Interaction Dynamics of Elastic Waves with a Complex Nonlinear Scatterer through the Use of a Time Reversal Mirror

T. J. Ulrich, Paul A. Johnson, and Robert A. Guyer
Phys. Rev. Lett. 98, 104301 – Published 7 March 2007
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Abstract

This Letter reports on work performed to locate and interrogate a nonlinear scatterer in a linearly elastic medium through the use of a time reversal mirror in combination with nonlinear dynamics. Time reversal provides the means to spatially and temporally localize elastic energy on a scattering feature while the nonlinear dynamics spectrum allows one to determine whether the scatterer is nonlinear (e.g., mechanical damage). Here elastic waves are measured in a solid and processed to extract the nonlinear elastic response. The processed elastic signals are then time reversed, rebroadcast, and found to focus on the nonlinear scatterer, thus defining a time-reversed nonlinear elastic wave spectroscopy process. Additionally, the focusing process illuminates the complexity of the nonlinear scatterer in both space and time, providing a means to image and investigate the origins and physical mechanisms of the nonlinear elastic response.

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  • Received 14 July 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.104301

©2007 American Physical Society

Authors & Affiliations

T. J. Ulrich1, Paul A. Johnson1, and Robert A. Guyer2,1

  • 1EES Division, Geophysics Group, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 2Department of Physics, University of Massachusetts, Amherst, Massachusetts 07030, USA

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Issue

Vol. 98, Iss. 10 — 9 March 2007

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