Čerenkov emission from an axial-Wiggler-magnetoactive plasma

Abstract

The electrodynamics of a relativistic electron beam passing through a nonrelativistic plasma embedded in an axial-wiggler magnetic field has been worked out in the framework of nonequilibrium statistical mechanics as developed by Prigogine and co-workers. The emerging radiation has a synergic frequency that is a combination of the original frequency, the plasma frequency, and the cyclotron frequencies due to the axial and wiggler magnetic fields. An exact summation of the relevant diagrams in the Dyson series corresponding to the self-consistent-field approximation has brought out non-Markovian nonlinear aspects of optics. The change in polarization has been evaluated due to the presence of magnetic fields. The axial and wiggler fields remove the degeneracy in the electronic states, and the summation over the Landau levels discriminates between the spin-up and spin-down species. The measurement of the energy loss enables one to make an estimate of the population of these species.