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Cherenkov FEL Reaction With Plasma-Filled Cylindrical Waveguide in Fractional D-Dimensional Space
IEEE Transactions on Plasma Science ( IF 1.5 ) Pub Date : 2021-06-14 , DOI: 10.1109/tps.2021.3084904
Osama M. Abo-Seida , Nabil T. M. El-dabe , A. Refaie Ali , G. A. Shalaby

The possibility of generating an electromagnetic (EM) wave by a free-electron laser (FEL) beam from the Cherenkov device to control the cylindrical waveguide’s field attenuation filled with plasma has been investigated by analytical formalism. This new study sheds light on Cherenkov FEL (C-FEL) beam interaction with electrons of inhomogeneous warm plasma to generate an EM wave in fractional dimensional space. The new analysis of traveling and standing waves in terms of Hankel and Bessel functions paves a way for introducing controlled EM wave propagation based on fractional $D$ -dimensional space. It has been found that the C-FEL beam excites the EM wave and enhances the propagation of the electrical field through fractional dimensional space with propagation constant depending on the Langmuir frequency. Within the plasma in the cylindrical waveguide, a TM mode emerges, which contains spatial frequencies with a faster growth rate for traveling waves than standing waves.

中文翻译:

Cherenkov FEL 反应与等离子填充圆柱波导的分数 D-维度空间

已经通过分析形式研究了通过来自 Cherenkov 设备的自由电子激光 (FEL) 光束产生电磁 (EM) 波以控制充满等离子体的圆柱形波导的场衰减的可能性。这项新研究阐明了切伦科夫 FEL (C-FEL) 光束与非均匀暖等离子体的电子相互作用,以在分数维空间中产生电磁波。根据汉克尔和贝塞尔函数对行波和驻波的新分析为引入基于分数阶的受控电磁波传播铺平了道路 $D$ 维空间。已经发现,C-FEL 光束激发 EM 波并增强电场通过分数维空间的传播,传播常数取决于朗缪尔频率。在圆柱形波导中的等离子体中,出现了 TM 模式,其中包含行波增长速度比驻波增长速度更快的空间频率。
更新日期:2021-07-23
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