The singularity expansion method and multiple scattering

A new application of the singularity expansion method (SEM) is explored. This application combines the classical theory of wave propagation through a multiple scattering environment and the SEM. The SEM is first reviewed and then applied to the single scatterer problem. This application is then extended to the multiple scattering case using both single and multiple interactions. A tensor form is used for the SEM description which leads to an associated tensor form of the solution to the multiple scattering problem with each SEM pole effect appearing explicitly. The coherent field is determined for both spatial and SEM parameter random variations.