In this research, the excitation of hybrid electromagnetic waves in a complex dielectric-plasma waveguide is investigated semianalytically using the perturbation method and applying the suitable boundary conditions. Under this study waveguide combines circular and elliptical geometries, eccentrically. This elliptical waveguide has been filled with a dielectric material, whereas two axial hollows with circular section have been created in its focuses. In one of the hollows, there is an axial strongly magnetized plasma and a relativistic solid circular electron beam (RSCEB) is injected inside the other hollow. In addition, the growth rate of slow waves amplified by the electron beam is numerically calculated. The effects of accelerating voltage, current density of RSCEB, and geometrical parameters, such as radii of plasma column and electron beam, on the growth rate, electric field profile, and the frequency spectra are studied. Finally with considering the results, we will propose the optimum configuration to obtain maximum amplification of slow waves.

中文翻译：

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确定包含强磁化等离子体圆柱的复杂椭圆介质波导中波放大特性的半解析解

在这项研究中，使用微扰方法并应用合适的边界条件，半解析地研究了复杂介电等离子体波导中混合电磁波的激发。在这项研究中，波导偏心地结合了圆形和椭圆形几何形状。该椭圆形波导填充有介电材料，而在其焦点处形成了两个圆形截面的轴向空心。在其中一个空洞中，有一个轴向强磁化等离子体，而相对论固体圆形电子束 (RSCEB) 被注入另一个空洞内。此外，还对电子束放大的慢波的增长速度进行了数值计算。加速电压、RSCEB 的电流密度和几何参数的影响，如等离子柱和电子束的半径，对生长速率、电场分布和频谱进行了研究。最后考虑到结果，我们将提出最佳配置以获得最大的慢波放大。