General solution for quantitative dark-field contrast imaging with grating interferometers

Dark-field contrast imaging with grating interferometers has proven to hold huge potential for numerous applications with X-rays and with neutrons conveying biology and medicine as well as engineering and magnetism, respectively. However, a concept to extract quantitative information is still missing. Here a general theory as well as a measurement strategy is introduced, allowing extraction of quantitative small-angle scattering information such as structure sizes and scattering cross sections. The validity of the description is demonstrated by a specific example from literature.