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X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

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Updated: May 3, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Performance and optimization of X-ray grating interferometry.

T Thuering¹, M Stampanoni

¹Swiss Light Source, Paul Scherrer Institut, , Villigen PSI, Switzerland.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|January 29, 2014

Summary

This summary is machine-generated.

This study analyzes grating interferometer performance for differential phase-contrast imaging. Analytical formulas optimize grating interferometer geometry for enhanced monochromatic and polychromatic imaging applications.

Keywords:

X-ray grating interferometry optimization phase-contrast imaging polychromatic performance

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Area of Science:

Optics and Photonics
Interferometry
Image Contrast Techniques

Background:

Grating interferometers are advanced optical instruments.
Differential phase-contrast imaging requires high efficiency and sensitivity.
Understanding monochromatic and polychromatic performance is key for optimization.

Purpose of the Study:

To theoretically analyze the monochromatic and polychromatic performance of grating interferometers.
To derive analytical formulae for optimizing grating interferometer geometry.
To establish a framework for designing application-specific grating interferometry systems.

Main Methods:

Theoretical analysis of monochromatic and polychromatic performance.
Derivation of analytical formulae for visibility and smallest detectable refraction angle.
Calculation of energy-dependent fringe visibility, spectral acceptance, and polychromatic visibility.

Main Results:

Analytical formulae for visibility and smallest detectable refraction angle derived for Talbot and Talbot-Lau interferometers.
Investigation into energy-dependent interference fringe visibility and spectral acceptance.
Framework established for optimizing grating interferometer geometry and polychromatic performance.

Conclusions:

The smallest detectable refraction angle serves as a key metric for differential phase-contrast imaging efficiency.
Optimized grating interferometer geometry is crucial for maximizing performance.
Analytical insights facilitate the design of tailored grating interferometry systems.