We develop X-ray Multi-modal Intrinsic-Speckle-Tracking (MIST), a form of X-ray speckle-tracking that is able to recover both the position-dependent phase shift and the position-dependent small-angle X-ray scattering (SAXS) signal of a phase object. MIST is based on combining a Fokker-Planck description of paraxial X-ray optics, with an optical-flow formalism for X-ray speckle-tracking. Only two images need to be taken in the presence of the sample, corresponding to two different transverse positions of the speckle-generating membrane, in order to recover both the refractive and local-SAXS properties of the sample. Like the optical-flow X-ray phase-retrieval method which it generalises, the MIST method implicitly rather than explicitly tracks both the transverse motion and the diffusion of speckles that is induced by the presence of a sample. Application to X-ray synchrotron data shows the method to be efficient, rapid and stable.
@article{arxiv.1911.06814,
title = {X-ray Multimodal Intrinsic-Speckle-Tracking},
author = {Konstantin M. Pavlov and David M. Paganin and Heyang Li and Sebastien Berujon and Hélène Rougé-Labriet and Emmanuel Brun},
journal= {arXiv preprint arXiv:1911.06814},
year = {2021}
}