Cherenkov FEL Reaction With Plasma-Filled Cylindrical Waveguide in FractionalD-Dimensional Space

Abstract

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.

Simulation of kerr nonlinearity: revealing initial state dependency

“…Our work exhibits importance as it is capable of determining the dynamical behavior of the externally driven Kerr nonlinear system, which has been analyzed in recent experiments. For example, the influence of different magnetic fields on electrical conductivity in nonlinear media has drawn attention for exhibiting interesting quantum effects [35][36][37][38]. Besides, it will also be beneficiary for the phase control of switching systems [18].…”

Electron acceleration in a warm, motional, magnetized plasma‐filled waveguide by twisted electromagnetic wave pulses

“…When an electron with finite initial energy is injected inside the waveguide, it interacts with the twisted TM mode, which is excited in the system, and accelerates along the waveguide length. [ 23,24 ] The interaction between the perpendicular magnetic field of the twisted wave induces a force $$$ \overrightarrow{v} \times {\overrightarrow{B}}_0 $$$ in the axial direction. [ 25–27 ] The electrons' resonance and the electromagnetic wave's electric field give rise to the acceleration of the electrons to high energies.…”

Wave Solutions of nonlinear model occurs in Telecommunications

“…[10][11][12][13][14][15][16][17][18][19]. The investigation of electromagnetic waves in various mediums has been undertaken [23][24][25][26].…”