The possibility of channeling X-ray fluorescence inside the hollow microvascular at the energy of the exciting radiation in the vicinity SiL2, 3 - absorption edge has been researched. Theoretically obtained the angular distribution of the field passing through the microchannels. The calculation model of inhomogeneous waveguide layer with the generation of X-ray fluorescence inside the walls of the microchannels shows the possibility of escape of radiation at large angles.

Keywords: channeling of X-ray fluorescence, microchannel plates, focusing of X-ray radiation