On fast charged particle scattering by periodic atomic planes: quadratic potential corrections

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the differential cross section for scattering on the set of parallel planes with uniformly distributed atoms in each plane was obtained. It was shown that for this case the differential scattering cross section splits into coherent and incohent cross sections in the eikonal approximation analogously with the Born approximation.