Theoretical analysis and optimization of highly efficient multilayer coated blazed gratings with high fix focus constant for the tender X ray region

The problem of X ray diffraction from multilayer coated blazed diffraction gratings is analyzed. Invalidity of the conventional condition of maximal diffraction efficiency observed in previous experiments is explained theoretically. This is attributed to two factors contribution of anti blaze facets to diffraction efficiency and effect of strongly asymmetric diffraction. We demonstrate that a proper choice of the multilayer d spacing allows to design grating with the diffraction efficiency close to the maximal possible one throughout the tender X ray range E 1 5 keV . An optimization procedure is suggested for the first time to choose the optimal grating parameters and the operation diffraction order to obtain a high fix focus constant and high diffraction efficiency simultaneously in a wide spectral rang