中文摘要：

本文对各向同性极端相对论快电子呈幂律分布等离子体中横振荡色散关系进行了解析和数值研究.得到长波支和短波支色散关系的解析表达式.由于解析近似对波数的限制,无法得到全波数空间色散曲线,因此对色散方程进行了数值求解.研究表明,在满足长波支和短波支条件时,解析色散曲线与数值色散曲线完全符合.此外,利用多项式回归的方法对数值结果进行拟合,得到不同参数下快电子分布等离子体横振荡色散关系近似表达式,该结果为进一步研究快电子分布等离子体的性质提供了重要的理论依据.

英文摘要：

Analytic and numerical study of electromagnetic oscillations of isotropic relativistic plasma with fast electron distribution is presented.Different analytic formulas for the long-wavelength and short-wavelength branches are obtained.The numerical study gives the dispersion curve in the whole wavenumber range.It is shown that analytical dispersion curves in the long-wavelength and short-wavelength regions are coincident with the numerical ones.Furthermore,the approximate expression of the dispersion law for the different parameters is given by fitting numerical curves with the polynomial regression method,which provides a reference for further study.