L. Entaille-inclinée-débouchante-l-d, T. , L. , T. , and T. , Images FTP avec échos de coin L rf, p.134

L. Entaille-inclinée-débouchante-l-d, T. , L. , T. , and T. , Images FTP avec échos de coin T rf, p.135

L. Défaut-incliné-erroné, L. , T. , L. , T. et al., Images FTP (simulées) avec échos de coin, p.137

T. Défaut-incliné-erroné, L. , T. , L. , T. et al., Images FTP (simulées) avec échos de coin, p.138

.. Pièce-complexe, Configuration de contrôle FMC (acquisition n o 1), p.140

.. Pièce-complexe, Images FTP avec trajets directs, p.141

. Pièce-complexe, Images FTP avec échos de coin L rf L d L, L rf L d T

L. Pièce-complexe, L. , and T. , Images FTP avec échos de coin T rf

.. Pièce-complexe, Configuration de contrôle FMC (acquisition n o 2), p.145

.. Pièce-complexe, Images FTP avec trajets directs, p.146

. Pièce-complexe, Images FTP avec échos de coin L rf L d L, L rf L d T

L. Pièce-complexe, L. , T. , L. , and T. , Images FTP avec échos de coin T rf1 Cas d'une pièce avec un fond plan incliné. Représentation d'une isochrone relative à un écho de coin

. Entaille-verticale-débouchante....., Estimations des extrémités avec trajets directs, p.110

. Entaille-verticale-débouchante...., Résultats de reconstruction avec échos de coin, p.114

. Entaille-verticale-À-coeur.........., Estimations des extrémités avec trajets directs, p.119

. Entaille-verticale-À-coeur........., Résultats de reconstruction avec échos de coin, p.120

D. Entaille-inclinée, Estimations des extrémités par trajets directs, p.124

D. Entaille-inclinée, Résultats de reconstruction avec échos de coin, p.126

D. Entaille-inclinée, Estimations des extrémités par trajets directs, p.132

D. Entaille-inclinée, Résultats de reconstruction avec échos de coin, p.136

H. Ammari, P. Calmon, and E. Iakovleva, Direct Elastic Imaging of a Small Inclusion, SIAM Journal on Imaging Sciences, vol.1, issue.2, pp.169-187, 2008.
DOI : 10.1137/070696076

URL : https://hal.archives-ouvertes.fr/hal-00654620

B. A. Auld, General electromechanical reciprocity relations applied to the calculation of elastic wave scattering coefficients, Wave Motion, vol.1, issue.1, pp.3-10, 1979.
DOI : 10.1016/0165-2125(79)90020-9

A. J. Berkhout, The seismic method in the search for oil and gas : current techniques and future development, Proceedings of the IEEE, pp.1133-1159, 1986.

A. Bulavinov, M. Dalichow, M. Kröning, J. H. Kurz, F. Walte et al., Quantitative Ultrasonic Testing of Pressurized Components Using Sampling Phased Array, Proceedings of the National Seminar on Non-Destructive Evaluation, pp.7-9, 2006.

L. Butin, A. Lhémery, and P. Calmon, A model for predicting effects of surface wave propagation on the echo response from planar cracks, Ultrasonics, vol.36, issue.1-5, pp.133-140, 1998.
DOI : 10.1016/S0041-624X(97)00140-6

C. Cafforio, C. Prati, and E. Rocca, SAR data focusing using seismic migration techniques, IEEE Transactions on Aerospace and Electronic Systems, vol.27, issue.2, pp.194-207, 1991.
DOI : 10.1109/7.78293

P. Calmon, E. Iakovleva, A. Fidahoussen, and G. Ribay, MODEL BASED RECONSTRUCTION OF UT ARRAY DATA, AIP Conference Proceedings, pp.699-706, 2008.
DOI : 10.1063/1.2902730

P. Calmon, A. Lhémery, I. Lecoeur-taïbi, R. Raillon, and L. Paradis, Models for the computation of ultrasonic fields and their interaction with defects in realistic NDT configurations, Nuclear Engineering and Design, vol.180, issue.3, pp.271-283, 1998.
DOI : 10.1016/S0029-5493(97)00299-9

O. Casula, C. Poidevin, G. Cattiaux, and . Ph, DUMAS : Control of Complex Components with Smart Flexible Phased Arrays, Review of Progress in Quantitative Nondestructive Evaluation, vol.25, issue.5, pp.829-836, 2006.

P. Catton, A. Haig, R. Sanderson, and M. Weston, MUDGE : Enhanced signal processing and characterization using guided waves, Review of Progress in Quantitative Nondestructive Evaluation, vol.29, issue.9, pp.607-614, 2009.
DOI : 10.1063/1.3362450

N. Chakroun, M. Fink, and F. Wu, Time reversal processing in ultrasonic nondestructive testing, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.42, issue.6, pp.1087-1098, 1995.
DOI : 10.1109/58.476552

Y. Chang and C. , CHERN : Frequency-Wavenumber Migration of Ultrasonic Data, Journal of Nondestructive Evaluation, vol.19, issue.1, pp.1-10, 2000.
DOI : 10.1023/A:1006671706818

S. Chatillon, Étude d'un système de contrôle par ultrasons des pièces de géométrie complexe à l'aide de traducteurs contacts intelligents, Thèse de doctorat, 1999.

M. Cheney, The linear sampling method and the MUSIC algorithm, Inverse Problems, vol.17, issue.4, pp.591-595, 2001.
DOI : 10.1088/0266-5611/17/4/301

R. Y. Chiao and L. J. Thomas, Aperture formation on reduced-channel arrays using the transmit-receive apodization matrix, 1996 IEEE Ultrasonics Symposium. Proceedings, pp.1567-1571, 1996.
DOI : 10.1109/ULTSYM.1996.584385

J. F. Claerbout, TOWARD A UNIFIED THEORY OF REFLECTOR MAPPING, GEOPHYSICS, vol.36, issue.3, pp.467-481, 1971.
DOI : 10.1190/1.1440185

G. D. Connolly, M. J. Lowe, S. I. Rokhlin, and J. A. , TEMPLE : Synthetically focused imaging techniques in simulated austenitic steel welds using an ultrasonic phased array, Review of Progress in Quantitative Nondestructive Evaluation, vol.29, issue.9, pp.871-878, 2009.

M. Darmon, P. Calmon, and C. , BELE : Modelling of the ultrasonic response of inclusions in steels, Review of Progress in Quantitative Nondestructive Evaluation, vol.22, issue.7, pp.101-108, 2003.

A. J. Devaney, Time reversal imaging of obscured targets from multistatic data, IEEE Transactions on Antennas and Propagation, vol.53, issue.5, pp.1600-1610, 2005.
DOI : 10.1109/TAP.2005.846723

S. R. Doctor, T. E. Hall, and L. D. Reid, SAFT ??? the evolution of a signal processing technology for ultrasonic testing, NDT International, vol.19, issue.3, pp.163-167, 1986.
DOI : 10.1016/0308-9126(86)90105-7

N. Favretto-cristini, P. Cristini, E. De, and B. , What is a seismic reflector like ? Geophysics, pp.13-23, 2009.

M. Fink, Time reversal of ultrasonic field -part I : Basic principles, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol.39, issue.6, pp.556-566, 1992.

J. Gazdag and P. Sguazzero, Migration of seismic data, Proceedings of the IEEE, pp.1302-1315, 1984.
DOI : 10.1109/PROC.1984.13019

N. Gengembre, Modélisation du champ ultrasonore rayonné dans un solide anisotrope et hétérogène par un traducteur immergé, Thèse de doctorat, 1999.

N. Gengembre, Pencil method in elastodynamics: application to ultrasonic field computation, Ultrasonics, vol.38, issue.1-8, pp.495-499, 2000.
DOI : 10.1016/S0041-624X(99)00068-2

P. T. Gough and D. W. Hawkins, Imaging algorithms for a strip-map synthetic aperture sonar: minimizing the effects of aperture errors and aperture undersampling, IEEE Journal of Oceanic Engineering, vol.22, issue.1, pp.27-39, 1997.
DOI : 10.1109/48.557537

C. Holmes, B. W. Drinkwater, and P. D. Wilcox, Post-processing of the full matrix of ultrasonic transmit???receive array data for non-destructive evaluation, NDT & E International, vol.38, issue.8, pp.701-711, 2005.
DOI : 10.1016/j.ndteint.2005.04.002

A. J. Hunter, B. W. Drinkwater, and P. D. Wilcox, The wavenumber algorithm for full-matrix imaging using an ultrasonic array, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.55, issue.11, pp.552450-2462, 2008.
DOI : 10.1109/TUFFC.952

J. A. Jensen, S. I. Nikolov, K. L. Gammelmark, and M. H. Pedersen, Synthetic aperture ultrasound imaging, Ultrasonics, vol.44, issue.8, pp.5-15, 2006.
DOI : 10.1016/j.ultras.2006.07.017

H. Jeong, J. Lee, and C. Lee, TIME REVERSAL BEAM FOCUSING OF ULTRASONIC ARRAY TRANSDUCER ON A DEFECT IN A TWO LAYER MEDIUM, Review of Progress in Quantitative Nondestructive Evaluation, vol.29, issue.9, pp.948-953, 2009.
DOI : 10.1063/1.3362533

M. Karaman, P. C. Li, and M. O. Donnell, Synthetic aperture imaging for small scale systems, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.42, issue.3, pp.429-442, 1995.
DOI : 10.1109/58.384453

G. S. Kino, Acoustic Waves : Devices, Imaging and Analog Signal Processing 107 A. KIRSCH : The MUSIC algorithm and the factorisation method in inverse scattering theory for inhomogeneous media, Inverse Problems, vol.18, issue.4 10, pp.1025-1040, 1987.

H. S. Kwon, S. H. Cho, S. S. Lee, and J. Y. Kim, AN IMPROVED PROCESSING ALGORITHM FOR GUIDED WAVE PHASED ARRAY IN PLATE STRUCTURES, Review of Progress in Quantitative Nondestructive Evaluation, vol.29, issue.9, pp.655-661, 2009.
DOI : 10.1063/1.3362456

K. Lehman and A. J. , Transmission mode time-reversal super-resolution imaging, The Journal of the Acoustical Society of America, vol.113, issue.5, pp.2742-2753, 2003.
DOI : 10.1121/1.1566975

A. Lhémery, Impulse???response method to predict echo???responses from targets of complex geometry. Part I: Theory, The Journal of the Acoustical Society of America, vol.90, issue.5, pp.2799-2807, 1991.
DOI : 10.1121/1.401877

F. Lingvall, A method of improving overall resolution in ultrasonic array imaging using spatio-temporal deconvolution, Ultrasonics, vol.42, issue.1-9, pp.961-968, 2004.
DOI : 10.1016/j.ultras.2003.12.016

G. R. Lockwood, J. R. Talman, and S. S. Brunke, Real-time 3-D ultrasound imaging using sparse synthetic aperture beamforming, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.45, issue.4, pp.980-988, 1998.
DOI : 10.1109/58.710573

S. Mahaut, S. Chatillon, N. Leymarie, F. Jenson, and P. Calmon, Simulation tools for predicting non destructive testing of heterogneous and anisotropic structures, The International Congress of Ultrasonics, pp.9-12

S. Mahaut, O. Roy, and C. Beroni, Development of phased array techniques to improve characterization of defect located in a component of complex geometry, Ultrasonics, vol.40, issue.1-8, pp.165-169, 2002.
DOI : 10.1016/S0041-624X(02)00131-2

K. Mayer, R. Marklein, K. J. Langenberg, and T. Kreutter, Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique, Ultrasonics, vol.28, issue.4, pp.241-255, 1990.
DOI : 10.1016/0041-624X(90)90091-2

L. Moreau, B. W. Drinkwater, and P. D. Wilcox, Ultrasonic imaging algorithms with limited transmission cycles for rapid nondestructive evaluation, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.56, issue.9, pp.1932-1944, 2009.
DOI : 10.1109/TUFFC.2009.1269

M. Méphane, Modélisation du contrôle ultrasonore de tubes d'acier présentant des défauts de type « entaille longitudinale, Thèse de doctorat, 1997.

K. Nagai, Fourier domain reconstruction of synthetic focus acoustic imaging system, Proceedings of the IEEE, pp.748-749, 1984.
DOI : 10.1109/PROC.1984.12929

J. Poguet, L. Chupin, P. Gendreu, S. Mahaut, and O. Roy, Contrôle ultrasonore au moyen de traducteurs multi-éléments : design et applications. The e-Journal of, Nondestructive Testing & Ultrasonics, vol.6, issue.8 4, 2001.

J. Porré, Conception de méthodes de reconstruction ultrasonore pour le contrôle par multi-éléments de composants complexes, Thèse de doctorat, p.19, 2005.

J. Porré, S. Mahaut, and S. Chatillon, CALMON : Simulation of phased array techniques and model based data reconstruction, Review of Progress in Quantitative Nondestructive Evaluation, vol.24, issue.8, pp.906-913, 2005.

C. Prada and M. Fink, Eigenmodes of the time reversal operator: A solution to selective focusing in multiple-target media, Wave Motion, vol.20, issue.2, pp.151-163, 1994.
DOI : 10.1016/0165-2125(94)90039-6

C. Prada, E. Kerbrat, D. Cassereau, and M. Fink, Time reversal techniques in ultrasonic nondestructive testing of scattering media, Inverse Problems, vol.18, issue.6, pp.1761-1773, 2002.
DOI : 10.1088/0266-5611/18/6/320

C. Prada and J. L. Thomas, Experimental subwavelength localization of scatterers by decomposition of the time reversal operator interpreted as a covariance matrix, The Journal of the Acoustical Society of America, vol.114, issue.1, pp.235-243, 2003.
DOI : 10.1121/1.1568759

URL : https://hal.archives-ouvertes.fr/hal-00017627

M. Reid and J. J. Wild, Current Devevelopments in Ultrasonic Equipment for Medical Diagnosis, Transactions of the IRE Professional Group on Ultrasonic Engineering, vol.5, issue.1, pp.44-58, 1957.
DOI : 10.1109/T-PGUE.1957.29232

O. Roy, S. Mahaut, M. Serre, and A. Lhémery, Application of ultrasonic beam-forming and self-focusing techniques to defect characterization, Proceedings of the First International Conference on NDE in Relation to Structural Integrity for Nuclear and Pressurized Component, pp.480-487, 1999.

R. Saglio and A. C. Prot, Ultrasonic Focusing Techniques, Research techniques in nondestructive testing, 1985.

L. Schmerr and S. J. Song, Ultrasonic Nondestructive Evaluation Systems, p.104, 2007.
DOI : 10.1007/978-0-387-49063-2

J. Seydel, Research Techniques in Nondestructive Testing chapitre Ultrasonic Synthetic Aperture Focusing Techniques in NDT, pp.1-47, 1982.

C. W. Sherwin, J. P. Ruina, and R. D. , RAWCLIFFE : Some early developments in synthetic aperture radar systems, IRE Transactions on Military Electronics, vol.6, issue.8, pp.111-115, 1962.

A. Shlivinski and K. J. Langenberg, Defect imaging with elastic waves in inhomogeneous???anisotropic materials with composite geometries, Ultrasonics, vol.46, issue.1, pp.89-104, 2007.
DOI : 10.1016/j.ultras.2006.04.005

S. Song, H. J. Shin, and Y. H. Jang, Development of an ultra sonic phased array system for nondestructive tests of nuclear power plant components, Nuclear Engineering and Design, vol.214, issue.1-2, pp.151-161, 2002.
DOI : 10.1016/S0029-5493(02)00024-9

T. Stepinski, An Implementation of Synthetic Aperture Focusing Technique in Frequency Domain, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.54, issue.7, pp.1399-1408, 2007.
DOI : 10.1109/TUFFC.2007.400

G. Toullelan, A. Nadim, O. Casula, E. Abittan, L. Doudet et al., Contrôle de composants de géométries complexes à l'aide de traducteurs multi-éléments flexibles, Journées de la COnfédération FRançaise pour les Essais Non Destructifs (COFREND), mai 2008. Actes sur CD-ROM : 9 pages

P. D. Wilcox, C. Holmes, and B. W. Drinkwater, Advanced Reflector Characterization with Ultrasonic Phased Arrays in NDE Applications, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.54, issue.8, pp.1541-1550, 2007.
DOI : 10.1109/TUFFC.2007.424

C. A. Wiley, Pulsed Doppler Radar methods and apparatus. Rapport technique, US Patent 3 196 436, 1954.

J. Zhang, B. W. Drinkwater, and P. D. Wilcox, THE USE OF SCATTERING MATRIX TO MODEL MULTI-MODAL ARRAY INSPECTION WITH THE TFM, AIP Conference Proceedings, pp.888-895, 2009.
DOI : 10.1063/1.3114351