等离子体色散函数的计算方法

本文推出了复宗量ξ=x+iy的误差函数的级数表达式。在这一基础上,对0≤y≤1,|x|≤10宗量区,给出了较高精度的等离子体色散函数Z及其微商Z'的计算方法。进而,对复平面ξ的各个区域,系统地研完了等离子体色散函数和相应的计算方法;在VAX—11/750计算机上得到了满意的结果,文章对这些结果,所用方法及其精度作了讨论;分别对y≥0和y<0,描述了Z和Z'的基本行为。

METHODS FOR COMPUTATION OF PLASMA DISPERSION FUNCTION

Based on the derivation of series expressions for error function of complex argument ξ=x+iy, the methods for computation, to high accuracy, of plasma dispersion function Z and jts derivative Z' in the region |y|≤1, |x|≤10 have been given in this paper. Furthermore, the plasma dispersion function and the suitable methods for its computation are studied systematically in varisus regionsl of complex ξ Plane; the satisfactory results are obtained on VAX-11/750 computer; these results, the used methods and its accuracy have been disccused; the fundamental behavior of Z and Z' for y≥0 and y<0 have been discribed respectively in the paper.