“…One of the basic principles of x-ray beam propagation in a capillary channel is the possibility of a modal regime of radiation transmission, i.e., a capillary acts as an x-ray waveguide [8][9][10][11] but also allows the surface channeling of x-ray radiation. As a consequence, in addition to the established use of capillary optics to shape radiation in x-ray lithography, x-ray astronomy, crystal diffraction, x-ray fluorescence, neutron prompt gamma analysis, etc., the mode propagation of x rays in capillaries allows other unique applications, e.g., x-ray microscopy and focusing of coherent x-ray sources [12].…”