Coherent X-ray Radiation by an Ultra-relativistic “Half-bare” Electron in Thin Crystal

The problem of coherent X-ray radiation by an ultra-relativistic electron with non-Coulomb proper field in ultrathin crystalline target is considered. The electron is assumed to be stripped of its proper field in the result of preliminary penetration through a thick target. It is shown that in the considered case such radiation characteristics as its angular distribution and total yield are not described by the known text-book formulae and depend on the distance between the targets. Expressions defining such characteristics are derived.