Development of a new phase-retrieval algorithm from a single-shot image for X-ray schlieren microscopy
Ryutaro Nishimura, Yoshio Suzuki, Hiroshi Sugiyama, Daisuke Wakabayashi, Yuki Shibazaki, Keiichi Hirano, Noriyuki Igarashi, Nobumasa Funamori

TL;DR
This paper introduces a novel phase-retrieval algorithm for X-ray schlieren microscopy that reconstructs phase maps from a single image, demonstrated through a proof-of-principle experiment in the hard-X-ray region.
Contribution
The paper presents a new phase-retrieval algorithm specifically designed for single-shot X-ray schlieren images, expanding phase-contrast imaging capabilities.
Findings
Successful reconstruction of phase maps from a single X-ray schlieren image
Demonstration of the algorithm in a proof-of-principle experiment at KEK
Potential for real-time phase imaging in X-ray microscopy
Abstract
In this paper, a new phase-retrieval algorithm from an X-ray schlieren image is proposed. The schlieren method allows phase-contrast imaging with an objective lens and a knife-edge filter placed at the back focal plane of the objective. This method finds a wide range of applications in the visible-light region for transparent specimen visualization. The schlieren contrast does not directly correspond to the phase shift. However, the phase map can be reconstructed from a single-shot schlieren image of a transparent and weak-phase object using the filtered Fourier transform method. A proof-of-principle experiment was performed in the hard-X-ray region at the AR-NE1A beamline of the Photon Factory facility at the High Energy Accelerator Research Organization (KEK).
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