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矢量球函数在Rotamak等离子体中的应用
引用本文:韩敬,钟方川,陈龙溪.矢量球函数在Rotamak等离子体中的应用[J].东华大学学报(自然科学版),2008,34(6).
作者姓名:韩敬  钟方川  陈龙溪
作者单位:东华大学,理学院,上海,201620
基金项目:国家自然科学基金资助项目  
摘    要:现有的理论大多是在柱坐标下开展Rotamak旋转磁场(RMF)驱动等离子体电流的研究,但Rotamak是一球形装置,球效应有可能对等离子体电流驱动产生影响,因此有必要在球坐标下对Rotamak中旋转磁场驱动等离子体电流的基础过程进行分析.矢量球函数为这一研究提供了一个很好的工具.详细研究了矢量球函数的性质,并给出了矢量球函数的递推公式,讨论了一般矢量场和Rotamak等离子体中矢量场的矢量球函数表示.

关 键 词:矢量球函数  等离子俸  矢量场

Application of Vector Spherical Harmonic Function in a Rotamak Plasma
HAN Jing,ZHONG Fang-chuan,CHEN Long-xi.Application of Vector Spherical Harmonic Function in a Rotamak Plasma[J].Journal of Donghua University,2008,34(6).
Authors:HAN Jing  ZHONG Fang-chuan  CHEN Long-xi
Abstract:The existing analysis mostly carries out the fundamental research of rotating magnetic filed (RMF) driving plasma current in Rotamak under the cylindrical coordinate. But Rotamak is a spherical device. The spherical effect is likely to have the influence on the current drive. Therefore it is necessary to carry out the fundamental research of RMF current drive in Rotamak under the spherical coordinate. The vector spherical harmonic function provides a good tool for this research. The feature of the vector spherical harmonic function is studied and the recursion formula of the function is presented. The expressions of the general vector field and the vector spherical harmonic function in a Rotamak plasma are discussed.
Keywords:Rotamak
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