  We analyze the electromagnetic field of a bunch that moves uniformly in a
circular metal waveguide and crosses a boundary between a vacuum area and an
area filled with an anisotropic dispersive nonmagnetic medium. The medium is
characterized by the diagonal dielectric permittivity tensor with components
possessing frequency dispersion of plasma types. The investigation of the
waveguide mode components is performed with the methods of the complex variable
function theory. It is shown that in compliance with the parameters of the
medium, Cherenkov radiation (CR) generated in the filled area of the waveguide
can have reversed direction in relation to the bunch motion. CR can penetrate
into the vacuum area of the waveguide, that is, the intensive reversed
Cherenkov-transition radiation (RCTR) can be generated. The main properties of
this radiation are described, and essential differences from the RCTR in the
case of isotropic left-handed medium are revealed.
