Periodic spatial patterns of x-ray illumination are used to gather information about periodic objects. The structured illumination may be created using the interaction of a coherent or partially coherent x-ray source with a beam splitting grating to create a Talbot interference pattern with periodic structure. The object having periodic structures to be measured is then placed into the structured illumination, and the ensemble of signals from the multiple illumination spots is analyzed to determine various properties of the object and its structures. Applications to x-ray absorption/transmission, small angle x-ray scattering, x-ray fluorescence, x-ray reflectance, and x-ray diffraction are all possible using the method of the invention.
