Abstract
We introduce analytical models for scattering potentials of particles that have ellipsoid-, cylinder-, and parallelepiped-like shapes and adjustable edge sharpness with the help of the three-dimensional versions of the multi-Gaussian functions. The far fields produced upon scattering from such potentials are examined in detail and are shown to qualitatively and quantitatively depend on the scatterer's symmetry type as well as its orientation and edge sharpness.
