An improved description of magnetic fringing field
An improved description of magnetic fringing field
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DOI：
10.1016/j.nima.2004.11.008
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发表时间：
2005-03
影响因子：
1.4
通讯作者：
S. Kato
中科院分区：
文献类型：
--
作者：
S. Kato
提出了一种描述磁场的新方法。传统的方法通过终止Maclaurin展开式的有限导数阶求和来得到二维磁场分布，而我们使用复变函数方法将展开式求和到无穷大。精确求和显示了奇点的出现，但没有人注意到。由于传统的经验函数在二维空间中产生了许多不应该存在的奇点，我们推导出了一个新的经验函数，它的奇点位于它们应该位于的位置。新功能可以在我们需要场信息的全区域内无缝地、非常精确地再现二维场分布。
A new method of describing the magnetic fringing field is proposed. While the traditional method gives the two-dimensional magnetic field distribution by terminating the summation of the Maclaurin expansions at a finite derivative order, we summed the expansions up to infinity using the complex variable method. The exact summation shows an occurrence of singularities to which no attention has been paid. Because the traditional empirical function causes many unnecessary singularities where there should not be in the two-dimensional space, we derived a new empirical function whose singularities are located where they should be. The new function can reproduce the two-dimensional field distribution seamlessly and very precisely in the full region where we need the field information.