EM wave propagation within plasma-filled rectangular waveguide using fractional space and LFD

被引:15
作者
Ali, A. Refaie [1 ]
Eldabe, N. T. M. [2 ]
Abd El Naby, A. E. H. [3 ]
Ibrahim, M. [3 ]
Abo-Seida, O. M. [4 ]
机构
[1] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm 32511, Menofia, Egypt
[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[3] Damietta Univ, Fac Sci, Dept Math, New Damietta, Egypt
[4] Kafr El Sheikh Univ, Fac Comp & Informat, Kafr El Shaikh, Egypt
关键词
ELECTROMAGNETIC-FIELD; EQUATION;
D O I
10.1140/epjs/s11734-023-00934-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper aims to investigate the propagation of the electromagnetic (EM) within the rectangular waveguide that is filled with plasma. A rapid Cherenkov free electron laser ( C-FEL) beam was injected into the plasma to excite its natural oscillations and, therefore, an EM wave was generated. We focused on TM-mode propagation through this waveguide. Exact solutions of the EM wave equation have been found using both the Laplacian operator in the fractional D-dimensional space and the local fractional derivative (LFD). The fractional solutions have been converted into classical results to simulate the usual behavior of the waves. It has been found that the well-known Bessel, Neumann, and Mittage-Leffler functions are observed and their propagation is directly proportional to fractional parameters.
引用
收藏
页码:2531 / 2537
页数:7
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