A new theoretical approach to x-ray diffraction tomography

A new theoretical approach to x-ray diffraction tomography is proposed. Num erical simulations and image reconstruction are presented, which utilize a discrete implementation of the new formalism. A unique aspect of the presen t method is the inclusion of a position-sensitive detector and an analyser crystal to detect small-angle coherent scattering from a specimen. This arr angement excludes background and multiple scattering, thereby allowing maps of the differential coherent scattering cross section, and the linear atte nuation coefficient, to be reconstructed from diffracted data only.