Acoustic wave propagation in a one-dimensional layered system

Pi-Gang Luan and Zhen Ye
Phys. Rev. E 63, 066611 – Published 25 May 2001
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Abstract

Propagation of acoustic waves in a 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 is 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.

  • Received 12 October 2000

DOI:https://doi.org/10.1103/PhysRevE.63.066611

©2001 American Physical Society

Authors & Affiliations

Pi-Gang Luan and Zhen Ye

  • Wave Phenomena Laboratory, Department of Physics, National Central University, Chung-li 32054, Taiwan

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Issue

Vol. 63, Iss. 6 — June 2001

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