Dispersion analysis and calculation on Cherenkov radiation of an accelerated electron beam in poloidal magnetized plasma
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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.
KeywordsAccelerated electron beam CR PMP Dispersion relation Eigenvalue
The authors acknowledge the National Natural Science Foundation of China (Grants 51641708 and 51207171) and 2018 Hubei Provincial Natural Science Foundation of China.
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