X-Ray Zone Plates in Combination with Diffraction Reflection

We have studied focusing of X-ray beams with use of X-ray zone plates combined with diffraction reflection. Expressions are obtained for the focal length of a zone plate combined with two or one diffraction reflection. We propose to simplify the technology of fabrication of zone plates and indicate the possibility of obtaining zone plates with ultrashort focal lengths. A zone plate as combined with diffraction reflection may become a focusing element of X-ray microscope. It may also be used for both focusing X-ray radiation from laboratory sources and synchrotron radiation.