Two parts of this work are included in this thesis. The first part analyses the interaction of an eccentric particle with an arbitrary incident shaped beam within the generalized Lorenz-Mie theory (GLMT). Distributions of internal, near-surface, far-zone scattered fields as well as the behavior of morphlogy-dependent resonances (MDRs) in an eccentric sphere illuminated by a focused Gaussian beam are analysed. In the second part, by using the ECBM, light scattering properties around the rainbow angle for an ensemble of spheroids in random orientations illuminated by a plane wave are studied. By comparing the extracted parameters with those original parameters used in the simulation experiments, the sensitivity of the rainbow technique to the non-sphericity of droplets is quantified.
