On the magnetic field of an infinitely long helical line current

Hagel R.; Gong L.

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On the magnetic field of an infinitely long helical line current

机译：无限长的螺旋线电流的磁场

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This paper presents the calculation of the low-frequency magnetic field of an infinitely long helical solenoid. Helical solenoids can be applied, e.g., to investigate superconducting coils, twisted wires and the levitation of molten metals. With the aid of a series expansion of the reciprocal distance between the observation point and a variable point of the line current, which is a substitute for the spatial current distribution, the magnetic vector potential is calculated. This approach makes is possible to express also the magnetic field in the form of a series. Explicit formulas for the magnetic field inside and outside the solenoid are developed which include modified Bessel functions and their derivatives. Some properties of the magnetic field are shown.

机译：本文介绍了无限长螺旋螺线管的低频磁场的计算。可以使用螺旋螺线管，例如研究超导线圈，双绞线和熔融金属的悬浮。借助于观测点和线电流的可变点之间的倒数距离的串联扩展，该距离可替代空间电流分布，从而计算出磁矢量电势。该方法使得也可以以串联的形式表达磁场。开发了螺线管内部和外部磁场的显式公式，其中包括修改后的Bessel函数及其导数。显示了磁场的一些特性。

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《IEEE Transactions on Magnetics》 |1994年第1期|P.80-84|共5页
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Hagel R.; Gong L.;
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中图分类磁性材料、铁氧体;
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On the magnetic field of an infinitely long helical line current

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