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Updated: Jun 29, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
A method for phase reconstruction from measurements obtained using a configured detector with a scanning transmission
Martin D de Jonge1, Stefan Vogt, Daniel Legnini
1Advanced Photon Source, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439-4856, USA.
We developed a quantitative phase reconstruction technique for scanning transmission X-ray microscopy. This method interprets differential phase contrast images to reconstruct specimen phase thickness, demonstrated on a gold sphere.
Area of Science:
- X-ray microscopy
- Phase contrast imaging
- Quantitative phase reconstruction
Background:
- Differential phase contrast (DPC) imaging in scanning transmission X-ray microscopy (STXM) provides information about specimen phase shifts.
- Quantitative phase reconstruction from DPC images is challenging due to the derivative nature of the signal.
Purpose of the Study:
- To develop and demonstrate a novel technique for quantitative phase reconstruction from DPC images in STXM.
- To enable accurate determination of specimen phase thickness using DPC data.
Main Methods:
- Utilized geometric optics to model X-ray beam interaction with the specimen.
- Interpreted measured intensities as derivatives of phase thickness.
- Employed Fourier integration techniques to reconstruct the phase from directional derivatives.
Main Results:
- Successfully reconstructed quantitative phase information from simulated DPC measurements.
- Demonstrated the technique on a 0.5-µm-diameter gold sphere at 7-keV photon energy.
- Validated the accuracy of the phase reconstruction method.
Conclusions:
- The developed technique provides a robust method for quantitative phase reconstruction in STXM.
- This approach advances the capability of DPC imaging for materials characterization.
- Accurate phase reconstruction opens new avenues for analyzing nanoscale structures.
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