Resonant scattering and Anderson localization of acoustic waves

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Abstract
The properties of an acoustical medium containing a random array of identical discrete scatterers are investigated in detail. The cases of hard scatterers, soft scatterers, and permeable scatterers are considered for two- and three-dimensional configurations. Curves describing the diffusion coefficient, the localization length, and the phase boundaries are presented and the results are related to the single-scattering properties. The consequences of a modification in the self-consistent theory cutoff are examined. The onset of localization in three dimensions is shown to satisfy approximately the Ioffe-Regel condition.