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A Bayesian desmearing algorithm for Bonse-Hart USANS with anisotropic scattering.

Chi-Huan Tung1, Guan-Rong Huang2, Yangyang Wang3

  • 1Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.

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|April 23, 2026
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Summary
This summary is machine-generated.

We developed a new Bayesian framework to accurately analyze anisotropic data from ultra-small-angle neutron scattering (USANS). This method corrects for smearing, enabling precise structural insights into deformed materials.

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Area of Science:

  • Materials Science
  • Neutron Scattering Physics

Background:

  • Ultra-small-angle neutron scattering (USANS) with Bonse-Hart optics offers micrometer-scale structural information.
  • Quantitative analysis of anisotropic USANS data is challenging due to slit-geometry smearing, where conventional corrections fail for non-radial scattering.

Purpose of the Study:

  • To develop a novel resolution-aware Bayesian framework for accurate quantitative analysis of anisotropic USANS data.
  • To overcome limitations of conventional methods in correcting scattering pattern smearing for non-radial scattering.

Main Methods:

  • Developed a Bayesian framework incorporating anisotropy via affine deformation of the scattering pattern.
  • Utilized Gaussian process regression with uncertainty quantification.
  • Implemented a probabilistic correction for multiple scattering.

Main Results:

  • Achieved orientation-resolved point-spread functions for self-consistent parameter determination.
  • Demonstrated framework effectiveness via numerical benchmarks and experimental studies on stretched polymer melts.
  • Enabled seamless integration of small-angle neutron scattering (SANS) and USANS data.

Conclusions:

  • The developed framework successfully enables quantitative structural analysis of deformed materials.
  • Provides accurate nanometer to micrometer scale structural insights for anisotropic systems.
  • Advances the capabilities of USANS for complex material characterization.