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Related Concept Videos

X-ray Imaging01:24

X-ray Imaging

German physicist Wilhelm Röntgen (1845–1923) was experimenting with electrical current when he discovered that a mysterious and invisible "ray" would pass through his flesh but leave an outline of his bones on a screen coated with a metal compound. In 1895, Röntgen made the first durable record of the internal parts of a living human: an "X-ray" image (as it came to be called) of his wife’s hand. Scientists worldwide quickly began their own experiments with X-rays, and by 1900, X-ray was widely...
Phase Contrast and Differential Interference Contrast Microscopy01:26

Phase Contrast and Differential Interference Contrast Microscopy

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In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...
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Imaging Studies for Cardiovascular System III: X-Ray

The most common cardiovascular diagnostic test is an X-ray. It produces images of the heart, blood vessels, and adjacent structures.
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X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
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Related Experiment Video

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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Published on: October 11, 2016

Phase-space evolution of x-ray coherence in phase-sensitive imaging.

Xizeng Wu1, Hong Liu

  • 1Department of Radiology, University of Alabama at Birmingham, Birmingham, Alabama 35233, USA. xwu@uabmc.edu

Applied Optics
|August 2, 2008
PubMed
Summary

This study introduces a phase-space formulation for x-ray phase-sensitive imaging, quantifying partial coherence effects. This new theory enhances phase retrieval accuracy and optimizes contrast visibility in advanced imaging techniques.

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Last Updated: Jul 3, 2026

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Area of Science:

  • Physics
  • Optics
  • Imaging Science

Background:

  • X-ray coherence evolution is critical for phase-sensitive imaging.
  • Understanding partial coherence effects is essential for accurate phase retrieval and contrast optimization.

Purpose of the Study:

  • To present a novel phase-space formulation for x-ray phase-sensitive imaging.
  • To quantitatively account for partial coherence effects in phase-sensitive imaging.
  • To provide formulas for optimizing phase retrieval and contrast visibility.

Main Methods:

  • Reformulating phase-sensitive imaging theory using cross-spectral density and Wigner distribution.
  • Deriving the phase-space shearing length to define spatial coherence requirements.
  • Applying the phase-space formulation to x-ray Talbot interferometric imaging.

Main Results:

  • An explicit, quantitative account of partial coherence effects on phase-sensitive imaging.
  • Formulas for x-ray spectral density at the detector for accurate phase retrieval.
  • The phase-space shearing length clarifies coherence requirements for incoherent sources.
  • New insights into three-grating Talbot interferometric and dark-field imaging.

Conclusions:

  • The phase-space formulation provides a powerful tool for understanding and improving x-ray phase-sensitive imaging.
  • The derived peak coherence condition offers new perspectives on grating-based imaging techniques.
  • This work facilitates more accurate phase retrieval and enhanced contrast visibility.