Dispersion analysis and calculation on Cherenkov radiation of an accelerated electron beam in poloidal magnetized plasma

In order to further study on radiation of a moving electron in poloidal magnetized plasma (PMP), theoretical analysis and simulation calculation of Cherenkov radiation (CR) under the condition of an accelerated electron beam in PMP are respectively presented in this paper. Through analysis of dielectric tensor in poloidal magnetized plasma with uniformly accelerated electron and description of beam-wave interaction in PMP by Maxwell’s equations, radiation mechanism of uniformly accelerated electron CR in PMP is described. Then eigenvalue and radiation condition are respectively obtained. Moreover, dispersion relation of radiation wave is also deduced through analysis of eigenvalues. At the same time, through analysis of effect that cyclotron frequency and plasma frequency have on eigenvalue, it is discovered that plasma frequency has great effect on not only p₁ mode but also p₂ mode, but cyclotron frequency only affects p₂ mode. Finally, through simulation calculation, dispersion curves of both p₁ mode and p₂ mode are presented. Through comparing to the case of uniform moving electrons, the radiation conditions of the accelerated electrons are more relaxed, more prone to generate radiation. The theoretical analysis and simulation calculation can provide for further research of the radiation microwave in PMP.