用试验粒子法求有外磁场影响时准平衡态下的等离子体气体的散射功率谱

本文应用Rosenbluth和Rostoker提出的试验粒子迭加原理,但采取与其不同的数学方法,推导出与其他作者相同结果的有外磁场影响时准平衡态下的等离子体气体的散射功率谱。本文仍从伏拉索夫方程和泊松方程出发,但采用解微分方程和反复作傅里叶变换的途径。本方法的关键是通过卷积定理把电子浓度涨落的时间自相关函数与能通过带电粒子的无干扰轨道直接计算出来的函数(这里有图片19820407-312-1.GIF)联系起来。过程较为简明,物理意义清楚。

USING THE DRESSED TEST PARTICLE APPROACH TO DEDUCE THE SCATTERING POWER SPECTRUM OF RADIO WAVES BY A QUASI-EQUILIBRIUM IONIZED GAS IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD

The expression of scattering power spectrum of radio waves by a quasi-equilibrium plasma in the presence of a magnetic field had been previously obtained by a number of authors with respective methods in investigating the incoherent scatter theory.Their results,based on the Boltzmann equation,are identical.In this paper,using the dressed test particle approach given by Rosenbluth and Rostoker (1962),but employing a diffrent mathematical thechnique from theirs,the same result is obtained.We still start from the Vlasov equation and the Poisson equation,but adopt the way of solving differential equation and repeatly taking Fourier transform.The key lies in applying the convolution theorem to relate the time autocorrelation of electron density fluctuations with the function (这里有图片19820407-312-1.GIF) which can be directly calculated from the unperturbed orbits of charged particles.Hence the procedure is comparatively concise and straightforward.