2012
DOI: 10.1103/physrevlett.108.048101
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Imaging the Ultrasmall-Angle X-Ray Scattering Distribution with Grating Interferometry

Abstract: X-ray imaging with grating interferometry has previously been regarded as a technique providing information only in direct space. It delivers absorption, phase, and dark-field contrast, which can be viewed as parameters of the underlying but unresolved scattering distribution. Here, we present a method that provides the ultrasmall-angle x-ray scattering distribution and, thus, allows simultaneous access to direct and reciprocal space information.

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Cited by 68 publications
(100 citation statements)
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References 17 publications
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“…The scattering distribution g(φ ) can be accessed by deconvolution methods as for example the Lucy-Richardson algorithm as also proposed by Modregger et al [10]. The image contrasts, absorption A, differential phase P and dark field B, as obtained by the FFT method, can be received from the zeroth, first and second moment of the scattering distribution as Fig.…”
Section: Theorymentioning
confidence: 99%
See 2 more Smart Citations
“…The scattering distribution g(φ ) can be accessed by deconvolution methods as for example the Lucy-Richardson algorithm as also proposed by Modregger et al [10]. The image contrasts, absorption A, differential phase P and dark field B, as obtained by the FFT method, can be received from the zeroth, first and second moment of the scattering distribution as Fig.…”
Section: Theorymentioning
confidence: 99%
“…On the other hand, Modregger et al [10] proposed an alternative method based on the assumption that the PSC with object s(φ ) is obtained by the convolution of the PSC without object f (φ ) and a scattering distribution g(φ ) containing the object information [12] …”
Section: Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…Well-established techniques such as X-ray photon correlation spectroscopy [2], coherent X-ray diffraction imaging [3], lensless imaging [4], phase contrast imaging [5][6][7][8] as well as the recently developed ptychography [9], polyCDI [10] and GI-USAXS [11] are only a few to be named. Accordingly, the precise knowledge of source size and its modification by Xray optical elements remains a crucial part in beamline construction, methods development as well as in different kinds of simulations and evaluations dealing with image formation therein.…”
Section: Introductionmentioning
confidence: 99%
“…However, our approach should provide new insights into the matter, since it combines MC with wave optics within the same framework. This should provide an ideal tool for the investigation of the scattering process within a sample that can for instance be used to investigate the physical interpretation as well as the potential application of the ultrasmall-angle X-ray scattering with GI (Modregger et al, 2012). Owing to the combination of MC and wave optics, our framework can be used for different phase-sensitive X-ray imaging methods; it would also be applicable for the exploration of the parameter space or optimization of different set-ups.…”
Section: Introductionmentioning
confidence: 99%