In natural and laboratory magnetized plasmas, an equilibrium electric field may exist perpendicular to the background magnetic field. In such a situation all the plasma species experience a common drift and the equilibrium distribution functions have a common shift in velocity space. The susceptibility tensor is derived for such a situation using the characteristics and then the Lorentz transformation method is adopted to verify the results. As an application we give an analysis of the waves propagating parallel to the background magnetic field for a simple electron plus single charged ion plasma. It is predicted that the presence of a transverse equilibrium electric field can drastically change the wave propagation only if the wave frequency is close to the plasma Langmuir frequency.

在天然和实验室磁化等离子体中，垂直于背景磁场的方向上可能存在平衡电场。在这种情况下，所有等离子体物质都会经历共同的漂移，并且平衡分布函数在速度空间中具有共同的漂移。利用这些特征，针对这种情况导出磁化率张量，然后采用Lorentz变换方法对结果进行验证。作为一种应用，我们对一个简单的电子加一个带电的离子等离子体，分析了与背景磁场平行传播的波。据预测，只有当波频率接近等离子体朗缪尔频率时，横向平衡电场的存在才能大大改变波的传播。