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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.
The Journal of Chemical Physics
|April 23, 2026
Summary
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.
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.
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