Single electron acceleration in an isosceles right triangular waveguide

Abstract

Acceleration, dynamic and energy of a single electron in the isosceles right triangular waveguide under microwave radiation are investigated. Using Maxwell’s equation and boundary conditions, electromagnetic field components of TE and TM modes in the considered configuration are analytically calculated and the obtained results are graphically presented. By solving the obtained differential equations of electron motion in the considered waveguide by fourth-order Runge–Kutta method, electron acceleration in the presence of modes $$\text {TE}_{01}$$ and $$\text {TM}_{12}$$ is numerically studied. The electron trajectory in the waveguide, velocity components, total energy and kinetic energy of injected electron in the considered waveguide is plotted. Furthermore, analytical solutions for electron acceleration gradient and deflection angle in the presence of considered transverse electric mode are theoretically calculated by considering an approximation for electron motion in the waveguide and the obtained results are graphically investigated. The results for the vacuum and cold plasma-filled isosceles right triangular waveguide are studied.