  Radiation from a charged particle moving in a medium with Maxwell fish eye
refraction index profile is considered. It is shown that the radiation spectrum
has a discrete character. The main emitted wavelength is proportional to the
refractive profiles radius and has a dipole character in a regular medium.
Cherenkov like threshold velocity is established. A cardinal rearrangement of
angular distribution in a lossless medium is predicted. This behavior is caused
by the total internal reflection in a lossless medium as opposed to photons
attenuated total reflection in the regular medium. Lossless medium ensures that
both directed and monochromatic emission can serve as a light source in the
corresponding regions.
