SHAPE CHARACTERIZATION AND FORWARD SCATTERING OF LARGE AND NOT TOO DENSELY PACKED PARTICLES BY FRAUNHOFER DIFFRACTION, CONVOLUTION TRUNCATION, AND FOURIER TRANSFORM

摘要

The Fraunhofer diffraction of a collection of particles is not the linear combination of the Fraunhofer diffraction of the single particles. It contains information which looks like noise (but is no noise at all) and which is irrelevant and disturbing for the shape charaterization and the determination of scattering distribution of the collection of particles. We propose a new method to get from the Fraunhofer diffraction of the collection to the linear combination of the Fraunhofer diffraction of the single particles. This method is based on the inverse Fourier transform of the diffraction of the collection, a mass truncation, and the Fourier transform of the truncated mass. The method works if the particles are not too densely packed.