Relativistic Charged Particle Dynamics in Magnetic Mirrors

In high-field magnetic mirror devices, relativistic effects play a role in the confinement of high-energy electrons. For relativistic charged particles subject to an azimuthal magnetic vector potential, the confinement condition is derived. Power losses due to electromagnetic radiation from the acceleration of charged particles are shown to affect this confinement. Numerical calculations of electron trajectories between two current loops are provided, thus giving an estimate of the radiated power distribution in a simple magnetic mirror device.