  We propose a new type of axisymmetric dielectric target which effectively
concentrates Cherenkov radiation (CR) generated in the bulk of the material
into a small vicinity of focus point. It can be called the "axicon-based
concentrator for CR". A theoretical investigation of radiation field produced
by a charge moving through the discussed radiator is performed for the general
case where a charge trajectory is shifted with respect to the structure axis.
The idea of dielectric target with specific profile of the outer surface was
presented and developed in our preceeding papers. However, contrary to the
previous configuration of such a target (which was investigated for both
centered and shifted charge trajectory), the current version allows efficient
concentration of CR energy from relativistic particles, making this device
extremely prospective for various applications.
