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Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation pp 547–581Cite as

Time Reversal Techniques

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Abstract

Time reversal is a technique to focus wave energy to a selected point in space and time, localize and characterize a source of wave propagation, and/or communicate information between two points. This chapter will introduce the reader to the concept of time reversal and different implementations of this concept. The focus will then be directed to non-destructive evaluation applications using nonlinear elasto-dynamics together with time reversal.

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References

  1. B.E. Anderson, M. Griffa, C. Larmat, T.J. Ulrich, P.A. Johnson, Time reversal. Acoust. Today 4(1), 5–16 (2008)

    Article  Google Scholar 

  2. A. Parvulescu, Signal detection in a multipath medium by M.E.S.S. processing. J. Acoust. Soc. Am. 33(11), 1674 (1961)

    Article  Google Scholar 

  3. A. Parvulescu, C.S. Clay, Reproducibility of signal transmission in the ocean. Radio Elec. Eng. 29, 223–228 (1965)

    Article  Google Scholar 

  4. I. Tolstoy, C.S. Clay, Ocean Acoustics: Theory and Experiment in Underwater Sound (Hudson Laboratories, Columbia Univerfsity, 1966, and reprinted by the Acoustical Society of America, 1987), pp. 241–266

    Google Scholar 

  5. C.S. Clay, B.E. Anderson, Matched signals: the beginnings of time reversal. Proc. Meet. Acoust. 12, 055001 (2011)

    Article  Google Scholar 

  6. B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, Comparison and visualization of the focusing wave fields of various time reversal techniques in elastic media. J. Acoust. Soc. Am. 134(6), EL527–EL533 (2013)

    Article  Google Scholar 

  7. S. Yon, M. Tanter, M. Fink, Sound focusing in rooms: the time-reversal approach. J. Acoust. Soc. Am. 113(3), 1533–1543 (2003)

    Article  Google Scholar 

  8. B.E. Anderson, R.A. Guyer, T.J. Ulrich, P.A. Johnson, Time reversal of continuous-wave, steady-state signals in elastic media. Appl. Phys. Lett. 94(11), 111908 (2009)

    Article  Google Scholar 

  9. M. Tanter, J.-L. Thomas, M. Fink, Time reversal and the inverse filter. J. Acoust. Soc. Am. 108(1), 223–234 (2000)

    Article  Google Scholar 

  10. M. Tanter, J.-F. Aubry, J. Gerber, J.-L. Thomas, M. Fink, Optimal focusing by spatio-temporal filter. I. Basic principles. J. Acoust. Soc. Am. 110, 37–47 (2001)

    Article  Google Scholar 

  11. T. Gallot, S. Catheline, P. Roux, M. Campillo, A passive inverse filter for Green’s function retrieval. J. Acoust. Soc. Am. 131(1), EL21–EL27 (2011)

    Article  Google Scholar 

  12. T.J. Ulrich, B. Anderson, P.-Y. Le Bas, C. Payan, J. Douma, R. Snieder, Improving time reversal focusing through deconvolution: 20 questions. Proc. Meet. Acoust. XVII-ICNEM 16, 045015 (2012)

    Article  Google Scholar 

  13. B.E. Anderson, J. Douma, T.J. Ulrich, R. Snieder, Improving spatio-temporal focusing and source reconstruction through deconvolution. Wave Motion 52(9), 151–159 (2015)

    Article  Google Scholar 

  14. C. Heaton, B.E. Anderson, S.M. Young, Time reversal focusing of elastic waves in plates for educational demonstration purposes. J. Acoust. Soc. Am. 141(2), 1084–1092 (2017)

    Article  Google Scholar 

  15. G. Montaldo, D. Palacio, M. Tanter, M. Fink, Time reversal kaleidoscope: a smart transducer for three-dimensional ultrasonic imaging. Appl. Phys. Lett. 84(19), 3879–3881 (2004)

    Article  Google Scholar 

  16. O. Bou Matar, Y.F. Li, K. Van Den Abeele, On the use of a chaotic cavity transducer in nonlinear elastic imaging. Appl. Phys. Lett. 95, 141913 (2009)

    Article  Google Scholar 

  17. O. Bou Matar, Y. Li, S. Delrue, K. Van Den Abeele, Optimization of chaotic cavity transducers to nonlinear elastic imaging, in Proceedings of the 10th French congress on acoustics, Lyon (2010)

    Google Scholar 

  18. S. Delrue, K. Van Den Abeele, O. Bou Matar, Simulation study of a chaotic cavity transducer based virtual phased array used for focusing in the bulk of a solid material. Ultrasonics 67, 151–159 (2016)

    Article  Google Scholar 

  19. P.-Y. Le Bas, T.J. Ulrich, B.E. Anderson, J.J. Esplin, Toward a high power non-contact acoustic source using time reversal. Acoust. Soc. Am. ECHOES Newslett. 22(3), 7–8 (2012)

    Google Scholar 

  20. S. Delrue, P.-Y. Le Bas, T.J. Ulrich, B.E. Anderson, K. Van Den Abeele, First simulations of the candy can concept for high amplitude non-contact excitation. Proc. Meet. Acoust. 16, 045019 (2012)

    Article  Google Scholar 

  21. B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, Improving the focal quality of the time reversal acoustic noncontact source using a deconvolution operation. Proc. Meet. Acoust. 19, 065069 (2013)

    Article  Google Scholar 

  22. P.-Y. Le Bas, T.J. Ulrich, B.E. Anderson, J.J. Esplin, A high amplitude, time reversal acoustic non-contact excitation (TRANCE). J. Acoust. Soc. Am. 134(1), EL52–EL56 (2013)

    Article  Google Scholar 

  23. S. Delrue, K. Van Den Abeele, P.-Y. Le Bas, T.J. Ulrich, B.E. Anderson, Simulations of a high amplitude air coupled source based on time reversal, in Proceedings of the International Congress on Ultrasonics, May 2–5 (2013), pp 591–596

    Google Scholar 

  24. M.C. Remillieux, B.E. Anderson, P.-Y. Le Bas, T.J. Ulrich, Improving the air coupling of bulk piezoelectric transducers with wedges of power-law profiles: a numerical study. Ultrasonics 54(5), 1409–1416 (2014)

    Article  Google Scholar 

  25. M.C. Remillieux, B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, M.R. Haberman, J. Zhu, Review of air-coupled transduction for nondestructive testing and evaluation. Acoust. Today 10(3), 36–45 (2014)

    Google Scholar 

  26. B.E. Anderson, M.C. Remillieux, P.-Y. Le Bas, T.J. Ulrich, L. Pieczonka, Ultrasonic radiation from cubic-profile wedges: experimental results. Ultrasonics 63, 141–146 (2015)

    Article  Google Scholar 

  27. P.-Y. Le Bas, M.C. Remillieux, L. Pieczonka, J.A. Ten Cate, B.E. Anderson, T.J. Ulrich, Damage imaging in a laminated composite plate using an air-coupled time reversal mirror. Appl. Phys. Lett. 107, 184102 (2015)

    Article  Google Scholar 

  28. C. Prada, E. Kerbrat, D. Cassereau, M. Fink, Time reversal techniques in ultrasonic nondestructive testing of scattering media. Inv. Prob. 18, 1761–1773 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  29. C. Prada, M. Fink, Separation of interfering acoustic scattered signals using the invariant of the time-reversal operator. Application to Lamb waves characterization. J. Acoust. Soc. Am. 104, 801–807 (1998)

    Article  Google Scholar 

  30. E. Kerbrat, R.K. Ing, C. Prada, D. Cassereau, M. Fink, The DORT method applied to detection and imaging in plates using lamb waves, in Review of Progress in Quantitative Nondestructive Evaluation, AIP Conference Proceedings, pp 934–940 (2000)

    Google Scholar 

  31. E. Kerbrat, C. Prada, D. Cassereau, M. Fink, Ultrasonic nondestructive testing of scattering media using the decomposition of the time reversal operator. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 49, 1103–1113 (2002)

    Article  MATH  Google Scholar 

  32. B.E. Anderson, M. Scalerandi, A.S. Gliozzi, M. Griffa, T.J. Ulrich, P.A. Johnson, Selective source reduction to identify masked smaller sources using time reversed acoustics (TRA), in Review of Progress in Quantitative Nondestructive Evaluation, 27B, AIP Conference Proceedings, pp 1520–1527 (2008)

    Google Scholar 

  33. M. Scalerandi, A.S. Gliozzi, B.E. Anderson, M. Griffa, P.A. Johnson, T.J. Ulrich, Selective source reduction to identify masked sources using time reversal acoustics. J. Phys. D. Appl. Phys. 41, 155504 (2008)

    Article  Google Scholar 

  34. B.E. Anderson, T.J. Ulrich, M. Griffa, P.-Y. Le Bas, M. Scalerandi, A.S. Gliozzi, P.A. Johnson, Experimentally identifying masked sources applying time reversal with the selective source reduction method. J. Appl. Phys. 105(8), 083506 (2009)

    Article  Google Scholar 

  35. C. Dorme, M. Fink, Focusing in transmit-receive mode through inhomogeneous media: the time reversal matched filter approach. J. Acoust. Soc. Am. 98(2), 1155–1162 (1995)

    Article  Google Scholar 

  36. M. Fink, Time-reversal acoustics. J. Phys. Conf. Ser. 118(1), 012001–0120029 (2008)

    Article  Google Scholar 

  37. B.E. Anderson, B. Moser, K.L. Gee, Loudspeaker line array educational demonstration. J. Acoust. Soc. Am. 131(3), 2394–2400 (2012)

    Article  Google Scholar 

  38. R.P. Porter, in Generalized holography as a framework for solving inverse scattering and inverse source problems, ed. by E. Wolf. Progress in Optics XXVII (Elsevier, New York, 1989)

    Google Scholar 

  39. H.P. Bucker, Use of calculated sound fields and matched-field detection to locate sound sources in shallow water. J. Acoust. Soc. Am. 59(2), 368–373 (1976)

    Article  Google Scholar 

  40. A.B. Baggeroer, W.A. Kuperman, H. Schmidt, Matched-field processing: source localization in correlated noise as an optimum parameter estimation problem. J. Acoust. Soc. Am. 83(2), 571–587 (1988)

    Article  Google Scholar 

  41. D.H. Chambers, J.V. Candy, S.K. Lehman, J.S. Kallman, A.J. Poggio, A.W. Meyer, Time reversal and the spatio-temporal matched filter (L). J. Acoust. Soc. Am. 116(3), 1348–1350 (2004)

    Article  Google Scholar 

  42. G. Turek, W.A. Kuperman, Applications of matched-field processing to structural vibration problems. J. Acoust. Soc. Am. 101(3), 1430–1440 (1997)

    Article  Google Scholar 

  43. E. Baysal, D. Kosloff, J.W.C. Sherwood, Reverse time migration. Geophysics 48(11), 1514–1524 (1983)

    Article  Google Scholar 

  44. W.-F. Chang, G.A. McMechan, Elastic reverse-time migration. Geophysics 52(10), 1365–1375 (1987)

    Article  Google Scholar 

  45. B.E. Anderson, M. Griffa, P.-Y. Le Bas, T.J. Ulrich, P.A. Johnson, Experimental implementation of reverse time migration for nondestructive evaluation applications. J. Acoust. Soc. Am. 129(1), EL8–EL14 (2011)

    Article  Google Scholar 

  46. M. Fink, Time reversed acoustics. Phys. Today 50, 34–40 (1997)

    Article  Google Scholar 

  47. I. Nunez, C. Negreira, Efficiency parameters in time reversal acoustics: applications to dispersive media and multimode wave propagation. J. Acoust. Soc. Am. 117(3), 1202–1209 (2004)

    Article  Google Scholar 

  48. K.B. Cunningham, M.F. Hamilton, A.P. Brysev, L.M. Krutyansky, Time-reversed sound beams of finite amplitude. J. Acoust. Soc. Am. 109(6), 2668–2674 (2001)

    Article  Google Scholar 

  49. M. Tanter, J.-L. Thomas, F. Coulouvrat, M. Fink, Breaking of time reversal invariance in nonlinear acoustics. Phys. Rev. E 64, 016602 (2001)

    Article  Google Scholar 

  50. C. Hedberg, Basics of nonlinear time reversal acoustics. AIP Conf Proc 1106, 164–172 (2009)

    Article  Google Scholar 

  51. B.E. Anderson, M. Clemens, M.L. Willardson, The effect of transducer directionality on time reversal focusing. J. Acoust. Soc. Am. 142(1), EL95–El101 (2017)

    Article  Google Scholar 

  52. M. Griffa, B.E. Anderson, R.A. Guyer, T.J. Ulrich, P.A. Johnson, Investigation of the robustness of Time Reversal Acoustics in solid media through the reconstruction of temporally symmetric sources. J. Phys. D. Appl. Phys. 41(8), 085415 (2008)

    Article  Google Scholar 

  53. M. Scalerandi, M. Griffa, P.A. Johnson, Robustness of computational time reversal imaging in media with elastic constant uncertainties. J. Appl. Phys. 106(11), 114911 (2009)

    Article  Google Scholar 

  54. J. de Rosny, G. Lerosey, A. Tourin, M. Fink, in Time Reversal of Electromagnetic Waves, ed. by H. Ammari. Modeling and Computations in Electromagnetics. Lecture Notes in Computational Science and Engineering, vol. 59 (Springer, Berlin, Heidelberg, 2008), pp. 187–202

    Google Scholar 

  55. B. Wu, W. Cai, M. Alrubaiee, M. Xu, S.K. Gayen, Time reversal optical tomography: locating targets in a highly scattering turbid medium. Optics Exp. 19(22), 21956–21976 (2011)

    Article  Google Scholar 

  56. O.S. Burdo, M.M. Dargeiko, Wave-field control in an acoustically inhomogeneous medium. Cybernet. Compu. Technol. 1, 171–176 (1984)

    Google Scholar 

  57. O. Ikeda, An image reconstruction algorithm using phase conjugation for diffraction-limited imaging in an inhomogeneous medium. J. Acoust. Soc. Am. 85(4), 1602–1606 (1989)

    Article  Google Scholar 

  58. D.R. Jackson, D.R. Dowling, Phase conjugation in underwater acoustics. J. Acoust. Soc. Am. 89(1), 171–181 (1991)

    Article  Google Scholar 

  59. T. Shimura, Y. Watanabe, H. Ochi, H.C. Song, Long-range time reversal communication in deep water: experimental results. J. Acoust. Soc. Am. 132(1), EL49–EL53 (2012)

    Article  Google Scholar 

  60. B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, J.A. Ten Cate, Three-dimensional time reversal communications in elastic media. J. Acoust. Soc. Am. 139(2), EL25–EL30 (2016)

    Article  Google Scholar 

  61. C. Larmat, J.-P. Montagner, M. Fink, Y. Capdeville, A. Tourin, E. Clevede, Time-reversal imaging of seismic sources and applications to the great Sumatra earthquake. Geophys. Res. Lett. 33(19), L19312 (2006)

    Article  Google Scholar 

  62. C. Larmat, J. Tromp, Q. Liu, J.-P. Montagner, Time-reversal location of glacial earthquakes. J. Geophys. Res. 113(B9), B09314 (2008)

    Article  Google Scholar 

  63. C. Larmat, R.A. Guyer, P.A. Johnson, Tremor source location using time-reversal: selecting the appropriate imaging field. Geophys. Res. Lett. 36(22), L22304 (2009)

    Article  Google Scholar 

  64. C.S. Larmat, R.A. Guyer, P.A. Johnson, Time-reversal methods in geophysics. Phys. Today 63(8), 31–35 (2010)

    Article  Google Scholar 

  65. R.K. Ing, N. Quieffin, In solid localization of finger impacts using acoustic time-reversal process. Appl. Phys. Lett. 87(20), 204104 (2005)

    Article  Google Scholar 

  66. D. Vigoureux, J.-L. Guyader, A simplified time reversal method used to localize vibrations sources in a complex structure. Appl. Acoust. 73(5), 491–496 (2012)

    Article  Google Scholar 

  67. I. Rakotoarisoa, J. Fischer, V. Valeau, D. Marx, C. Prax, L.-E. Brizzi, Time-domain delay-and-sum beamforming for time-reversal detection of intermittent acoustic sources in flows. J. Acoust. Soc. Am. 136(5), 2675–2686 (2014)

    Article  Google Scholar 

  68. A. Mimani, Z. Prime, C.J. Doolan, P.R. Medwell, A sponge-layer damping technique for aeroacoustic time-reversal. J. Sound Vib. 342, 124–151 (2015)

    Article  Google Scholar 

  69. A. Mimani, Z. Prime, D.J. Moreau, C.J. Doolan, An experimental application of aeroacoustic time-reversal to the Aeolian tone. J. Acoust. Soc. Am. 139(2), 740–763 (2016)

    Article  Google Scholar 

  70. D.G. Albert, L. Liu, M.L. Moran, Time reversal processing for source location in an urban environment (L). J. Acoust. Soc. Am. 118(2), 616–619 (2005)

    Article  Google Scholar 

  71. S. Cheinet, L. Ehrhardt, T. Broglin, Impulse source localization in an urban environment: time reversal versus time matching. J. Acoust. Soc. Am. 139(1), 128–140 (2016)

    Article  Google Scholar 

  72. A.O. Maksimov, Y.A. Polovinka, Time reversal technique for gas leakage detection. J. Acoust. Soc. Am. 137(4), 2168–2179 (2015)

    Article  Google Scholar 

  73. B.E. Anderson, M. Griffa, T.J. Ulrich, P.A. Johnson, Time reversal reconstruction of finite sized sources in elastic media. J. Acoust. Soc. Am. 130(4), EL219–EL225 (2011)

    Article  Google Scholar 

  74. M. Fink, G. Montaldo, M. Tanter, Time-reversal acoustics in biomedical engineering. Annu. Rev. Biomed. Eng. 5, 465–497 (2003)

    Article  Google Scholar 

  75. M.L. Willardson, B.E. Anderson, S.M. Young, M.H. Denison, P.D. Patchett, Time reversal focusing of high amplitude sound in a reverberation chamber. J. Acoust. Soc. Am. 143(2), 696–705 (2018)

    Article  Google Scholar 

  76. B.E. Anderson, M. Griffa, T.J. Ulrich, P.-Y. Le Bas, R.A. Guyer, P.A. Johnson, Crack localization and Characterization in Solid Media Using Time Reversal Techniques (American Rock Mechanics Association, 2010), pp. 10–154

    Google Scholar 

  77. J.-L. Thomas, F. Wu, M.M. Fink, Time reversal mirror applied to litotripsy. Ultrason. Imaging 18, 106–121 (1996)

    Article  Google Scholar 

  78. J.-L. Thomas, M. Fink, Ultrasonic beam focusing through tissue inhomogeneities with a time reversal mirror: application to transskull therapy. IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 43(6), 1122–1129 (1996)

    Article  Google Scholar 

  79. M. Tanter, J.-L. Thomas, M. Fink, Focusing and steering through absorbing and aberating layers: application to ultrasonic propagation through the skull. J. Acoust. Soc. Am. 103(5), 2403–2410 (1998)

    Article  Google Scholar 

  80. G. Montaldo, P. Roux, A. Derode, C. Negreira, M. Fink, Ultrasound shock wave generator with one-bit time reversal in a dispersive medium, application to lithotripsy. Appl. Phys. Lett. 80(5), 87–89 (2002)

    Article  Google Scholar 

  81. S. Dos Santos, Z. Prevorovsky, Imaging of human tooth using ultrasound based chirp-coded nonlinear time reversal acoustics. Ultrasonics 51(6), 667–674 (2011)

    Article  Google Scholar 

  82. N. Chakroun, M. Fink, F. Wu, Ultrasonic non destructive testing with time reversal mirrors, in Proceedings IEEE Ultrasonics Symposium, Tucson, vol. 2 (1992), pp. 809–814

    Google Scholar 

  83. N. Chakroun, M. Fink, F. Wu, Time reversal processing in ultrasonic nondestructive testing. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 1087–1098 (1995)

    Article  Google Scholar 

  84. V. Miette, L. Sandrin, F. Wu, M. Fink, Optimisation of Time Reversal Processing in Titanium Inspections, in IEEE Ultrasonics Symposium Proceedings (1996) pp. 643–647

    Google Scholar 

  85. R.K. Ing, M. Fink, Time Recompression of Dispersive Lamb Wave Using A Time Reversal Mirror. Applications to Flaw Detection in Thin Plates, in IEEE Ultrasonics Symposium Proceedings, San Antonio, USA, Nov. 1996, pp 659–664 (1996)

    Google Scholar 

  86. T.J. Ulrich, P.A. Johnson, A. Sutin, Imaging nonlinear scatterers applying the time reversal mirror. J. Acoust. Soc. Am. 119(3), 1514–1518 (2006)

    Article  Google Scholar 

  87. T.J. Ulrich, P.A. Johnson, R.A. Guyer, Interaction dynamics of elastic waves with a complex nonlinear scatterer through the use of a time reversal mirror. Phys. Rev. Lett. 98, 104301 (2007)

    Article  Google Scholar 

  88. G. Zumpano, M. Meo, A new nonlinear elastic time reversal acoustic method for the identification and localisation of stress corrosion cracking in welded plate-like structures–a simulation study. Int. J. Solids Struct. 44(11), 3666–3684 (2007)

    Article  MATH  Google Scholar 

  89. B.E. Anderson, L. Pieczonka, M.C. Remillieux, T.J. Ulrich, P.-Y. Le Bas, Stress corrosion crack depth investigation using the time reversed elastic nonlinearity diagnostic. J. Acoust. Soc. Am. 141(1), EL76–EL81 (2017)

    Article  Google Scholar 

  90. T.J. Ulrich, A.M. Sutin, T. Claytor, P. Papin, P.-Y. Le Bas, J.A. TenCate, The time reversed elastic nonlinearity diagnostic applied to evaluation of diffusion bonds. Appl. Phys. Lett. 93(15), 151914 (2008)

    Article  Google Scholar 

  91. P.-Y. Le Bas, T.J. Ulrich, B.E. Anderson, R.A. Guyer, P.A. Johnson, Probing the interior of a solid volume with time reversal and nonlinear elastic wave spectroscopy. J. Acoust. Soc. Am. 130(4), EL258–EL263 (2011)

    Article  Google Scholar 

  92. C. Draeger, D. Cassereau, M. Fink, Theory of the time-reversal process in solids. J. Acoust. Soc. Amer. 102(3), 1289–1295 (1998)

    Article  Google Scholar 

  93. C. Draeger, J.-C. Aime, M. Fink, One-channel time-reversal in chaotic cavities: experimental results. J. Acoust. Soc. Am. 105(2), 618–625 (1999)

    Article  Google Scholar 

  94. R. Guyer, Nonlinear Tomography and Time Reversed Acoustics, in Presented at the 6th International Workshop on Nonlinear Elasticity in Materials, Leuven, Belgium, 2001

    Google Scholar 

  95. P.P. Delsanto, P.A. Johnson, M. Scalerandi, J.A. TenCate, LISA simulations of time-reversed acoustic and elastic wave experiments. J. Phys. D. Appl. Phys. 35(23), 3145–3152 (2002)

    Article  Google Scholar 

  96. A. Sutin, P. Johnson, J. TenCate, Development of nonlinear time reverse acoustics (NLTRA) for application to crack detection in solids, in Proceedings of the 5th World Congress on Ultrasonics, Paris, France, pp. 121–124 (2003)

    Google Scholar 

  97. A.M. Sutin, J.A. TenCate, P.A. Johnson, Single-channel time reversal in elastic solids. J. Acoust. Soc. Am. 116(5), 2779–2784 (2004)

    Article  Google Scholar 

  98. O. Bou Matar, S. Dos Santos, J. Fortineau, T. Goursolle, L. Haumesser, F. Vander Meulen, Pseudo Spectral Simulations of Elastic Waves Propagation in Heterogeneous Nonlinear Hysteretic Medium, in Proceedings of the 17th International Symposium on Nonlinear Acoustics, State College, PA, pp. 95–98 (2005)

    Google Scholar 

  99. Y. Zheng, R.G. Maev, I.Y. Solodov, Nonlinear acoustic applications for material characterization: a review. Can. J. Phys. 77(12), 927–967 (2000)

    Article  Google Scholar 

  100. P. Nagy, Fatigue damage assessment by nonlinear ultrasonic materials characterization. Ultrasonics 36(1–5), 375–381 (1998)

    Article  Google Scholar 

  101. P.A. Johnson, The new wave in acoustic testing. Mat. World 7, 544–546 (1999)

    Google Scholar 

  102. I.Y. Solodov, B.A. Korshak, Instability, chaos, and “memory” in acoustic-wave-crack interaction. Phys. Rev. Lett. 81(1), 014303 (2001)

    Article  Google Scholar 

  103. I.Y. Solodov, N. Krohn, G. Busse, CAN: an example of nonclassical acoustic nonlinearity in solids. Ultrasonics 40(1), 621–625 (2002)

    Article  Google Scholar 

  104. I. Solodov, J. Wackerl, K. Pfleiderer, G. Busse, Nonlinear self-modulation and subharmonic acoustic spectroscopy for damage detection and location. Appl. Phys. Lett. 84(26), 5386–5388 (2004)

    Article  Google Scholar 

  105. S. Delrue, K. Van Den Abeele, Three-dimensional finite element simulation of closed delaminations in composite materials. Ultrasonics 52(2), 315–324 (2012)

    Article  Google Scholar 

  106. P. Blanloeuil, A. Meziane, C. Bacon, Numerical study of nonlinear interaction between a crack and elastic waves under an oblique incidence. Wave Motion 51(3), 425–437 (2014)

    Article  MathSciNet  Google Scholar 

  107. T.J. Ulrich, B.E. Anderson, M.C. Remillieux, P.Y. Le Bas, L. Pieczonka, in Application of Nonlinear Ultrasonics to Inspection of Stainless Steel for Dry Storage. Tech. rep. LA-UR-15-27382, Los Alamos National Laboratory (LANL), 2015

    Google Scholar 

  108. K. Kimoto, Y. Ichikawa, A finite difference method for elastic wave scattering by a planar crack with contacting faces. Wave Motion 52, 120–137 (2015)

    Article  MathSciNet  Google Scholar 

  109. T. Goursolle, S. Dos Santos, O. Bou Matar, S. Calle, Non-linear based time reversal acoustic applied to crack detection: simulations and experiments. Int. J. of Nonlinear Mech. 43(3), 170–177 (2008)

    Article  Google Scholar 

  110. P. Blanloeuil, L.R.F. Rose, J.A. Guinto, M. Veidt, C.H. Wang, Closed crack imaging using time reversal method based on fundamental and second harmonic scattering. Wave Motion 66, 156–176 (2016)

    Article  MathSciNet  Google Scholar 

  111. S. Krishnan, M. O’Donnell, Transmit aperture processing for nonlinear contrast agent imaging. Ultrason. Imaging 18(2), 77–105 (1996)

    Article  Google Scholar 

  112. A. Sutin, B. Libbey, V. Kurtenoks, D. Fenneman, A. Sarvazyan, Nonlinear detection of land mines using wide bandwidth time-reversal techniques. Proc. SPIE 6217, 398–409 (2006)

    Google Scholar 

  113. F. Ciampa, M. Meo, Nonlinear elastic imaging using reciprocal time reversal and third order symmetry analysis. J. Acoust. Soc. Am. 131(6), 4316–4323 (2012)

    Article  Google Scholar 

  114. M. Scalerandi, A.S. Gliozzi, C.L.E. Bruno, D. Masera, P. Bocca, A scaling method to enhance detection of a nonlinear elastic response. Appl. Phys. Lett. 92(10), 101912 (2008)

    Article  Google Scholar 

  115. M. Scalerandi, A.S. Gliozzi, C.L.E. Bruno, K. Van Den Abeele, Nonlinear acoustic time reversal imaging using the scaling subtraction method. J. Physics D: Appl. Phys. 41(21), 215404 (2008)

    Article  Google Scholar 

  116. C. Payan, T.J. Ulrich, P.Y. Le Bas, M. Griffa, P. Schuetz, M.C. Remillieux, T.A. Saleh, Probing material nonlinearity at various depths by time reversal mirrors. Appl. Phys. Lett. 104(14), 144102 (2014)

    Article  Google Scholar 

  117. M.C. Remillieux, B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, C. Payan, Depth profile of a time-reversal focus in an elastic solid. Ultrasonics 58, 60–66 (2015)

    Article  Google Scholar 

  118. T.J. Ulrich, K. Van Den Abeele, P.-Y. Le Bas, M. Griffa, B.E. Anderson, R.A. Guyer, Three component time reversal: focusing vector components using a scalar source. J. Appl. Phys. 106(11), 113504 (2009)

    Article  Google Scholar 

  119. K. Van Den Abeele, T.J. Ulrich, P.-Y. Le Bas, M. Griffa, B.E. Anderson, R.A. Guyer, Vector component focusing in elastic solids using a scalar source in three component time reversal. Phys. Procedia 3(1), 685–689 (2010)

    Article  Google Scholar 

  120. B.E. Anderson, T.J. Ulrich, P.-Y. Le Bas, Imaging crack orientation using the time reversed elastic nonlinearity diagnostic with three component time reversal. J. Acoust. Soc. Am. 133(5), 3562 (2013)

    Article  Google Scholar 

  121. M.C. Remillieux, P.-Y. Le Bas, L. Pieczonka, B.E. Anderson, T.J. Ulrich, Estimating the penetration depth and orientation of stress corrosion cracks using time-reversal acoustics. Trans. Am. Nuclear Soc. 115, 217–220 (2016)

    Google Scholar 

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Acknowledgements

The authors wish to thank their various sources of funding over the years through the US Department of Energy. They also wish to thank Marci Harwood for helpful editing of the figures.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Brigham Young University, Provo, UT, USA

    Brian E. Anderson

  2. Geophysics Group (EES-17), Los Alamos National Laboratory, Los Alamos, NM, USA

    Marcel C. Remillieux

  3. Detonation Science and Technology Group (Q-6), Los Alamos National Laboratory, Los Alamos, NM, USA

    Pierre-Yves Le Bas & T. J. Ulrich

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  1. Brian E. Anderson
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  2. Marcel C. Remillieux
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  3. Pierre-Yves Le Bas
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  4. T. J. Ulrich
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Correspondence to Brian E. Anderson .

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  1. Department of Civil Engineering and Engineering Mechanics, Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA

    Tribikram Kundu

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Anderson, B.E., Remillieux, M.C., Le Bas, PY., Ulrich, T.J. (2019). Time Reversal Techniques. In: Kundu, T. (eds) Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation. Springer, Cham. https://doi.org/10.1007/978-3-319-94476-0_14

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