Random path averaging in multiple scattering theory

A new method of path averaging for waves propagating in a random dilute system of identical scatterers is developed. The scattering matrix of such a system is calculated. The method systematically takes into account repeating scatterings on the same scatterer and effects of correlations. Results obtained show the significant influence of new effects on the extinction of a coherent field and are valid in both the diffusive and localized regimes.