Waves in random media (Q759502)

A Dyson equation is used for comparisons of different approximations for the calculation of the wave number of the ensemble averaged linear harmonic response of a discrete random medium. The Lax quasicrystalline approximation and its several ''self-consistent'' generalizations are compared. Formal arguments for the order of the errors incurred in these approximate multiple-scattering theories are constructed. Monte Carlo numerical results on a one-dimensional medium are used to test these error estimates. Questions of incoherent energy transport in such media are illustrated with further numerical examples. The phenomenon of localization of normal modes and the absence of diffusion is demonstrated numerically in a one- dimensional medium.