Propagation of initially bi-harmonic sound waves in a 1D semiinfinite medium with hysteretic non-linearity, pp.1053-1059, 2004. ,
A new absorbing layer for elastic waves, Journal of Computational Physics, vol.215, issue.2, pp.642-660, 2006. ,
DOI : 10.1016/j.jcp.2005.11.006
Application of a perfectly matched layer to the nonlinear wave equation, Wave Motion, vol.44, issue.7-8, pp.531-548, 2007. ,
DOI : 10.1016/j.wavemoti.2007.01.004
Quadrature-Free Implementation of Discontinuous Galerkin Method for Hyperbolic Equations, AIAA Journal, vol.36, issue.5, pp.775-782, 1998. ,
DOI : 10.2514/2.436
Optimal focusing by spatio-temporal inverse filter. II. Experiments. Application to focusing through absorbing and reverberating media, The Journal of the Acoustical Society of America, vol.110, issue.1 ,
DOI : 10.1121/1.1377052
Acoustic Fields and Waves in Solids, 1990. ,
Development of absorbing conditions for the analysis of finite dimension elastic wave-guides Nonlinear wave propagation in damaged hysteretic materials using a frequency domain-based PM space formulation, Proc. Of the, pp.729-732, 2007. ,
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier???Stokes Equations, Journal of Computational Physics, vol.131, issue.2, pp.267-279, 1997. ,
DOI : 10.1006/jcph.1996.5572
Stability of perfectly matched layers, group velocities and anisotropic waves, Journal of Computational Physics, vol.188, issue.2, pp.399-433, 2003. ,
DOI : 10.1016/S0021-9991(03)00184-0
PMLs for the numerical simulation of harmonic diffracted waves in an elastic plate, Proceedings of the WCU 2003, pp.1019-1022, 2003. ,
On the Long-Time Behavior of Unsplit Perfectly Matched Layers, IEEE Transactions on Antennas and Propagation, vol.52, issue.5, pp.1335-1342, 2004. ,
DOI : 10.1109/TAP.2004.827253
Etude expérimentale et numérique de l'intéraction des ondes de Lamb en présence d'endommagements présents dans des structures d'aluminium, 2006. ,
Study of the fundamental Lamb modes interaction with symmetrical notches, NDT & E International, vol.41, issue.1, pp.1-9, 2008. ,
DOI : 10.1016/j.ndteint.2007.07.001
URL : https://hal.archives-ouvertes.fr/hal-00360324
Effect of a non-linear boundary layer on the radiation from earthquakes and underground nuclear explosions, Geophysical Journal International, vol.132, issue.3, pp.549-576, 1998. ,
DOI : 10.1046/j.1365-246x.1998.00446.x
A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.195-200, 1994. ,
DOI : 10.1006/jcph.1994.1159
On the reflection from Cummer's nearly perfectly matched layer, IEEE Microwave and Wireless Components Letters, vol.14, issue.7, pp.334-336, 2004. ,
DOI : 10.1109/LMWC.2004.829272
Analytical reference solutions, Modeling the earth for oil exploration, pp.421-427, 1994. ,
Regular and irregular semiclassical wavefunctions, Journal of Physics A: Mathematical and General, vol.10, issue.12, pp.2083-2090, 1977. ,
DOI : 10.1088/0305-4470/10/12/016
: Methodology and algorithm for an efficient and optimally inexpensive viscoelastic technique, GEOPHYSICS, vol.60, issue.1, pp.176-184, 1995. ,
DOI : 10.1190/1.1443744
Theory and applications of time reversal and interferometric imaging, Inverse Problems, vol.19, issue.6, pp.139-164, 2003. ,
DOI : 10.1088/0266-5611/19/6/058
URL : https://hal.archives-ouvertes.fr/hal-00106406
Two-dimensional axisymmetric numerical simulation of supercritical phase conjugation of ultrasound in active solid media, The Journal of the Acoustical Society of America, vol.118, issue.5, pp.2880-2890, 2005. ,
DOI : 10.1121/1.2062467
Pseudo spectral simulations of elastic waves propagation in heterogeneous nonlinear hysteretic medium, Proceedings of the 17th International Symposium of Nonlinear Acoustics, pp.95-98, 2005. ,
Simulations of Nonlinear Time Reversal Imaging of Damaged Materials, Proceedings of the Ninth European Conference on Non-Destructive Testing, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00286340
An optimized Convolution-Perfectly Matched Layer (C-PML) Absorbing Boundary Condition for the Second-Order Elastic Wave Equation-Application to Surface and Lamb Waves Propagation, Proceeding of the 1 st European COMSOL conference, 2007. ,
On the use of a chaotic cavity transducer in nonlinear elastic imaging, Applied Physics Letters, vol.95, issue.14 ,
DOI : 10.1063/1.3245306
URL : https://hal.archives-ouvertes.fr/hal-00469658
Numerical modeling of double-layered piezoelectric transducer systems using a high-order discontinuous Galerkin method, Computers & Structures, vol.86, issue.17-18, pp.1747-1756, 2008. ,
DOI : 10.1016/j.compstruc.2008.02.006
Analysis of elastic nonlinearity using the scaling subtraction method, Physical Review B, vol.79, issue.6, p.64108, 2009. ,
DOI : 10.1103/PhysRevB.79.064108
Regenerative amplification of acoustic waves with phase conjugation in a ferrite, Sov. Phys. Acoust, vol.34, issue.6, pp.567-569, 1988. ,
Wave phase conjugation of ultrasonic beams, Physics-Uspekhi, vol.41, issue.8, pp.793-805, 1998. ,
DOI : 10.1070/PU1998v041n08ABEH000429
Nonlinear ultrasonic phase-conjugate beams and their application in ultrasonic imaging, Acoustical Physics, vol.50, issue.6, pp.623-640, 2004. ,
DOI : 10.1134/1.1825091
URL : https://hal.archives-ouvertes.fr/hal-00162757
Acoustic harmonic generation at unbonded interfaces and fatigue cracks, Applied Physics Letters, vol.33, issue.5, pp.371-373, 1978. ,
DOI : 10.1063/1.90399
Problem of reversal of an acoustic wavefront and amplification of the reversed wave, Soviet Journal of Quantum Electronics, vol.11, issue.5, pp.687-688, 1981. ,
DOI : 10.1070/QE1981v011n05ABEH007026
WAVE-PROPAGATION SIMULATION IN AN ELASTIC ANISOTROPIC (TRANSVERSELY ISOTROPIC) SOLID, The Quarterly Journal of Mechanics and Applied Mathematics, vol.41, issue.3, pp.319-345, 1988. ,
DOI : 10.1093/qjmam/41.3.319
Fourth-Order 2N-Storage Runge-Kutta Schemes, NASA Technical Memorandum, 1994. ,
Time-reversal of ultrasonic fields. III. Theory of the closed time-reversal cavity, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.39, issue.5, pp.579-592, 1992. ,
DOI : 10.1109/58.156176
Finite element predictions for the dynamic response of thermo-viscoelastic material structures, The Journal of the Acoustical Society of America, vol.115, issue.3, pp.1125-1133, 2004. ,
DOI : 10.1121/1.1639332
Finite difference time domain methods for piezoelectric crystals, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.53, issue.10, pp.1895-1901, 2006. ,
DOI : 10.1109/TUFFC.2006.122
A nonreflecting boundary condition for discrete acoustic and elastic wave equations, GEOPHYSICS, vol.50, issue.4, pp.705-708, 1985. ,
DOI : 10.1190/1.1441945
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
Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle, Computer Methods in Applied Mechanics and Engineering, vol.128, issue.3-4, pp.405-417, 1995. ,
DOI : 10.1016/0045-7825(95)00889-6
Parallel numerical simulation of the ultrasonic waves in a prestressed formation, Ultrasonics, vol.44, pp.1013-1017, 2006. ,
DOI : 10.1016/j.ultras.2006.05.049
PERFECTLY MATCHED LAYERS FOR ELASTODYNAMICS: A NEW ABSORBING BOUNDARY CONDITION, Journal of Computational Acoustics, vol.04, issue.04, pp.341-359, 1996. ,
DOI : 10.1142/S0218396X96000118
Complex coordinate system as a generalized absorbing boundary condition, IEEE Antennas and Propagation Society International Symposium 1997. Digest, pp.363-369, 1997. ,
DOI : 10.1109/APS.1997.631834
Absorbing boundary conditions for acoustic and elastic wave equations, Bull. Seismol. Soc. Am, vol.67, pp.1529-1540, 1977. ,
Discontinuous Galerkin methods for Maxwell's equations in the time domain, Comptes Rendus Physique, vol.7, issue.5, pp.494-500, 2006. ,
DOI : 10.1016/j.crhy.2006.03.004
Optimizing the perfectly matched layer, Computer Methods in Applied Mechanics and Engineering, vol.164, issue.1-2, pp.157-171, 1998. ,
DOI : 10.1016/S0045-7825(98)00052-8
Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media, GEOPHYSICS, vol.66, issue.1, pp.294-307, 2001. ,
DOI : 10.1190/1.1444908
A simple, nearly perfectly matched layer for general electromagnetic media, IEEE Microwave and Wireless Components Letters, vol.13, issue.3, pp.128-130, 2003. ,
DOI : 10.1109/LMWC.2003.810124
Measurement of the acoustic harmonic generation for materials characterization using contact transducers, Rev. Prog. Quant. Nondestr. Eval, vol.11, pp.2069-2076, 1992. ,
A modification of Cagniard's method for solving seismic pulse problems, Appl. Sci. Res. B, vol.8, issue.1, pp.349-356, 1960. ,
Kelvin Notation for Stabilizing Elastic-Constant Inversion, Revue de l'Institut Fran??ais du P??trole, vol.53, issue.5, pp.709-719, 1998. ,
DOI : 10.2516/ogst:1998063
A 2D spring model for the simulation of ultrasonic wave propagation in nonlinear hysteretic media, Ultrasonics, vol.44, issue.3, pp.279-286, 2006. ,
DOI : 10.1016/j.ultras.2006.01.002
Computing with hp-Adaptive Finite Elements: Volume 1, One and Two Dimensional Elliptic and Maxwell Problems, In Applied Mathematics & Nonlinear Science, vol.7, 2006. ,
DOI : 10.1201/9781420011685
Robust Acoustic Time Reversal with High-Order Multiple Scattering, Physical Review Letters, vol.75, issue.23, pp.4206-4209, 1995. ,
DOI : 10.1103/PhysRevLett.75.4206
Ultrasonic pulse compression with one-bit time reversal through multiple scattering, Journal of Applied Physics, vol.85, issue.9, pp.6343-6352, 1999. ,
DOI : 10.1063/1.370136
One-Channel Time Reversal of Elastic Waves in a Chaotic 2D-Silicon Cavity, Physical Review Letters, vol.79, issue.3, pp.407-410, 1997. ,
DOI : 10.1103/PhysRevLett.79.407
One-channel time-reversal in chaotic cavities: Experimental results, The Journal of the Acoustical Society of America, vol.105, issue.2, pp.618-625, 1999. ,
DOI : 10.1121/1.426252
One-channel time-reversal in chaotic cavities: Theoretical limits, The Journal of the Acoustical Society of America, vol.105, issue.2, pp.611-617, 1999. ,
DOI : 10.1121/1.426251
Complex frequency shifted convolution PML for FDTD modelling of elastic waves, Wave Motion, vol.44, issue.7-8, pp.593-604, 2007. ,
DOI : 10.1016/j.wavemoti.2007.03.003
A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves, GEOPHYSICS, vol.72, issue.2, pp.9-17, 2007. ,
DOI : 10.1190/1.2424888
Surface acoustic wave µstreaming to enhance biosensing in a droplet-based µTAS platform, Proceed. of the International Conference on Miniaturized Systems for Chemistry and Life Sciences (MicroTAS), 2007. ,
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - II. The three-dimensional isotropic case, Geophysical Journal International, vol.167, issue.1, pp.319-336, 2006. ,
DOI : 10.1111/j.1365-246X.2006.03120.x
-adaptivity, Geophysical Journal International, vol.171, issue.2, pp.695-717, 2007. ,
DOI : 10.1111/j.1365-246X.2007.03427.x
URL : https://hal.archives-ouvertes.fr/hal-01254231
Spectral Statistics of Acoustic Resonances in Aluminum Blocks, Physical Review Letters, vol.75, issue.8, pp.1546-1549, 1995. ,
DOI : 10.1103/PhysRevLett.75.1546
Nodal DG-FEM solution of high-order Boussinesq-type equations, Journal of Engineering Mathematics, vol.342, issue.1, pp.351-370, 2006. ,
DOI : 10.1007/s10665-006-9064-z
4B-3 Time Reversal Focusing of Short Pulses, 2007 IEEE Ultrasonics Symposium Proceedings, pp.220-223, 2007. ,
DOI : 10.1109/ULTSYM.2007.66
Self focusing in inhomogeneous media with time reversal acoustic mirrors, Proceedings., IEEE Ultrasonics Symposium, pp.681-686, 1989. ,
DOI : 10.1109/ULTSYM.1989.67072
Time reversal of ultrasonic fields. I. Basic principles, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.39, issue.5 ,
DOI : 10.1109/58.156174
Time reversal in acoustics, Contemporary Physics, vol.4, issue.2, pp.95-109, 1996. ,
DOI : 10.1103/PhysRevLett.72.637
Time-reversed acoustics, Reports on Progress in Physics, vol.63, issue.12, pp.1933-1995, 2000. ,
DOI : 10.1088/0034-4885/63/12/202
Time-reversed acoustics in random media and in chaotic cavities, Nonlinearity, vol.15, issue.1, pp.1-18, 2002. ,
DOI : 10.1088/0951-7715/15/1/201
An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices, IEEE Transactions on Antennas and Propagation, vol.44, issue.12, pp.1630-1639, 1996. ,
DOI : 10.1109/8.546249
Perfeclty matched layer absorbing boundary conditions in Computational Electrodynamics: The Finite-Difference Time-Domain Method, pp.273-328, 2005. ,
Finite-amplitude elastic waves amplitude in solids and deviations from the Hook's law, Sov. Phys. JETP, vol.16, pp.1122-1126, 1963. ,
Staggered Time Integrators for Wave Equations, SIAM Journal on Numerical Analysis, vol.38, issue.3, pp.718-741, 2000. ,
DOI : 10.1137/S0036142999351777
Efficiency of time-reversed acoustics for nonlinear damage detection in solids, The Journal of the Acoustical Society of America, vol.120, issue.5, pp.2506-2517, 2006. ,
DOI : 10.1121/1.2345955
A LISA Model of the Nonlinear and Hysteretic Response of Interstitial Regions to Applied Stresses, Universality of non classical nonlinearity, pp.251-267, 2007. ,
DOI : 10.1007/978-0-387-35851-2_16
A two-dimensional pseudospectral model for time reversal and nonlinear elastic wave spectroscopy, The Journal of the Acoustical Society of America, vol.122, issue.6, pp.3220-3229, 2007. ,
DOI : 10.1121/1.2799900
URL : https://hal.archives-ouvertes.fr/hal-00255801
7D-2 3D PSTD Simulations of NEWS-TR and TR-NEWS Methods: Application to Nonclassical Nonlinearity Ultrasonic Imaging, 2007 IEEE Ultrasonics Symposium Proceedings, pp.585-588, 2007. ,
DOI : 10.1109/ULTSYM.2007.152
Non-linear based time reversal acoustic applied to crack detection: Simulations and experiments, International Journal of Non-Linear Mechanics, vol.43, issue.3, pp.170-177, 2008. ,
DOI : 10.1016/j.ijnonlinmec.2007.12.008
Nonlinear photothermal and photoacoustic processes for crack detection, The European Physical Journal Special Topics, vol.153, issue.1, pp.313-315, 2008. ,
DOI : 10.1140/epjst/e2008-00453-1
A level set discontinuous Galerkin method for free surface flows, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.25-28, pp.3406-3429, 2006. ,
DOI : 10.1016/j.cma.2005.06.020
Hysteresis, Discrete Memory, and Nonlinear Wave Propagation in Rock: A New Paradigm, Physical Review Letters, vol.74, issue.17, pp.3491-3494, 1995. ,
DOI : 10.1103/PhysRevLett.74.3491
URL : https://hal.archives-ouvertes.fr/hal-00301808
Nonlinear Mesoscopic Elasticity: Evidence for a New Class of Materials, Physics Today, vol.52, issue.4, pp.30-36, 1999. ,
DOI : 10.1063/1.882648
Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation, The Journal of the Acoustical Society of America, vol.100, issue.5, pp.3061-3069, 1996. ,
DOI : 10.1121/1.417118
22. A Theoretical Paradigm for Describing Hysteresis and Nonlinear Elasticity in Arbitrary Anisotropic Rocks, Proceedings of the 9th Int. Workshop on Seismic Anisotropy, 2000. ,
DOI : 10.1190/1.9781560801771.ch22
From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex, SIAM Journal on Numerical Analysis, vol.35, issue.2, pp.655-676, 1998. ,
DOI : 10.1137/S003614299630587X
Nodal High-Order Methods on Unstructured Grids, Journal of Computational Physics, vol.181, issue.1, pp.186-221, 2002. ,
DOI : 10.1006/jcph.2002.7118
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1816, pp.493-524, 2004. ,
DOI : 10.1098/rsta.2003.1332
Spectral methods for time-dependent problems, 2006. ,
DOI : 10.1017/CBO9780511618352
Nodal Discontinuous Galerkin Methods, Algorithmes, Analysis, and Applications, 2007. ,
The Nearly Perfectly Matched Layer is a Perfectly Matched Layer, IEEE Trans. Antennas Propagat Lett, vol.13, pp.137-140, 2004. ,
Application of the nearly perfectly matched layer in acoustic wave modeling, GEOPHYSICS, vol.72, issue.5, p.169, 2007. ,
DOI : 10.1190/1.2738553
The Finite Element Method: Linear static and Dynamic Finite Element Analysis, 2000. ,
Self???focusing Rayleigh wave using a time reversal mirror, Applied Physics Letters, vol.68, issue.2, pp.161-163, 1996. ,
DOI : 10.1063/1.116134
Time-reversed Lamb waves, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.45, issue.4, pp.1032-1043, 1998. ,
DOI : 10.1109/58.710586
Approximation of radiation boundary conditions, Journal of Computational Physics, vol.41, issue.1, pp.115-135, 1981. ,
DOI : 10.1016/0021-9991(81)90082-6
Resonance and elastic nonlinear phenomena in rock, Journal of Geophysical Research: Solid Earth, vol.307, issue.B5, pp.11553-11564, 1996. ,
DOI : 10.1029/96JB00647
Spectral/hp Element Methods for CFD, Numerical Mathematics and Scientific Computation, 1999. ,
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms, Geophysical Journal International, vol.166, issue.2, pp.855-877, 2006. ,
DOI : 10.1111/j.1365-246X.2006.03051.x
An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - III. Viscoelastic attenuation, Geophysical Journal International, vol.168, issue.1, pp.224-242, 2007. ,
DOI : 10.1111/j.1365-246X.2006.03193.x
Simulation of anisotropic wave propagation based upon a spectral element method, GEOPHYSICS, vol.65, issue.4, pp.1251-1260, 2000. ,
DOI : 10.1190/1.1444816
URL : https://hal.archives-ouvertes.fr/hal-00669054
A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation, Geophysical Journal International, vol.154, issue.1, pp.146-153, 2003. ,
DOI : 10.1046/j.1365-246X.2003.01950.x
URL : https://hal.archives-ouvertes.fr/hal-00669060
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation, GEOPHYSICS, vol.72, issue.5, pp.155-167, 2007. ,
DOI : 10.1190/1.2757586
URL : https://hal.archives-ouvertes.fr/inria-00528418
Classical wave experiments on chaotic scattering, Journal of Physics A: Mathematical and General, vol.38, issue.49, pp.10433-10463, 2005. ,
DOI : 10.1088/0305-4470/38/49/001
Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers, IEEE Microwave and Guided Wave Letters, vol.6, issue.12, pp.447-449, 1996. ,
DOI : 10.1109/75.544545
Theory of elasticity, 1986. ,
On the optimal design of the PML absorbing boundary condition for the FDTD code, IEEE Transactions on Antennas and Propagation, vol.45, issue.5, pp.914-916, 1997. ,
DOI : 10.1109/8.575651
Experimental Analysis for Nonlinear Time Reversal Imaging of Damaged Materials, Proceedings of the Ninth European Conference on Non-Destructive Testing, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00138610
On a Finite Element Method for solving the Neutron Tansport Equation, Mathematical Aspects of Finite Elements in Partial Differential Equations, pp.89-145, 1974. ,
Fourth-order finite-difference P-SV seismograms, pp.1425-1436, 1988. ,
Finite Volume Methods for Hyperbolic Problems, 2002. ,
DOI : 10.1017/CBO9780511791253
Convolution-Perfectly Matched Layer (C- PML) absorbing boundary condition for wave propagation in piezoelectric solid Proceeding of, IEEE Ultrasonic Symp, pp.1568-1571, 2008. ,
Convolution-Perfectly Matched Layer for elastic second-order wave equation, J. Acoust. Soc. Am ,
URL : https://hal.archives-ouvertes.fr/hal-00367048
The perfectly matched layer for acoustic waves in absorptive media, The Journal of the Acoustical Society of America, vol.102, issue.4, pp.2072-2082, 1997. ,
DOI : 10.1121/1.419657
PML and PSTD algorithm for arbitrary lossy anisotropic media, IEEE Microwave Guided Wave Lett, vol.9, pp.48-50, 1999. ,
A variational formulation of a stabilized unsplit Convolutional Perfectly Matched Layer for the isotropic or anisotropic wave equation, CMES, vol.37, issue.3, pp.274-304, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00528432
Interaction of microcracks with selected interfaces: Focused ion beam for a systematic crack initiation, Materials Science and Engineering: A, vol.435, issue.436, pp.435-436, 2006. ,
DOI : 10.1016/j.msea.2006.07.042
8E-4 Perfectly Matched Layer Finite Element Simulation of Parasitic Acoustic Wave Radiation in Microacoustic Devices, 2007 IEEE Ultrasonics Symposium Proceedings, pp.702-706, 2007. ,
DOI : 10.1109/ULTSYM.2007.181
Theoretical study of nonlinear elastic wave propagation, Journal of Geophysical Research: Solid Earth, vol.83, issue.B2, pp.2591-2600, 1994. ,
DOI : 10.1029/93JB02974
A new theoretical paradigm to describe hysteresis, discrete memory and nonlinear elastic wave propagation in rock, Nonlinear Proc. Geophys. 3, pp.89-101, 1996. ,
DOI : 10.5194/npg-3-89-1996
URL : https://hal.archives-ouvertes.fr/hal-00301808
Wave chaos in the stadium: Statistical properties of short-wave solutions of the Helmholtz equation, Physical Review A, vol.37, issue.8, pp.3067-3086, 1988. ,
DOI : 10.1103/PhysRevA.37.3067
A Nonconvolutional, Split-Filed, Perfectly Matched Layer for Wave Propagation in Isotropic and Anisotropic Elastic Media: Stability Analysis ,
Use of modulated excitation signals in medical ultrasound. Part I: basic concepts and expected benefits, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.52, issue.2, pp.177-191, 2005. ,
DOI : 10.1109/TUFFC.2005.1406545
Generation of very high pressure pulses with 1-bit time reversal in a solid waveguide, The Journal of the Acoustical Society of America, vol.110, issue.6, pp.2849-2857, 2001. ,
DOI : 10.1121/1.1413753
Time reversal kaleidoscope: A smart transducer for three-dimensional ultrasonic imaging, Applied Physics Letters, vol.84, issue.19, pp.3879-3881, 2004. ,
DOI : 10.1063/1.1738186
Revisiting iterative time reversal processing: Application to detection of multiple targets, The Journal of the Acoustical Society of America, vol.115, issue.2, pp.776-784, 2004. ,
DOI : 10.1121/1.1636463
Frequency up-conversion and frequency down-conversion of acoustic waves in damaged materials, Physics Letters A, vol.301, issue.3-4, pp.281-290, 2002. ,
DOI : 10.1016/S0375-9601(02)00974-X
Stress pattern analysis by thermal emission, European Electro-Optics Conference Proceedings. Bellingham, Wash., Society of Photo-Optical Instrumentation En-gineers, pp.189-196, 1979. ,
Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations, IEEE Transactions on Electromagnetic Compatibility, vol.23, issue.4, pp.377-382, 1981. ,
DOI : 10.1109/TEMC.1981.303970
Nonlinear acoustics of micro-inhomogeneous media, Physics of the Earth and Planetary Interiors, vol.50, issue.1, pp.65-73, 1988. ,
DOI : 10.1016/0031-9201(88)90094-5
Harmonic generation in the propagation of elastic waves in nonlinear solid media, Sov. Phys. Acoust, vol.35, pp.410-413, 1989. ,
Experimental investigations of nonlinear acoustic phenomena in polycrystalline zinc, The Journal of the Acoustical Society of America, vol.107, issue.4, pp.1915-1921, 2000. ,
DOI : 10.1121/1.428473
Wave Processes in Media with Hysteretic Nonlinearity, Part I, Acoust Phys, vol.49, issue.3, pp.405-415, 2003. ,
Wave Processes in Media with Hysteretic Nonlinearity, Part II, Acoust Phys, vol.49, issue.4, pp.529-534, 2003. ,
Elastic wave propagation in anisotropic crustal material possessing arbitrary internal tilt, Geophysical Journal International, vol.153, issue.2, pp.344-358, 2003. ,
DOI : 10.1046/j.1365-246X.2003.01896.x
Preisach modeling of hysteresis for a pseudoelastic Cu???Zn???Al single crystal, Journal of Applied Physics, vol.71, issue.3, pp.1454-1461, 1992. ,
DOI : 10.1063/1.351238
Nonlinear properties of an elastic medium with cylindrical pores, Sov. Phys. Acoust, vol.35, issue.3, pp.286-289, 1986. ,
Wave processes in media with strong acoustic nonlinearity, The Journal of the Acoustical Society of America, vol.90, issue.6, pp.3332-3337, 1991. ,
DOI : 10.1121/1.401444
Causes and reduction of numerical artefacts in pseudo-spectral wavefield extrapolation, Geophysical Journal International, vol.126, issue.3, pp.819-828, 1996. ,
DOI : 10.1111/j.1365-246X.1996.tb04705.x
An optimal absorbing boundary condition for elastic wave modeling, pp.296-301, 1995. ,
Separation of interfering acoustic scattered signals using the invariants of the time-reversal operator. Application to Lamb waves characterization, The Journal of the Acoustical Society of America, vol.104, issue.2, pp.801-807, 1998. ,
DOI : 10.1121/1.423354
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
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
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - IV. Anisotropy, Geophysical Journal International, vol.169, issue.3, pp.1210-1228, 2007. ,
DOI : 10.1111/j.1365-246X.2007.03381.x
Real-time focusing using an ultrasonic one channel time-reversal mirror coupled to a solid cavity, The Journal of the Acoustical Society of America, vol.115, issue.5, pp.1955-1960, 2004. ,
DOI : 10.1121/1.1699396
2D pseudo-array using an ultrasonic one channel timereversal mirror, Proc. Of the 2004 IEEE Ultrason. Symp, pp.801-804, 2004. ,
Etude du rayonnement acoustique de structures solides : vers un système d'imagerie haute resolution, Thèse de Doctorat de l, 2004. ,
Triangular mesh method for the neutron transport equation, Los Alamos Scientific Laboratory Report, p.479, 1973. ,
Harmonic generation at an unbonded interface???I. Planar interface between semi-infinite elastic media, International Journal of Engineering Science, vol.17, issue.1, pp.73-85, 1979. ,
DOI : 10.1016/0020-7225(79)90008-9
Viscoelastic finite???difference modeling, GEOPHYSICS, vol.59, issue.9, pp.1444-1456, 1994. ,
DOI : 10.1190/1.1443701
A numerical free???surface condition for elastic/viscoelastic finite???difference modeling in the presence of topography, GEOPHYSICS, vol.61, issue.6, pp.1921-1934, 1996. ,
DOI : 10.1190/1.1444107
Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media, Microwave and Optical Technology Letters, vol.40, issue.5, pp.334-339, 2000. ,
DOI : 10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A
Development and application of ultrasonic dry-contact and air-contact C-scan systems for non-destructive evaluation of aerospace components, Material Evaluation, vol.50, pp.1491-1497, 1991. ,
Time-reversal in an ultrasonic waveguide, Applied Physics Letters, vol.70, issue.14, pp.1811-1813, 1997. ,
DOI : 10.1063/1.118730
Time reversal in a waveguide: Study of the temporal and spatial focusing, The Journal of the Acoustical Society of America, vol.107, issue.5 ,
DOI : 10.1121/1.428628
Predicting transport by Lagrangian coherent structures with a high-order method, Theoretical and Computational Fluid Dynamics, vol.28, issue.1, pp.39-58, 2007. ,
DOI : 10.1007/s00162-006-0031-0
Full-field imaging of nonclassical acoustic nonlinearity, Applied Physics Letters, vol.91, issue.26, p.264102, 2007. ,
DOI : 10.1063/1.2828111
Local interaction simulation approach to modelling nonclassical, nonlinear elastic behavior in solids, The Journal of the Acoustical Society of America, vol.113, issue.6, pp.3049-3059, 2003. ,
DOI : 10.1121/1.1570440
Numerical analysis of the anomalous elastic behaviour of hysteretic media: Quasistatic, dynamic and relaxation experiments, Universality of non classical nonlinearity, pp.269-285, 2007. ,
A scaling method to enhance detection of a nonlinear elastic response, Applied Physics Letters, vol.92, issue.10, p.101912, 2008. ,
DOI : 10.1063/1.2890031
Nonlinear acoustic time reversal imaging using the scaling subtraction method, Journal of Physics D: Applied Physics, vol.41, issue.21, p.215404, 2008. ,
DOI : 10.1088/0022-3727/41/21/215404
Implementation of transparent sources embedded in acoustic finite-difference time-domain grids, The Journal of the Acoustical Society of America, vol.103, issue.1, pp.136-142, 1998. ,
DOI : 10.1121/1.421084
SIMULATIONS OF THE LEFT-HANDED MEDIUM USING DISCONTINUOUS GALERKIN METHOD BASED ON THE HYBRID DOMAINS, Progress In Electromagnetics Research, vol.63, pp.171-191, 2006. ,
DOI : 10.2528/PIER06050803
Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, vol.77, issue.2, pp.439-471, 1988. ,
DOI : 10.1016/0021-9991(88)90177-5
Pulse inversion Doppler: a new method for detecting nonlinear echoes from microbubble contrast agents, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.46, issue.2, pp.372-382, 1999. ,
DOI : 10.1109/58.753026
Guided elastic waves and perfectly matched layers, Wave Motion, vol.44, issue.7-8, pp.573-592, 2007. ,
DOI : 10.1016/j.wavemoti.2007.03.001
Absorbing boundary conditions and surface waves, GEOPHYSICS, vol.52, issue.1, pp.60-71, 1987. ,
DOI : 10.1190/1.1442241
Damage Detection in Composite Plates by Using an Enhanced Time Reversal Method, Journal of Aerospace Engineering, vol.20, issue.3, pp.141-151, 2007. ,
DOI : 10.1061/(ASCE)0893-1321(2007)20:3(141)
Non-linear SAW reflection: experimental evidence and NDE applications, Ultrasonics, vol.31, issue.2, pp.91-96, 1993. ,
Nonlinear self-modulation and subharmonic acoustic spectroscopyfor damage detection and location, Applied Physics Letters, vol.84, issue.26, pp.5386-5388, 2004. ,
DOI : 10.1063/1.1767283
Nonlinear air-coupled emission: The signature to reveal and image microdamage in solid materials, Applied Physics Letters, vol.91, issue.25, p.251910, 2007. ,
DOI : 10.1063/1.2827193
Development of nonlinear time reversed acoustics (NLTRA) for applications to crack detection in solids, Proceedings of the Fifth World Congress on Ultrasonics, pp.121-124, 2003. ,
Single-channel time reversal in elastic solids, The Journal of the Acoustical Society of America, vol.116, issue.5, pp.2779-2784, 2004. ,
DOI : 10.1121/1.1802676
Computational Electrodynamics: The Finite-Difference Time-Domain Method, Arthch House, 2005. ,
Time reversal and the inverse filter, The Journal of the Acoustical Society of America, vol.108, issue.1, pp.223-234, 2000. ,
DOI : 10.1121/1.429459
URL : https://hal.archives-ouvertes.fr/hal-00113152
Optimal focusing by spatio-temporal inverse filter. I. Basic principles, The Journal of the Acoustical Society of America, vol.110, issue.1, pp.37-47, 2001. ,
DOI : 10.1121/1.1377051
An Algorithm for Computing Fekete Points in the Triangle, SIAM Journal on Numerical Analysis, vol.38, issue.5, pp.1707-1720, 2000. ,
DOI : 10.1137/S0036142998337247
A general approach to extend Berenger's absorbing boundary condition to anisotropic and dispersive media, IEEE Transactions on Antennas and Propagation, vol.46, issue.9, pp.1386-1387, 1998. ,
DOI : 10.1109/8.719984
General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media, IEEE Microwave and Guided Wave Letters, vol.8, issue.6, pp.223-225, 1998. ,
DOI : 10.1109/75.678571
Imaging nonlinear scatters applying the time reversal mirror, J ,
Interaction Dynamics of Elastic Waves with a Complex Nonlinear Scatterer through the Use of a Time Reversal Mirror, Physical Review Letters, vol.98, issue.10, p.104301, 2007. ,
DOI : 10.1103/PhysRevLett.98.104301
Two-dimensional modeling of wave propagation in materials with hysteretic nonlinearity, The Journal of the Acoustical Society of America, vol.122, issue.1, pp.58-72, 2007. ,
DOI : 10.1121/1.2739803
Elastic pulsed wave propagation in media with second or higher order nonlinearily ,
Theoretical Framework, J. Acoust. Soc. Am, vol.99, issue.6, pp.3334-3345, 1996. ,
Elastic pulsed wave propagation in media with second or higher order nonlinearily ,
Simulation of experimental measurements on Berea sandstone, J. Acoust. Soc. Am, vol.99, issue.6, pp.3346-3352, 1996. ,
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Nonlinear Wave Modulation Spectroscopy (NWMS), Research in Nondestructive Evaluation, vol.43, issue.1, pp.17-30, 2000. ,
DOI : 10.1029/98GL51231
Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part II: Single-Mode Nonlinear Resonance Acoustic Spectroscopy, Research in Nondestructive Evaluation, vol.77, issue.1, pp.31-42, 2000. ,
DOI : 10.1121/1.418198
Inferring the degradation of pultruded composites from dynamic nonlinear resonance measurements, Polymer Composites, vol.101, issue.1, pp.555-567, 2001. ,
DOI : 10.1002/pc.10559
Resonant bar simulations in media with localized damage, Ultrasonics, vol.42, issue.1-9, pp.1017-1024, 2004. ,
DOI : 10.1016/j.ultras.2003.12.021
Multiscale Approach and Simulations of Wave Propagation and Resonance in Media with Localized Microdamage: 1-D and 2-D Cases, Ed. P.P. Delsanto, pp.177-201, 2007. ,
DOI : 10.1007/978-0-387-35851-2_12
Experimental investigation of the pulse inversion technique for imaging ultrasound contrast agents, The Journal of the Acoustical Society of America, vol.107, issue.4, pp.2281-2290, 2000. ,
DOI : 10.1121/1.428508
An introduction to computational fluid dynamics: the finite volume method. Pearson Education, 2007. ,
Contact phase modulation method for acoustic nonlinear parameter measurement in solid, Ultrasonics, vol.42, issue.1-9, pp.1061-1065, 2004. ,
DOI : 10.1016/j.ultras.2003.12.024
A Godunov-type finite-volume scheme for unified solid-liquid elastodynamics on arbitrary two-dimensional grids, Shock Waves, vol.13, issue.3, pp.221-230, 2003. ,
DOI : 10.1007/s00193-003-0211-4
Computerized time-reversal method for structural health monitoring, Nondestructive Evaluation and Health Monitoring of Aerospace Materials and Composites II, 2003. ,
DOI : 10.1117/12.484668
Modeling of wave propagation in layered piezoelectric media by a recursive asymptotic method, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.51, issue.9, pp.1060-1071, 2004. ,
DOI : 10.1109/TUFFC.2004.1334839
The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids, Multiscale Modeling & Simulation, vol.7, issue.1, pp.294-320, 2008. ,
DOI : 10.1137/070701212
On diffuse waves in solid media, The Journal of the Acoustical Society of America, vol.71, issue.6, pp.1608-1609, 1982. ,
DOI : 10.1121/1.387816
Weak Anderson localization and enhanced backscatter in reverberation rooms and quantum dots, The Journal of the Acoustical Society of America, vol.96, issue.5, pp.3186-3190, 1994. ,
DOI : 10.1121/1.411376
Omni-directional guided wave transducer arrays for the rapid inspection of large areas of plate structures, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.50, issue.6, pp.699-709, 2003. ,
DOI : 10.1109/TUFFC.2003.1209557
Time reversal of ultrasonic fields. Il. Experimental results, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.39, issue.5, pp.567-578, 1992. ,
DOI : 10.1109/58.156175
Three-dimensional unstructured-grid discontinuous Galerkin method for Maxwell's equations with well-posed perfectly matched layer, Microwave and Optical Technology Letters, vol.10, issue.5, pp.459-463, 2005. ,
DOI : 10.1002/mop.21016
Model for nonlinear wave propagation derived from rock hysteresis measurements, Journal of Geophysical Research: Solid Earth, vol.227, issue.212, pp.29915-29929, 1998. ,
DOI : 10.1029/98JB02838
Two-dimensional linear and nonlinear wave propagation in a half-space, Bull. Seism. Soc. Am, vol.89, issue.4, pp.903-917, 1999. ,
Hysteresis and two-dimensional nonlinear wave propagation in Berea Sandstone, Journal of Geophysical Research: Solid Earth, vol.83, issue.3, pp.6163-6175, 2000. ,
DOI : 10.1029/1999JB900363
Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas Propag, issue.14, pp.302-307, 1966. ,
Formulation and Validation of Bergenger's PML Absorbing Boundary for the FDTD Simulation of Acoustic Scattering ,
Observation of the " Luxemburg-Gorky " effect for elastic waves, Ultrasonics, vol.40, pp.627-631, 2002. ,
Luxemburg-Gorky effect retooled for elastic waves: A mechanism and experimental evidence, Phys. Rev. Lett, vol.89, issue.10, p.105502, 2002. ,
SOME PROBLEMS IN THE PROPAGATION OF ULTRASONIC WAVES OF FINITE AMPLITUDE IN LIQUIDS, Soviet Physics Uspekhi, vol.2, issue.4, pp.580-599, 1959. ,
DOI : 10.1070/PU1959v002n04ABEH003149
Krasil'nikov. Introduction to Nonlinear Acoustic, Nauka, 1966. ,
MULTIDOMAIN PSEUDOSPECTRAL TIME-DOMAIN (PSTD) METHOD FOR ACOUSTIC WAVES IN LOSSY MEDIA, Journal of Computational Acoustics, vol.12, issue.03, pp.277-299, 2004. ,
DOI : 10.1142/S0218396X04002286
Anisotropic Perfectly Matched Layers for elastic waves in cartesian and curvilinear coordinates, Earth Resources Laboratory 2002 Industry Consortium Meeting., Dept. Earth, Atmospheric, and Planetary sciences, 2002. ,
Non-linear seismic wave propagation in anisotropic media using the flux-corrected transport technique, Geophysical Journal International, vol.165, issue.3, pp.943-956, 2006. ,
DOI : 10.1111/j.1365-246X.2006.02966.x
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, International Journal of Solids and Structures, vol.44, issue.11-12, pp.3666-3684, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.10.010
Damage localization using transient non-linear elastic wave spectroscopy on composite structures, International Journal of Non-Linear Mechanics, vol.43, issue.3, pp.217-230, 2008. ,
DOI : 10.1016/j.ijnonlinmec.2007.12.012
Ultrasound excited thermography using frequency modulated elastic waves, Insight, vol.45, issue.3, pp.178-182, 2003. ,
An optimized Convolution-Perfectly Matched Layer (C-PML) Absorbing Boundary Condition for the Second-Order Elastic Wave Equation- Application to Surface and Lamb Waves Propagation, PUBLICATION LIST International Conference with proceedings Proceeding of the 1 st European COMSOL conferenceCD-ROM), 2007. ,
Convolution-Perfectly Matched Layer (C- PML) absorbing boundary condition for wave propagation in piezoelectric solid Proceeding of, IEEE Ultrasonic Symp, pp.1568-1571, 2008. ,
An optimized Convolution-Perfectly Matched Layer (C-PML) absorbing boundary condition for the second-order elastic wave equation, International Conference without proceedings International Congress on Ultrasonics ? World Congress on Ultrasonics, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00367048
Pseudo-spectral simulation of 1D nonlinear propagation in heterogeneous elastic media, International Congress on Ultrasonics ? World Congress on Ultrasonics, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00367049
Localized nonlinearity time reversal imaging with chaotic cavities Acoustic's08, Juill, pp.29-33, 2008. ,
Application of chaotic cavities to localized nonlinearity imaging with time reversal: A numerical and experimental study, pp.18-25, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00361494
Application of chaotic cavities to localized nonlinearity imaging with time reversal, IEEE UFFC Symp, pp.2-5, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00811717
Optimization of chaotic cavities transducers to time reversal nonlinear elastic wave spectroscopy Convolution-Perfectly Matched Layer for elastic second-order wave equation, International Congress on Ultrasonics Janvier J. Acoust. Soc. Am, pp.11-17, 2009. ,
On the use of a chaotic cavity transducer in nonlinear elastic imaging, Applied Physics Letters, vol.95, issue.14 ,
DOI : 10.1063/1.3245306
URL : https://hal.archives-ouvertes.fr/hal-00469658