Instability of a tubular electron beam moving over a dielectric cylinder

The mechanism of interactions between the eigenwaves of a dielectric cylinder and a nonrelativistic tubular electron beam moving over its surface has been considered theoretically. A dispersion relation for the coupled waves of beam electrons and the dielectric cylinder has been derived. The conditions for coupled wave instability have been formulated and an expression for instability increments has been found. It follows from the dispersion relation and the expression for the increments that electric waves with high azimuthal indices are excited most effectively at a narrow gap between the beam and cylinder.