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Analytical desmearing of Bonse–Hart ultra-small-angle neutron scattering data via truncated Abel inversion
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Analytical desmearing of Bonse–Hart ultra-small-angle neutron scattering data via truncated Abel inversion

Guan-Rong Huang, Chi-Huan Tung, Pengwen Chen, Gernot Rother, Yingrui Shang, Carrie Y. Gao, Michelle Everett, Kevin D. Berry, Steven Mellard, Yangyang Wang, …
Journal of applied crystallography, 卷.59(4)
01/08/2026

摘要

A non-iterative analytical framework based on the truncated Abel inversion is developed for desmearing Bonse–Hart ultra-small-angle neutron scattering (USANS) data. The method directly inverts the slit-averaged intensity without empirical extrapolation or iterative regularization, establishing a closed-form relationship between the measured and intrinsic scattering profiles. Numerical benchmarks on representative models, including a rigid-line form factor, a Lorentzian function and a fractal structural model, demonstrate quantitative recovery of the ground-truth intensity across the full Q range. Application to a deuterated polystyrene/poly(2-vinylpyridine) blend further confirms that the approach yields smooth continuous profiles consistent with companion small-angle neutron scattering data. The truncated Abel inversion thus provides a stable, model-independent and physically transparent route for accurate desmearing of Bonse–Hart USANS measurements.

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