R. Adler, The Geometry of Random Fields, 1981.
DOI : 10.1137/1.9780898718980

D. G. Alfaro-vigo, J. Fouque, J. Garnier, and A. Nachbin, Robustness of time reversal for waves in time-dependent random media, Stochastic Process, Appl, vol.111, pp.289-313, 2004.

P. W. Anderson, Absence of Diffusion in Certain Random Lattices, Physical Review, vol.109, issue.5, pp.1492-1505, 1958.
DOI : 10.1103/PhysRev.109.1492

M. Asch, W. Kolher, G. Papanicolaou, M. Postel, and B. White, Frequency Content of Randomly Scattered Signals, SIAM Review, vol.33, issue.4, pp.519-625, 1991.
DOI : 10.1137/1033136

S. Asmussen, Applied probability and queues, 2003.

F. Bailly, J. Clouet, and J. Fouque, Parabolic and white noise approximation for waves in random media, SIAM J. Appl. Math, pp.56-1445, 1996.

G. Bal, A. Fannjiang, G. Papanicolaou, and L. Ryzhik, Radiative transport in a periodic structure, Journal of Statistical Physics, vol.95, issue.1/2, pp.479-494, 1999.
DOI : 10.1023/A:1004598015978

G. Bal, G. Papanicolaou, and L. Ryzhik, Radiative transport limit for random Schrödinger equation, Nonlinearity, pp.15-513, 2002.

G. Bal, G. Papanicolaou, and L. Ryzhik, SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION, Stochastics and Dynamics, vol.02, issue.04, pp.507-531, 2002.
DOI : 10.1142/S0219493702000522

G. Bal and L. Ryzhik, Stability of time reversed waves in changing media, Disc. Cont. Dyn. Syst. A, vol.12, pp.793-815, 2005.

G. Bal and R. Verastegui, Time Reversal in Changing Environments, Multiscale Modeling & Simulation, vol.2, issue.4, pp.639-661, 2004.
DOI : 10.1137/030600837

A. Bamberger, B. Engquist, L. Halpern, and P. Joly, Parabolic wave equation approximations in heterogeneous media, SIAM J. Appl. Math, pp.48-99, 1988.
URL : https://hal.archives-ouvertes.fr/inria-00075997

P. Billingsley, Convergence of probability measure, 1999.
DOI : 10.1002/9780470316962

P. Blomgren, G. Papanicolaou, and H. Zhao, Super-resolution in time-reversal acoustics, The Journal of the Acoustical Society of America, vol.111, issue.1, pp.230-248, 2002.
DOI : 10.1121/1.1421342

R. Carmona and J. Fouque, Diffusion-approximation for the advection-diffusion of a passive scalar by a space-time gaussian velocity field, Seminar on Stochastic Analysis, Random Fields and Applications

J. Clouet and J. Fouque, Spreading of a Pulse Travelling in Random Media, The Annals of Applied Probability, vol.4, issue.4, pp.1083-1097, 1994.
DOI : 10.1214/aoap/1177004904

J. Clouet and J. Fouque, A time-reversal method for an acoustical pulse propagating in randomly layered media, Wave Motion, vol.25, issue.4, pp.361-368, 1997.
DOI : 10.1016/S0165-2125(97)00002-4

A. Derode, P. Roux, and M. Fink, 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

M. D. Donsker and S. R. Varadhan, Asymptotic evaluation of certain markov process expectations for large time. IV, Communications on Pure and Applied Mathematics, vol.58, issue.2, pp.1-47, 1975.
DOI : 10.1002/cpa.3160360204

M. Fink, Time-reversed acoustic, Scientific American, pp.281-91, 1999.

M. Fink, D. Casserau, A. Derode, C. Prada, P. Roux et al., Time-reversed acoustics, Reports on Progress in Physics, vol.63, issue.12, pp.1933-1995, 2000.
DOI : 10.1088/0034-4885/63/12/202

J. Fouque, La convergence en loi pour les processus à valeur dans un espace nucléaire, Ann. Inst. Henri Poincaré, vol.20, pp.225-245, 1984.

J. Fouque, J. Garnier, A. Nachbin, and K. Sølna, Time-reversal refocusing for point source in randomly layered media, Wave Motion, vol.42, issue.3, pp.42-238, 2005.
DOI : 10.1016/j.wavemoti.2005.03.001

URL : https://hal.archives-ouvertes.fr/hal-00018190

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. Fouque, J. Garnier, and K. Sølna, Time reversal super resolution in randomly layered media, Wave Motion, vol.43, issue.8, pp.646-666, 2006.
DOI : 10.1016/j.wavemoti.2006.06.002

URL : https://hal.archives-ouvertes.fr/hal-00129019

A. Friedman, Partial differential equations of parabolic type, 1964.

J. Garnier, Multi-scaled diffusion-approximation. Applications to wave propagation in random media., ESAIM: Probability and Statistics, vol.1, pp.183-206, 1997.
DOI : 10.1051/ps:1997107

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.2115

J. Garnier, The role of evanescent modes in randomly perturbed single-mode waveguides , Discrete and Continuous Dynamical Systems-Series B, pp.455-472, 2007.

J. Garnier and G. Papanicolaou, Pulse Propagation and Time Reversal in Random Waveguides, SIAM Journal on Applied Mathematics, vol.67, issue.6, pp.1718-1739, 2007.
DOI : 10.1137/060659235

URL : https://hal.archives-ouvertes.fr/hal-00205026

J. Garnier and K. Sølna, Effective Transport Equations and Enhanced Backscattering in Random Waveguides, SIAM Journal on Applied Mathematics, vol.68, issue.6, pp.1574-1599, 2008.
DOI : 10.1137/070694909

URL : https://hal.archives-ouvertes.fr/hal-00292048

I. J. Goldsheid, S. A. Molchanov, and L. A. Pastur, A random one-dimensional Schroedinger operator has pure point spectrum, Functional Anal, Appl, vol.11, pp.1-10, 1977.

C. Gomez, Time-Reversal Superresolution in Random Waveguides, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1348-1386, 2009.
DOI : 10.1137/080719492

URL : https://hal.archives-ouvertes.fr/hal-00402052

G. Kallianpur and J. Xiong, Stochastic differential equations in infinite dimensional spaces, IMS Lecture notes-monograph series, 1995.

R. Z. Khasminskii, A limit theorem for solutions of differential equations with random right hand side, Theory Probab, Appl, vol.11, pp.390-406, 1966.

V. I. Klyatskin, Stochastic equations and waves in randomly inhomogeneous media, 1980.

W. Kohler, Power reflexion at the input of a randomly perturbed rectangular waveguide, SIAM J. Appl. Math, pp.32-521, 1977.

W. Kohler and G. Papanicolaou, Wave propagation in a randomly inhomogeneous ocean, Wave Propagation and Underwater acoustics, 1977.
DOI : 10.1007/3-540-08527-0_4

W. A. Kuperman, W. S. Hodgkiss, H. C. Song, T. Hakal, C. Ferla et al., Phase conjugation in the ocean: Experimental demonstration of an acoustic time-reversal mirror, The Journal of the Acoustical Society of America, vol.103, issue.1, pp.25-40, 1998.
DOI : 10.1121/1.423233

H. Kushner, Approximation and weak convergence methods for random processes, 1984.

G. Lerosey, J. De-rosny, A. Tourin, and M. Fink, Focusing beyound the diffraction limit with far-field time reversal, Science, pp.315-1120, 2007.

R. Magnanini and F. Santosa, Wave propagation in a 2-D optical waveguide, SIAM J. Appl. Math, pp.61-1237, 2000.

D. Marcuse, Theory of dielectric optical waveguides, 1991.

R. H. Mellen, D. G. Browning, and J. M. Ross, Attenuation in randomly inhomogeneous sound channels, The Journal of the Acoustical Society of America, vol.56, issue.1, pp.80-82, 1974.
DOI : 10.1121/1.1903236

M. Metivier, Stochastic partial differential equations in infinite dimensional spaces, Scuola normale superiore, 1988.

I. Mitoma, On the sample continuity of $J'$ -processes, Journal of the Mathematical Society of Japan, vol.35, issue.4, pp.35-629, 1983.
DOI : 10.2969/jmsj/03540629

G. Papanicolaou and W. Kohler, Asymptotic theory of mixing stochastic ordinary differential equations, Communications on Pure and Applied Mathematics, vol.III, issue.5, pp.641-668, 1974.
DOI : 10.1002/cpa.3160270503

G. Papanicolaou, L. Ryzhik, and K. Sølna, Statistical Stability in Time Reversal, SIAM Journal on Applied Mathematics, vol.64, issue.4, pp.1133-1155, 2004.
DOI : 10.1137/S0036139902411107

G. Papanicolaou and S. Weinryb, A functional limit theorem for waves reflected by a random medium, Applied Mathematics & Optimization, vol.12, issue.3, pp.307-334, 1994.
DOI : 10.1007/BF01183015

C. I. Pekeris, Theory of propagation of explosive sound in shallow water, propagation of sound in the ocean, America, pp.1-117

E. Perrey-debain and I. D. , Abrahams, A diffusion analysis approach to TE mode propagation in randomly perturbed optical waveguides, SIAM J. Appl. Math, pp.68-523, 2007.

P. Roux and M. Fink, Time???reversal in a waveguide, The Journal of the Acoustical Society of America, vol.110, issue.5, pp.2418-2429, 2000.
DOI : 10.1121/1.4776902

URL : https://hal.archives-ouvertes.fr/insu-00270312

H. E. Rowe, Electromagnetic propagation in multi-mode random media, 1999.
DOI : 10.1002/0471200700

H. Schaefer, Topological vector spaces, 1971.

P. Sheng, Scattering and localization of classical waves in random media, World Scientific, vol.8, 1989.
DOI : 10.1142/0565

C. Song, W. A. Kuperman, and W. S. Hodgkiss, Iterative time reversal in the ocean, The Journal of the Acoustical Society of America, vol.105, issue.6, pp.3176-3184, 1999.
DOI : 10.1121/1.424648

C. M. Soucoulis, E. N. Economou, G. S. Grest, and M. H. Cohen, Existence of Anderson Localization of Classical Waves in a Random Two-Component Medium, Physical Review Letters, vol.62, issue.5, pp.575-578, 1989.
DOI : 10.1103/PhysRevLett.62.575

B. White, P. Sheng, Z. Zhang, and G. Papanicolaou, Wave localization characteristics in the time domain, Physical Review Letters, vol.59, issue.17, pp.1918-1921, 1987.
DOI : 10.1103/PhysRevLett.59.1918

C. Wilcox, Spectral analysis of the Pekeris operator in the theory of acoustic wave propagation in shallow water, Archive for Rational Mechanics and Analysis, vol.10, issue.3, pp.259-300, 1975.
DOI : 10.1007/BF01789259

C. Wilcox, Transient electromagnetic wave propagation in a dielectric waveguide, Symposia MathematicaConvegno sulla Teoria Matematica dell'Elettromagnetismo, INDAM, pp.239-277, 1974.

M. Yor, Existence et unicité de diffusion à valeurs dans un espace de Hilbert, Ann. Inst. Henri Poincaré, vol.10, pp.55-88, 1974.