Study of Cherenkov instability for a plasma immersed waveguide in a finite magnetic field

When an electron beam is injected into plasma, an ionchannel might form if the beam density is relatively high. A dispersion equation of a circular cylindrical waveguide with the ionchannel taken into account is given in this paper. The properties of dispersion and wave growth rates have also been discussed for two cases, one is that the ionchannel was taken into account, and the other is that the ionchannel was neglected.