Study of electron cyclotron waves in magnetospheric plasma of an outer planet has been a subject of great interest. Inspired with a series of papers published in this field, we have recently discussed the cases of homogeneous DC electric field and of AC electric field taken perpendicular to magnetic field, and of AC electric field taken parallel to magnetic in the magnetosphere. Our results have been very different from those published earlier, which have been found erroneous. We have now discussed propagation of electron cyclotron waves when inhomogeneous electric field is perpendicular to magnetic field in the magnetosphere of an outer planet. We have again found that earlier results for inhomogeneous electric field are erroneous. Further, for propagation of waves parallel to magnetic field, present results are found similar to the case of homogeneous DC electric field, discussed earlier, exhibiting that it does not matter if the perpendicular DC electric field is homogeneous or inhomogeneous.

对外星球的磁层等离子体中的电子回旋波的研究已经引起人们极大的兴趣。受到在该领域发表的一系列论文的启发，我们最近讨论了磁层中均匀DC电场和垂直于磁场的AC电场以及平行于磁场的AC电场的情况。我们的结果与先前发表的发现有很大不同，后者被发现是错误的。现在，我们已经讨论了当不均匀电场垂直于外行星磁层中的磁场时电子回旋波的传播。我们再次发现，不均匀电场的早期结果是错误的。此外，为了传播平行于磁场的波，