  We investigate the electromagnetic fields generated by a charged particle
rotating inside a dielectric cylinder immersed into a homogeneous medium. The
expressions for the bound modes of the radiation field are derived in both
interior and exterior regions. The radiation intensity for the modes
propagating inside the cylinder is evaluated by using two different ways: by
evaluating the work done by the radiation field on the charge and by evaluating
the energy flux through the cross-section of the cylinder. The relation between
these two quantities is discussed. We investigate the relative contributions of
the bound modes and the modes propagating at large distances from the cylinder
to the total radiation intensity. Numerical examples are given for a dielectric
cylinder in the vacuum. It is shown that the presence of the cylinder can lead
to the considerable increase of the synchrotron radiation intensity.
