Scalar-Wave Localization in a Two-Component Composite

Abstract

Scalar-wave localization characteristics in a two-component composite are calculated as a function of frequency, relative volume fraction, and impedance contrast between the components. It is found that the occurrence of localization requires a minimum impedance contrast whose value is defined by a critical point on the localization phase diagram. Furthermore, localization is shown to be closely tied to resonant scattering, and there is a multitude of mobility edges and localization regions associated with resonance harmonics.