Null-field method with circularly distributed spherical vector wave functions

Abstract

A novel formulation for improving the numerical stability of the null-field method for highly flattened particles is presented. The key step in this approach is to approximate the surface current density by circularly distributed spherical vector wave functions. The circularly distributed spherical vector wave functions are obtained by integrating the spherical vector wave function with a shifted origin over the azimuthal angle of the source point. The accuracy of the proposed method is investigated from a numerical point of view.