Theory of Electron-Oscillations in Non-uniform Plasmas

抄録

For a system consisting of a medium-plasma and an externally injected beam with non-uniform density and temperature, electron-plasma oscillations are described on the basis of linear macroscopic equations. In the one-dimensional case the spatially growing plasma wave and the standing plasma wave are discussed. It is found that in the former a wave propagating towards descreasing density grows up higher than in the uniform case; in the latter the wave-length becomes shorter towards lower density and jumps of mode and frequency occur at a thickness of the layer greater than that in the uniform plasma. Towards increasing density the circumstances mentioned above are reversed. Finally a brief account is given on the two-dimensional case.