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Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization.

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X-ray dark-field imaging reveals anisotropic signals dependent on beam and grating orientation. A new continuous model and spherical harmonic discretization enable advanced analysis, showing improved resolution for scattering directions in materials like wood.

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Area of Science:

  • Physics
  • Materials Science
  • X-ray Optics

Background:

  • Grating-based X-ray interferometry measures dark-field signals.
  • These signals exhibit anisotropy, influenced by beam and grating alignment.
  • Existing models may not fully capture this anisotropic behavior.

Purpose of the Study:

  • To develop a general, continuous forward model for anisotropic X-ray dark-field signals.
  • To enable more accurate and detailed analysis of scattering phenomena.
  • To improve the resolution and capabilities of X-ray dark-field imaging.

Main Methods:

  • Formulation of a novel closed-form, continuous forward model for anisotropic dark-field signals.
  • Derivation of a discretization method using spherical harmonics.
  • Application to a large-scale linear inverse problem framework.

Main Results:

  • Successful modeling of anisotropic X-ray dark-field signals.
  • Demonstration of improved performance on a wooden sample.
  • Resolution of multiple scattering directions within a single volume element.

Conclusions:

  • The new model accurately captures anisotropic dark-field signals.
  • Spherical harmonic discretization provides an effective approach for inverse problems.
  • This method enhances the capability of X-ray dark-field imaging for material characterization.