H. Ammari, E. Bretin, J. Garnier, and A. Wahab, Noise Source Localization in an Attenuating Medium, SIAM Journal on Applied Mathematics, vol.72, issue.1
DOI : 10.1137/11083191X
URL : https://hal.archives-ouvertes.fr/hal-00708160

H. Ammari, E. Bretin, J. Garnier, and A. Wahab, Time reversal in attenuating acoustic media, Contemporary Mathematics, vol.548, pp.151-163, 2011.
DOI : 10.1090/conm/548/10841
URL : https://hal.archives-ouvertes.fr/hal-00660346

H. Ammari, E. Bretin, V. Jugnon, and A. Wahab, Photoacoustic Imaging for Attenuating Acoustic Media, Mathematical Modeling in Biomedical Imaging II, pp.53-80, 2011.
DOI : 10.1007/978-3-642-22990-9_3

H. Ammari, E. Bossy, V. Jugnon, and H. Kang, Mathematical modelling in photoacoustic imaging of small absorbers, SIAM Review, pp.52-677, 2010.

H. Ammari, Y. Capdeboscq, H. Kang, and A. Kozhemyak, Mathematical models and reconstruction methods in magneto-acoustic imaging, European Journal of Applied Mathematics, vol.99, issue.03, pp.303-317, 2009.
DOI : 10.1109/42.14523
URL : https://hal.archives-ouvertes.fr/hal-00288529

H. Ammari, P. Garapon, L. G. Bustos, and H. Kang, Transient anomaly imaging by the acoustic radiation force, Journal of Differential Equations, vol.249, issue.7, pp.1579-1595, 2010.
DOI : 10.1016/j.jde.2010.07.012

H. Ammari, P. Garapon, H. Kang, and H. Lee, A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements, Quarterly of Applied Mathematics, vol.66, issue.1, pp.139-175, 2008.
DOI : 10.1090/S0033-569X-07-01089-8

H. Ammari, L. Guadarrama-bustos, H. Kang, and H. Lee, Transient elasticity imaging and time reversal, Proceedings of the Royal Society of Edinburgh: Section A Mathematics
DOI : 10.1017/S030821051000020X

H. Ammari and H. Kang, Polarization and Moment Tensors: with Applications to Inverse Problems and Effective Medium Theory, Applied Mathematical Sciences Series, vol.162, 2007.

J. Bercoff, M. Tanter, M. Muller, and M. Fink, The role of viscosity in the impulse diffraction field of elastic waves induced by the acoustic radiation force, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol.51, issue.11, pp.51-1523, 2004.
DOI : 10.1109/TUFFC.2004.1367494

L. Borcea, G. Papanicolaou, C. Tsogka, and J. G. Berrymann, Imaging and time reversal in random media, Inverse Problems, vol.18, issue.5, pp.1247-1279, 2002.
DOI : 10.1088/0266-5611/18/5/303

E. Bretin, L. G. Bustos, and A. Wahab, On the Green function in visco-elastic media obeying a frequency power-law, Mathematical Methods in the Applied Sciences, vol.53, issue.10, pp.819-830, 2011.
DOI : 10.1002/mma.1404

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, 1987.
DOI : 10.1007/978-3-642-84108-8

S. Catheline, N. Benech, J. Brum, and C. Negreira, Time Reversal of Elastic Waves in Soft Solids, Physical Review Letters, vol.100, issue.6, p.64301, 2008.
DOI : 10.1103/PhysRevLett.100.064301

J. De-rosny, G. Lerosey, A. Tourin, and M. Fink, Time Reversal of Electromagnetic Waves, In Lecture Notes in Comput. Sci. Eng, vol.59, 2007.
DOI : 10.1007/978-3-540-73778-0_7

M. Fink, Time Reversed Acoustics, Physics Today, vol.50, issue.3, p.34, 1997.
DOI : 10.1063/1.881692

M. Fink and C. Prada, Acoustic time-reversal mirrors, Inverse Problems, vol.17, issue.1, pp.1-38, 2001.
DOI : 10.1088/0266-5611/17/1/201

J. Fouque, J. Garnier, G. Papanicolaou, and K. Sølna, Wave Propagation and Time Reversal in Randomly Layered Media, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00172124

J. F. Greenleaf, M. Fatemi, and M. Insana, Selected Methods for Imaging Elastic Properties of Biological Tissues, Annual Review of Biomedical Engineering, vol.5, issue.1, pp.57-78, 2003.
DOI : 10.1146/annurev.bioeng.5.040202.121623

F. Hastings, J. B. Schneider, and S. L. Broschat, 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

L. Hörmander, The Analysis of Linear Partial Differential Operators. I. Distribution Theory and Fourier Analysis, Classics in Mathematics, 2003.

R. Kowar and O. Scherzer, Photoacoustic imaging taking into account attenuation, Mathematical Modeling in Biomedical Imaging II Lecture Notes in Mathematics, vol.2035, pp.85-130, 2011.

R. Kowar, O. Scherzer, and X. Bonnefond, Causality analysis of frequency-dependent wave attenuation, Mathematical Methods in the Applied Sciences, vol.88, issue.3, pp.108-124, 2011.
DOI : 10.1002/mma.1344

C. Larmat, J. P. Montagner, M. Fink, Y. Capdeville, A. Tourin et al., Timereversal imaging of seismic sources and application to the great Sumatra earthquake, Geophys. Res. Lett, pp.33-19312, 2006.
URL : https://hal.archives-ouvertes.fr/insu-01390090

G. Lerosey, J. De-rosny, A. Tourin, A. Derode, G. Montaldo et al., Time-reversal of electromagnetic waves and telecommunication, Radio Sci, pp.40-46, 2005.

P. D. Norville and W. R. Scott, Time-reversal focusing of elastic surface waves, The Journal of the Acoustical Society of America, vol.118, issue.2, pp.735-744, 2005.
DOI : 10.1121/1.1945468

K. D. Phung and X. Zhang, Time Reversal Focusing of the Initial State for Kirchhoff Plate, SIAM Journal on Applied Mathematics, vol.68, issue.6, pp.1535-1556, 2008.
DOI : 10.1137/070684823

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

A. P. Sarvazyan, O. V. Rudenko, S. C. Swanson, J. B. Fowlkers, and S. V. Emelianovs, Shear wave elasticity imaging: a new ultrasonic technology of medical diagnostics, Ultrasound in Medicine & Biology, vol.24, issue.9, pp.24-1419, 1998.
DOI : 10.1016/S0301-5629(98)00110-0

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

M. Tanter and M. Fink, Time Reversing Waves For Biomedical Applications, Mathematical Modeling in Biomedical Imaging I, Lecture Notes in Mathematics, vol.1983, pp.73-97, 2009.
DOI : 10.1007/978-3-642-03444-2_2

J. J. Teng, G. Zhang, and S. X. Huang, Some theoretical problems on variational data assimilation, Applied Mathematics and Mechanics, vol.23, issue.1, pp.581-591, 2007.
DOI : 10.1007/s10483-007-0510-2

K. Wapenaar, Retrieving the Elastodynamic Green's Function of an Arbitrary Inhomogeneous Medium by Cross Correlation, Physical Review Letters, vol.93, issue.25, p.254301, 2004.
DOI : 10.1103/PhysRevLett.93.254301

K. Wapenaar and J. Fokkema, Green???s function representations for seismic interferometry, GEOPHYSICS, vol.71, issue.4, pp.71-104, 2006.
DOI : 10.1190/1.2213955

A. Wiegmann, Fast Poisson, fast Helmholtz and fast linear elastostatic solvers on rectangular parallelepipeds, MS 50A-1148, One Cyclotron Rd, 1999.
DOI : 10.2172/982430
URL : http://escholarship.org/uc/item/0hp2f7cn.pdf

Y. Xu and L. V. Wang, Time Reversal and Its Application to Tomography with Diffracting Sources, Physical Review Letters, vol.92, issue.3, p.33902, 2004.
DOI : 10.1103/PhysRevLett.92.033902