Vertical asymmetry of the helical magnetic-field ripple in torsatrons and heliotrons

Vertical asymmetry of the helical magnetic-field ripple in torsatrons and heliotrons
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托萨管和日光管中螺旋磁场脉动的垂直不对称性

DOI:
10.1063/1.873119
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发表时间:
1998
期刊:
影响因子:
2.2
通讯作者:
M. Smirnova
M. Smirnova
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
M. Smirnova

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本文讨论了扭转加速器和日光加速器中产生垂直非对称螺旋场涟漪的可能原因[K。Uo,J. Phys. Soc. Jpn. 16,1380(1961)]。利用磁场强度沿场线沿着的谐波展开,分析了现今l=2的扭转加速器/螺旋加速器的真空磁位形。结果表明,这种配置的一个典型特征是其螺旋场涟漪的垂直不对称性。扭转加速器和日光加速器中这种垂直不对称的涟漪是由磁场傅立叶频谱中螺旋卫星谐波的存在引起的。在远离准螺旋对称的配置中,由于这些谐波效应,次级磁威尔斯沿着场线的深度不仅在环的内部和外部不同,而且在环的上部和下部也不同。
Possible reasons are considered for the vertically asymmetric helical field ripple to occur in torsatrons and heliotrons [K. Uo, J. Phys. Soc. Jpn. 16, 1380 (1961)]. Vacuum magnetic configurations of present day l=2 torsatrons/heliotrons are analyzed using a harmonic expansion of the magnetic-field strength along a field line. It is shown that a typical feature of such configurations is a vertical asymmetry of their helical field ripple. This kind of vertical asymmetry of the ripple in torsatrons and heliotrons is caused by the presence of the helical satellite harmonics in a Fourier spectrum of the magnetic field. In configurations that are far from the quasihelically symmetric, due to these harmonics effects, the depth of the secondary magnetic wells along field lines can differ not only inside and outside the torus, but also in the upper and lower parts of the torus.