TY - JOUR
T1 - Anisotropic X-Ray Dark-Field Tomography
T2 - A Continuous Model and its Discretization
AU - Wieczorek, M.
AU - Schaff, F.
AU - Pfeiffer, F.
AU - Lasser, T.
PY - 2016/10/5
Y1 - 2016/10/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84992146194&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.117.158101
DO - 10.1103/PhysRevLett.117.158101
M3 - Article
AN - SCOPUS:84992146194
VL - 117
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 15
M1 - 158101
ER -