DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Depth profile of a time-reversal focus in an elastic solid

Abstract

The out-of-plane velocity component is focused on the flat surface of an isotropic solid sample using the principle of time reversal. This experiment is often reproduced in the context of nondestructive testing for imaging features near the surface of the sample. However, it is not clear how deep the focus extends into the bulk of the sample and what its profile is. In this paper, this question is answered using both numerical simulations and experimental data. The profiles of the foci are expressed in terms of the wavelengths of the dominant waves, based on the interpretation of the Lamb’s problem and the use of the diffraction limit.

Authors:
 [1];  [1];  [1];  [1];  [2]
  1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
  2. Aix Marseille Univ., Marseille (France)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1193443
Report Number(s):
LA-UR-14-29461
Journal ID: ISSN 0041-624X; PII: S0041624X14003497
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Ultrasonics
Additional Journal Information:
Journal Volume: 58; Journal Issue: C; Journal ID: ISSN 0041-624X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 58 GEOSCIENCES; 36 MATERIALS SCIENCE; time-reversal; elastodynamics; Lamb’s problem

Citation Formats

Remillieux, Marcel C., Anderson, Brian E., Ulrich, T. J., Le Bas, Pierre -Yves, and Payan, Cedric. Depth profile of a time-reversal focus in an elastic solid. United States: N. p., 2015. Web. doi:10.1016/j.ultras.2014.12.003.
Remillieux, Marcel C., Anderson, Brian E., Ulrich, T. J., Le Bas, Pierre -Yves, & Payan, Cedric. Depth profile of a time-reversal focus in an elastic solid. United States. https://doi.org/10.1016/j.ultras.2014.12.003
Remillieux, Marcel C., Anderson, Brian E., Ulrich, T. J., Le Bas, Pierre -Yves, and Payan, Cedric. Wed . "Depth profile of a time-reversal focus in an elastic solid". United States. https://doi.org/10.1016/j.ultras.2014.12.003. https://www.osti.gov/servlets/purl/1193443.
@article{osti_1193443,
title = {Depth profile of a time-reversal focus in an elastic solid},
author = {Remillieux, Marcel C. and Anderson, Brian E. and Ulrich, T. J. and Le Bas, Pierre -Yves and Payan, Cedric},
abstractNote = {The out-of-plane velocity component is focused on the flat surface of an isotropic solid sample using the principle of time reversal. This experiment is often reproduced in the context of nondestructive testing for imaging features near the surface of the sample. However, it is not clear how deep the focus extends into the bulk of the sample and what its profile is. In this paper, this question is answered using both numerical simulations and experimental data. The profiles of the foci are expressed in terms of the wavelengths of the dominant waves, based on the interpretation of the Lamb’s problem and the use of the diffraction limit.},
doi = {10.1016/j.ultras.2014.12.003},
journal = {Ultrasonics},
number = C,
volume = 58,
place = {United States},
year = {Wed Apr 01 00:00:00 EDT 2015},
month = {Wed Apr 01 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Interaction Dynamics of Elastic Waves with a Complex Nonlinear Scatterer through the Use of a Time Reversal Mirror
journal, March 2007


The time reversed elastic nonlinearity diagnostic applied to evaluation of diffusion bonds
journal, October 2008

  • Ulrich, T. J.; Sutin, Alexander M.; Claytor, Thomas
  • Applied Physics Letters, Vol. 93, Issue 15
  • DOI: 10.1063/1.2998408

Time reversal and non-linear elastic wave spectroscopy (TR NEWS) techniques
journal, April 2008


A two-dimensional pseudospectral model for time reversal and nonlinear elastic wave spectroscopy
journal, December 2007

  • Goursolle, Thomas; Callé, Samuel; Dos Santos, Serge
  • The Journal of the Acoustical Society of America, Vol. 122, Issue 6
  • DOI: 10.1121/1.2799900

Probing material nonlinearity at various depths by time reversal mirrors
journal, April 2014

  • Payan, C.; Ulrich, T. J.; Le Bas, P. Y.
  • Applied Physics Letters, Vol. 104, Issue 14
  • DOI: 10.1063/1.4871094

Time Reversal
journal, January 2008

  • Anderson, Brian E.; Griffa, Michele; Larmat, Carène
  • Acoustics Today, Vol. 4, Issue 1
  • DOI: 10.1121/1.2961165

Time reversal of ultrasonic fields. I. Basic principles
journal, September 1992

  • Fink, M.
  • IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 39, Issue 5
  • DOI: 10.1109/58.156174

Reproducibility of signal transmissions in the ocean
journal, January 1965

  • Parvulescu, Antares; Clay, C. S.
  • Radio and Electronic Engineer, Vol. 29, Issue 4
  • DOI: 10.1049/ree.1965.0047

One-channel time-reversal in chaotic cavities: Experimental results
journal, February 1999

  • Draeger, Carsten; Aime, Jean-Christian; Fink, Mathias
  • The Journal of the Acoustical Society of America, Vol. 105, Issue 2
  • DOI: 10.1121/1.426252

Single-channel time reversal in elastic solids
journal, November 2004

  • Sutin, Alexander M.; TenCate, James A.; Johnson, Paul A.
  • The Journal of the Acoustical Society of America, Vol. 116, Issue 5
  • DOI: 10.1121/1.1802676

Time-reversal of ultrasonic fields. III. Theory of the closed time-reversal cavity
journal, September 1992

  • Cassereau, D.; Fink, M.
  • IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 39, Issue 5
  • DOI: 10.1109/58.156176

Robust Acoustic Time Reversal with High-Order Multiple Scattering
journal, December 1995


One-channel time-reversal in chaotic cavities: Theoretical limits
journal, February 1999

  • Draeger, Carsten; Fink, Mathias
  • The Journal of the Acoustical Society of America, Vol. 105, Issue 2
  • DOI: 10.1121/1.426251

On the use of a chaotic cavity transducer in nonlinear elastic imaging
journal, October 2009

  • Bou Matar, O.; Li, Y. F.; Van Den Abeele, K.
  • Applied Physics Letters, Vol. 95, Issue 14
  • DOI: 10.1063/1.3245306

Theory of the time-reversal process in solids
journal, September 1997

  • Draeger, Carsten; Cassereau, Didier; Fink, Mathias
  • The Journal of the Acoustical Society of America, Vol. 102, Issue 3
  • DOI: 10.1121/1.420094

Acoustic time reversal with mode conversion at a solid-fluid interface
journal, March 1998

  • Draeger, Carsten; Cassereau, Didier; Fink, Mathias
  • Applied Physics Letters, Vol. 72, Issue 13
  • DOI: 10.1063/1.121117

Three component time reversal: Focusing vector components using a scalar source
journal, December 2009

  • Ulrich, T. J.; Van Den Abeele, Koen; Le Bas, Pierre-Yves
  • Journal of Applied Physics, Vol. 106, Issue 11
  • DOI: 10.1063/1.3259371

A guided wave technique for the characterization of highly attenuative viscoelastic materials
journal, July 2003

  • Simonetti, F.; Cawley, P.
  • The Journal of the Acoustical Society of America, Vol. 114, Issue 1
  • DOI: 10.1121/1.1575749

Works referencing / citing this record:

Time Reversal Techniques
book, October 2018

  • Anderson, Brian E.; Remillieux, Marcel C.; Le Bas, Pierre-Yves
  • Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation
  • DOI: 10.1007/978-3-319-94476-0_14