电磁波的非线性动力理论

NONLINEAR KINETIC THEORY OF ELECTROMAGNETIC WAVE

使用全动力途径，严格地推导了左旋圆极化电磁波的非线性色散关系。所得到的色散关系被用来分析电子Ｂｅｒｎｓｔｅｉｎ波和高杂波所激发的电磁辐射。结果表明：（１）电子Ｂｅｒｎｓｔｅｉｎ波可以激发频率上移辐射，也可以激发频率下移辐射，这取决于背景等离子体频率ωｐｅ与电子回旋频率Ωｅ的比值大小；（２）高杂波只能激发频率下移辐射；（３）当电子Ｂｅｒｎｓｔｅｉｎ波位于高杂共振层时．频率上移辐射和频率下移辐射可以同时发生。这些理论结果为托卡马克实验中的上移回旋辐射及电离层加热实验中的一些奇特现象的解释，提供一种新的理论依据。

Using a full kinetic approach nonlinear dispersion relations of left-handed circularly polarized electromagnetic wave (along B0 ) are rigorously derived.These relations are used to analyse electromagnetic wave excited by the electron Bernstein wave and the upper hybrid wave. It is found that (1) electron Bernstein pump can excite either up-shifted or down shirted radiation, depending on the ratio of ωpe to Ωe; (2) however, an upper hybrid pump can excite only the down shifted radiationl and (3) when electron Bernstein Pump is at the upper hybrid resonance layer, it can excite both up-shifted and down shifted radiations simultaneously. These results provide a new-argument for explaining the up-shifted cyclotron radiation in tokamak and some peculiar phenomena in ionospheric heating expcrmicnts.