Modregger, P;
Kagias, M;
Irvine, SC;
Bronnimann, R;
Jefimovs, K;
Endrizzi, M;
Olivo, A;
(2017)
Interpretation and Utility of the Moments of Small-Angle X-Ray Scattering Distributions.
Physical Review Letters
, 118
(26)
, Article 265501. 10.1103/PhysRevLett.118.265501.
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Abstract
Small angle x-ray scattering has been proven to be a valuable method for accessing structural information below the spatial resolution limit implied by direct imaging. Here, we theoretically derive the relation that links the subpixel differential phase signal provided by the sample to the moments of scattering distributions accessible by refraction sensitive x-ray imaging techniques. As an important special case we explain the scatter or dark-field contrast in terms of the sample’s phase signal. Further, we establish that, for binary phase objects, the n th moment scales with the difference of the refractive index decrement to the power of n . Finally, we experimentally demonstrate the utility of the moments by quantitatively determining the particle sizes of a range of powders with a laboratory-based setup.
| Type: | Article |
|---|---|
| Title: | Interpretation and Utility of the Moments of Small-Angle X-Ray Scattering Distributions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.118.265501 |
| Publisher version: | http://doi.org/10.1103/PhysRevLett.118.265501 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, DARK-FIELD CONTRAST, GRATING INTERFEROMETERS, COMPUTED-TOMOGRAPHY, RADIOGRAPHY, INFORMATION, MAMMOGRAPHY, ALGORITHM, SIZE |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1555702 |
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