各向异性、弱相对论性等离子体的一般色散关系的计算

在处理等离子体加热与不稳定性问题时,其核心是写出色散方程并求解出色散关系。本文给出了在有不均匀磁场、不均匀等离子体密度分布(如TOKAMAK中的等离子体)下,电磁波几乎角向射入具有各向异性、弱相对论性麦克斯韦分布的等离子体的一般色散方程和求解的程序。在等离子体中很重要的的双指标F_ij函数可展开成单指标的F_i函数,进而用等离子体色散函数求值。并发现从F_I采用F_ij的递推关系求诸F_ij函数的值的方法,因误差太大不能采用。

NUMERICAL STUDY ON GENERAL DISPERSION RELATION OF ANISOTROPIC AND WEAKLY RELATIVISTIC PLASMA

The key problem in heating and instability studies in plasma physics is to obtain dispersive equation and its solution. This paper presents the general dispersive equation and corresponding procedure, when electromagnetic wave nearly poloidally impinges on anisotropic, weakly relativistic Maxwellian plasma with inhomogeneous density in nonuniform magnetic field (such as plasma in TOKAMAK). The double index function Fij, significant in plasma physics, was expanded as single index function F1, and then the values were calculated by means of dispersive function. It was also pointed in the paper that the severe error involved in the calculation of Fij from F11 successively prevents the-technique of recurrence relation from being put into practice.