The theory of electrostatic (or, more accurately, slow electric or quasi-electrostatic) waves propagation in 1-D magnetized plasma periodic structures, at frequencies below both the plasma and cyclotron frequencies, is presented using the transfer matrix method. It assumes that the applied static magnetic field is perpendicular to the surface of the plasma layers. The dispersion relation of the waves is obtained and it is shown to break up into bands of allowed and forbidden propagation, which are conspicuous in periodic structures. Furthermore, the transmittance behavior of the electrostatic waves as a function of frequency is studied. At a fixed value of the wavenumber, the frequency range of forbidden band gaps is found to become smaller by increasing the plasma width, while the forbidden band gaps become broader as external magnetic field increases.

中文翻译：

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一维磁化等离子体周期结构中的静电波传播

静电（或更准确地说，慢电或准静电）波在 1-D 磁化等离子体周期结构中传播的理论，在低于等离子体和回旋加速器频率的频率下，使用传递矩阵方法提出。它假设施加的静磁场垂直于等离子体层的表面。获得了波的色散关系，并表明它分裂成允许和禁止传播的带，这在周期性结构中很明显。此外，研究了作为频率函数的静电波的透射行为。在波数固定值下，通过增加等离子体宽度，发现禁带隙的频率范围变小，