1997
DOI: 10.1117/12.293359
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<title>Quantitative aspects of coherent hard x-ray imaging: Talbot images and holographic reconstruction</title>

Abstract: Free space propagation or Fresnel diffraction is an effective method to sense the phase modulation of hard X-ray beams. We use the variation with propagation distance d ofthe diffraction pattern both to study periodic objects and to handle the inverse problem, i.e. to extract information on the phase and amplitude of the transmitted wave from the intensity distribution in the defocused images. The 'Talbot effect', a special manifestation of Fresnel diffraction, implies that the intensity distribution of cohere… Show more

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Cited by 29 publications
(2 citation statements)
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“…If the detector were placed at longer distances behind the sample, Fraunhofer fringes would appear. It is even possible to use this phenomenon to obtain 3D holographic images of a medium [18].…”
Section: Data Acquisitionmentioning
confidence: 99%
“…If the detector were placed at longer distances behind the sample, Fraunhofer fringes would appear. It is even possible to use this phenomenon to obtain 3D holographic images of a medium [18].…”
Section: Data Acquisitionmentioning
confidence: 99%
“…Interference fringes occur, and the image becomes a hologram, for larger values of D. From images recorded at different distances, it is possible to reconstruct the phase shift locally introduced by the object. 3 In simple transmission, the Talbot effect, a classical and spectacular example of Fresnel diffraction, was investigated in the hard X-ray range. The self-imaging, periodic as a function of defocusing distance, of a periodic phase object was shown to be a useful tool for the quantitative determination of the lateral coherence of the beam.…”
mentioning
confidence: 99%