Volume scattering of 3-D discrete scatterers by using UV multilevel partitioning method

A fast method-UV multilevel partitioning method (UV-MLP) is developed to solve volume scattering by 3-D random-distributed scatterers. In the method Foldy-lax equations with higher order spherical partial wave expansions are used for spherical scatterers. Then the fast method UV-MLP is presented to accelerate the solution, where three key points: multilevel partitioning, rank pre-determination and UV decomposition are introduced. Finally we demonstrate the technique to the electromagnetic scattering problem by a large number of random-distributed particles.