This invention discloses a method for reconstructing X-
ray small-angle scattering (SAXS) patterns based on a
physical information neural network, belonging to the field of
nanostructure measurement. Through a differentiable
physical information optimization framework driven by a
physical information neural network, a given
electron density template is used as input, and the output is a high-resolution, corrected
electron density map. A
loss function is calculated by comparing the SAXS pattern with an experimental X-
ray small-angle scattering pattern, and the neural
network structure is optimized based on the
loss function to ensure physical realism and computational feasibility, thereby continuously optimizing the predicted
electron density map and making it closer to the real sample. This invention eliminates the dependence on a pre-set geometric model, requiring only a single SAXS scattering pattern containing multi-angle information to faithfully reconstruct the true morphology of nanostructures containing arbitrarily complex and non-ideal features such as rounded corners, sidewall curvature, and chamfered edges. This fundamentally solves the model mismatch problem and significantly improves the accuracy, reliability, and applicability of X-
ray small-angle scattering
metrology.