计算复杂场域静电场问题的多极理论

Multipole Theory of Computation Electrostatic Field Problems with Complicated Field Domain

  • 摘要: 从分段圆弧边界、分片球面边界条件下静电场分析的多极理论通解出发,推导出复杂场域静电场边值问题的多极理论通解,和能用多极理论解析求解的边界形状参数及其使用规则,并通过两个实例计算验证其正确性。计算结果表明,多极理论的计算精度是相当高的。

     

    Abstract: This paper deduces the MT(Multipole Theory) general solution formula of computation electrostatic field problems with the complicated field domain,from the MT general solution formula of the special electrostatic field computation.The boundary shape parameter is also deduced and the laws under which an analytical solution can be obtained by the MT is introduced.The MT general solution formula is used to calculate two examples for checking its calculation precision.It is shown that the MT has a lot of merits.

     

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