Effect of the plasma electron motion on the development of Cherenkov instability in a waveguide

A linear theory of the Cherenkov amplification in a transversely nonuniform waveguide in an infinitely strong magnetic field is constructed with allowance for both ordered and thermal motions of plasma electrons. The effect of these electron motions on the threshold for the onset of Cherenkov instability is investigated. The amplification coefficients and the conditions for the onset of the instability are determined.