Laser induced x-ray radiation under the grazing incidence geometry

In conventional schemes of the parametric x-ray radiation (PXR) the beam of charged particles moves through the crystal and destruction of target and beam takes place. It is possible to avoid the destruction and to increase the interaction length if the scheme of grazing incidence diffraction (GID) is used: the beam of charged particles propagates in vacuum near the crystal surface while the photons are emitted under conditions of GID. In this case a highly collimated and precisely positioned beam is required. he restrictions on beam parameters can be avoided if intense laser radiation is backscattered by the electron beam. In the paper a theory of laser induced x-ray radiation under conditions of grazing incidence diffraction is presented and distributions of emitted quanta are calculated. Properties of the radiation and possible applications are discussed.