Multiple Scattering from $N$ Spheres Using Multipole Reexpansion

Abstract

A semi-analytical technique for the solution of problems of wave scattering from multiple spheres is developed. This technique extensively uses the theory for the translation and rotation of Helmholtz multipoles that was developed in our earlier work (Gumerov & Duraiswami, 2001). Results are verified by comparison with commercial boundary element software. The method developed is likely to be very useful in developing fast algorithms for many important problems, including those arising in simulations of composite media and multiphase flow. (Also cross-referenced UMIACS-TR-2001-72)