RADIATIVE ENERGY LOSS BY RELATIVISTIC ELECTRONS IN THE PRESENCE OF A STATIC MAGNETIC FIELD AND OSCILLATING ELECTRIC FIELD AT THE ELECTRON CYCLOTRON RESONANCE
Mario Acevedo-Portela, Juan Chang-Liang, Joel Arocho-Rivera, Carola Cruz-Molina.
Polytechnic University of Puerto Rico, San Juan, PR.
In particle orbit theory, charges interacting with electromagnetic fields may accelerate to very high speeds by virtue of the Lorentz force. Often particles can attain speeds that are comparable to that of light, and with it relativistic effects come into play. However, the Lorentz force does not account for the radiation reaction by the electron’s self-field as it accelerates through the applied electromagnetic field. This can potentially affect the dynamics of the system. The objective of this investigation is to study the observable effects of particle trajectories in the relativistic regime with the inclusion of the radiation reaction. A classically based particle kinematics MATLAB code was modified to implement relativistic corrections in order to attain reliable numerical approximations of single particle motion subject to static non-uniform magnetic fields and time varying electric fields. As part of the particle trajectory simulation, the radiation loss back-reaction was added to the force calculated from the ambient electric and magnetic fields at each step in the simulation. Verification that radiation loss was present was calculated using the Lienard generalization of the Larmor formula. Electron cyclotron resonance accelerations were studied for a static magnetic field and a resonating electric field. Our results suggest that at relativistic speeds, the dynamics of the particle are highly dominated by relativistic effects; however, the radiation back-reaction had little influence over the motion of the particle. Relativistic single particle motion lays the foundation for multi-particle systems for macroscopic groups of charges to simulate collective behavior of ion populations in plasma.