Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization

M. Wieczorek, F. Schaff, F. Pfeiffer, T. Lasser

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16 Citations (Scopus)


The x-ray dark-field signal measured in grating interferometers is anisotropic, depending on both the beam direction and the grating orientation with respect to the sample. We present a novel general closed-form, continuous forward model of the anisotropic dark-field signal. Furthermore, we derive a discretization using spherical harmonics, leading to a large-scale linear inverse problem. We present first experimental results of a wooden sample, demonstrating marked advantages over previous results, in particular, the resolution of multiple scattering directions in one volume element.

Original languageEnglish
Article number158101
Number of pages5
JournalPhysical Review Letters
Issue number15
Publication statusPublished - 5 Oct 2016
Externally publishedYes

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