  Emission process of a charged particle propagating in a medium with a curved
magnetic field is considered. This mechanism combines features of conventional
Cherenkov and curvature emission. Thus, presence of a medium with the index of
refraction larger than the unity is essential for the emission. In the present
paper the generation of high frequency radiation by the mentioned mechanism is
considered. The generated waves are vacuum-like electromagnetic waves and may
leave the medium directly. Consequently, this emission mechanism may be
important for the problem of pulsar X-ray and gamma-ray emission generation.
