Interpretation of dark-field contrast and particle-size selectivity in grating interferometers

Appl Opt. 2011 Aug 1;50(22):4310-9. doi: 10.1364/AO.50.004310.

Abstract

In grating-based x-ray phase sensitive imaging, dark-field contrast refers to the extinction of the interference fringes due to small-angle scattering. For configurations where the sample is placed before the beamsplitter grating, the dark-field contrast has been quantified with theoretical wave propagation models. Yet when the grating is placed before the sample, the dark-field contrast has only been modeled in the geometric optics regime. Here we attempt to quantify the dark-field effect in the grating-before-sample geometry with first-principle wave calculations and understand the associated particle-size selectivity. We obtain an expression for the dark-field effect in terms of the sample material's complex refractive index, which can be verified experimentally without fitting parameters. A dark-field computed tomography experiment shows that the particle-size selectivity can be used to differentiate materials of identical x-ray absorption.

MeSH terms

  • Ferric Compounds
  • Image Processing, Computer-Assisted
  • Imaging, Three-Dimensional
  • Interferometry / methods*
  • Interferometry / statistics & numerical data
  • Metal Nanoparticles
  • Microscopy, Phase-Contrast
  • Microspheres
  • Models, Theoretical
  • Optical Phenomena
  • Particle Size
  • Radiographic Image Interpretation, Computer-Assisted
  • Refractometry
  • Tomography, X-Ray Computed
  • X-Rays

Substances

  • Ferric Compounds
  • ferric oxide