Acoustic wave propagation in an one-dimensional layered system

Abstract

Propagation of acoustic waves in an one-dimensional water duct containing many air filled blocks is studied by the transfer matrix formalism. Energy distribution and interface vibration of the air blocks are computed. For periodic arrangement band structure and transmission rate are calculated analytically, whereas the Lyapunov exponent and its variance are computed numerically for random situations. A distinct collective behavior for localized waves is found. The results are also compared with optical situations.

11 pages revtex file, 11 eps figures

References in corpus (3)

• Statistical Signatures of Photon Localization
• Statistics of Lyapunov exponent in 1-D random periodic-on-average systems
• A Phase transition in acoustic propagation in 2D random liquid media

Cited by in corpus (4)

• Localization of classical waves in two dimensional random media: A comparison between the analytic theory and exact numerical simulation
• Band gaps and localization of water waves over one-dimensional topographical bottoms
• Statistics of Lyapunov exponent in one-dimensional layered systems
• Are waves all localized in two dimensional random media?