  A theoretical investigation of radiation field produced by a charge moving
through the dielectric concentrator for Cherenkov radiation is performed for
the general case where a charge trajectory is shifted with respect to the
target axis. The idea of dielectric target with specific profile of the outer
surface was presented and investigated in our previous papers for the symmetric
case. Here we show how non-symmetric field components generated in the bulk of
target affect field distribution near the focus where strong concentration of
the energy occurs. Possible applications of this target are discussed. This
version also contains corrections (Appendix C) made after publication.
