    要:本文导出变态旋转双极坐标系和轴叶称的拉普拉斯方解.这个解则被用来求解在均匀垂直场中置于接地平面上的多层介质结构的静电问题.置于均匀场中接地平面上的简单导电球的特殊情况被用来校验本文作者以前用镜象法首先求出的在球顶部的场强值.

关 键 词:变态双极坐标  拉普拉斯方程  拉法向量  垂直场

THE ROTATIONAL DEGENERATED BIPOLAR COORDINATE SYSTEM AND ITS NEW APPLICATIONS
Authors:Lin Weigan
Abstract:The rotational degenerated bipolar coordinates and the solution of Laplace equation for axial syrnmetry are developed in this paper This solution is then is then used to solve the electrostatic of a dielectric structure of multi-layers,resting on an carthed plane in a uniform perpendlar field,the earthed plane in a uniform field is used to check the value field strength at the top of the sphere found firsck by this author previously by the rnethod of images.
Keywords:degenrated bipolar coordinates  Laplce equation  potential normal component  perpendicular field
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