DOE OSTI · 3030880
A Bayesian desmearing algorithm for Bonse–Hart USANS with anisotropic scattering
Abstract
Ultra-small-angle neutron scattering (USANS) using Bonse–Hart optics provides micrometer-scale structural insights but suffers from severe slit-geometry smearing. While well-established for isotropic systems, quantitative desmearing of anisotropic data remains a challenge because conventional corrections break down for non-radial scattering. In this work, we address this by developing a resolution-aware Bayesian framework that explicitly incorporates anisotropy via an affine deformation to the scattering pattern, guided by the principle of parsimony. This results in orientation-resolved point-spread functions that enable a self-consistent determination of both the resolution and deformation parameters. Using Gaussian process regression with uncertainty quantification and a probabilistic correction for multiple scattering, we demonstrate the framework’s effectiveness through numerical benchmarks and experimental studies of a stretched polymer melt. Our approach enables the seamless integration of SANS and USANS data, facilitating quantitative structural analysis of deformed materials at nanometer to micrometer scales.
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Tung, Chi-Huan [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division] (ORCID:0000000221972074), Huang, Guan-Rong [National Tsing Hua Univ., Hsinchu (Taiwan)] (ORCID:0000000163939574), Wang, Yangyang [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)] (ORCID:0000000170429804), Carrillo, Jan-Michael [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)] (ORCID:000000018774697X), Shinohara, Yuya [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division] (ORCID:000000018284751X), Do, Changwoo [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division] (ORCID:0000000183588417), Rother, Gernot [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division], Shang, Yingrui [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division] (ORCID:0000000301743992), Chen, Wei-Ren [Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Neutron Scattering Division] (ORCID:0000000251920777). 2026-04-23. A Bayesian desmearing algorithm for Bonse–Hart USANS with anisotropic scattering. https://doi.org/10.1063/5.0325436
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