title: The theoretical analysis of the hard X-ray block-structure supermirror.
abstract: We present an analytical study to provide guide lines to design a block structure hard X-ray supermirror. The block structure supermirror is a kind of layered structure consisting of several "blocks" of multilayer of different d-spacing to obtain broad energy bandwidth response. This structure has been widely applied in X-ray telescopes because it is easy to fabricate. To examine the propagation of X-rays in a supermirror structure, further simplified approximation of Kozhevnikov's theory has been developed. The supermirror structure is described by a structure function. The spectral function of the structure, which is the Laplace transformation of the structure function, turns out to be proportional to the reflectivity profile against X-ray energy. By analyzing the expression of the spectral function, we found the reflectivity of the supermirror could be smooth due to the box-car shaped spectral function if the d-spacing and layer number of each block is arranged with appropriate constraints.
authors.affiliation: Department of Physics, Nagoya University, Nagoya, Aichi 464-8602, Japan.
authors.forename: Youwei
authors.initials: Y
authors.lastname: Yao
authors.forename: Hideyo
authors.initials: H
authors.lastname: Kunieda
authors.forename: Zhanshan
authors.initials: Z
authors.lastname: Wang
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D007909:Lenses; D008962:Models, Theoretical; D012542:Scattering, Radiation; D014965:X-Rays