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本文导出了无外磁场电子注在等离子体约束下其上传播的空间电荷波波动方程，详细讨论了该条件下的波特性，并对等离子体频率降低因子进行了分析．研究表明，等离子体填充状况对空间电荷波性质影响甚大，选择等离子体填充因子可对空间电荷波性质进行适当的控制．
In this paper, the wave equation of the space charge wave propagating on the external magnetic field-free electron under plasma confinement is deduced. The characteristics of the wave under this condition are discussed in detail, and the frequency reduction factor of the plasma is also analyzed. The results show that plasma filling has a great influence on the properties of space charge waves. The choice of plasma fill factor can control the space charge wave properties properly.