运动非磁化等离子体中电磁波的相对论效应

Relativistic effects of electromagnetic waves in moving unmagnetized plasma

根据狭义相对性原理,应用Lorentz变换法则,从相对运动媒质静止参考系中的有关结论,获取了实验室参考系中所需结果。通过证明平面波相位是Lorentz不变量,指出实验室参考系中平面波解的存在性。由Lorentz变换导出了实验室参考系中平面波色散关系表示式,据此给出运动媒质的波动方程。由Lorentz变换导出运动媒质中平面波Maxwell方程。基于这些结果,应用Lorentz变换获得了平面波从自由空间垂直入射到各向同性运动等离子体半空间时反射波与透射波的有关特性。

According to the principle of relativity in the restricted sense, the Lorentz transformation rule is applied to obtain the needed results in the rest frame of the observer from the relative conclusions in the rest frame of the moving medium. The existence of a plane wave solution in the rest frame of the observer is explained through proving that the phase of a plane wave is a Lorentz invariant quantity. The dispersion relation of the plane wave in the rest frame of the observer is derived from the Lorentz transformation; thereby the wave equation in the moving medium is given. The Maxwell equations of the plane wave in the moving medium are also deduced from the Lorentz transformation. On the basis of the previous results, the Lorentz transformation is applied to obtain the properties of the reflected wave and the transmitted wave for a plane wave normally incident from free space on the plane surface of an isotropic homogeneous moving plasma half-space.