Wave localization is a ubiquitous phenomenon. It refers to situations that
transmitted waves in scattering media are trapped in space and remain confi
ned in the vicinity of the initial site until dissipated. Here, we report a
phase transition from acoustically extended to localized states in arrays
of identical air-filled bubbles in water. It is shown that the acoustic loc
alization in such media is coincident with the complete band gap of a corre
sponding lattice arrangement of the air bubbles. When the localization or t
he band gap occurs, a collective behavior of the bubbles appears, a unique
feature differentiating the localization effect from the residual absorptio
n effect. (C) 2001 American Institute of Physics.