Self-focusing relativistic electron beam radiation under conditions of phase correlation

The problem of conditions of beam electron radiation, while their motion in the eigene magnetic field of this beam in the regime of phase correlation, is studied. A model of monoenergetic, cylindrically-symmetric, infinitely long electron beam with equilibrium radius, having collisonless skin depth of magnetic field penetration, is used. Energy of particles of relativistic electron beam necessary for the production of induced coherent radiation at self-focusing of the beam is found, E approximately 50 - 100 MeV. It is noted that the condition of the radiation of self-focusing relativistic electron beam in the regime of phase correlation is almost always fulfilled it is distributed to the nonrelativistic dense pinch. That's why electro-magnetic radiation of magnetic retarding nature and of plasma focus should be coherent, though with larger angular divergence