Improvements of the Discretized Mie-Formalism for Plane Wave Scattering On Axisymmetric Particles

Abstract

In this paper, some improvements of the Discretized Mie-Formalism will be given. The main objective is to derive an iteration procedure which results in less computational effort and a more stable numerical algorithm. In this way, a treatment of higher size parameters and larger aspect ratios become possible. As a side effect, we will be able to discuss the range of validity of the Rayleigh hypothesis from the point of view of the DMF. These improvements are achieved by a reformulation of the transformation process within the Method of Lines for non-separable boundary value problems.