Fast calculation of scattering patterns using hypergeometric function algorithms.

ABSTRACT: The scattering of light, X-rays, electrons or neutrons by matter is used widespread for structural characterization from atomic to macroscopic length scales. With the advent of high-brilliance beam sources and the development fast, large area pixelated detectors, scattering patterns are now acquired at unprecedented frame rates and frame sizes. The slow analysis of these scattering patterns has evolved into a severe bottleneck retarding scientific insight. Here we introduce an algorithm based on the use of hypergeometric functions providing gains in computational speed of up to 10⁵ compared to present numerical integration algorithms. Hypergeometric functions provide analytical descriptions of geometrical shapes, can be rapidly computed as series and asymptotic expansions, and c

SUBMITTER: Wagener M 

PROVIDER: S-EPMC9841017 | biostudies-literature | 2023 Jan

REPOSITORIES: biostudies-literature