J. Benamou, F. Collino, and O. Runborg, Numerical microlocal analysis of harmonic wavefields, Journal of Computational Physics, vol.199, issue.2, pp.717-741, 2004.
DOI : 10.1016/j.jcp.2004.03.014

G. Beylkin, Discrete radon transform, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.35, issue.2, pp.162-172, 1987.
DOI : 10.1109/TASSP.1987.1165108

D. Bouche, F. Molinet, and R. Mittra, Asymptotic methods in electromagnetics, Translated from the 1994 French original by Patricia and Daniel Gogny and revised by the authors, 1997.
DOI : 10.1007/978-3-642-60517-8

Q. Carayol and F. Collino, Error estimates in the Fast Multipole Method for scattering problems Part 2: Truncation of the Gegenbauer series, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.1, pp.183-221, 2005.
DOI : 10.1051/m2an:2005008

Q. Carayol and F. Collino, Error estimates in the fast multipole method for scattering problems Part 1: Truncation of the Jacobi-Anger series, Cerven´yCerven´y. Seismic ray theory, pp.371-394, 2001.
DOI : 10.1051/m2an:2004017

T. M. Cherry, Uniform asymptotic formulae for functions with transition points, Transactions of the American Mathematical Society, vol.68, issue.2, pp.224-257, 1950.
DOI : 10.1090/S0002-9947-1950-0034494-3

F. Collino, Conditions aux limites absorbantes d'ordré elevé pour les modèles de propagation d'onde. probì eme des domaines rectangulaires, 1992.

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 1992.
DOI : 10.1007/978-1-4614-4942-3

Y. Landa, N. M. Tanushev, and R. Tsai, Discovery if point sources in the hemlhotz equation posed in unknown domains with obstacle, 2010.

G. N. Watson, A treatise on the theory of Bessel functions References [1] Partial differential equations Asymptotic methods for partial differential equations, A translation of ?t Current problems in mathematics, of Encyclopaedia of Mathematical Sciences Akad. Nauk SSSR, pp.1988-1066954, 1966.

T. Abboud, J. Nédélec, and B. Zhou, Méthode deséquationsdeséquations intégrales pour les hautes fréquences, C. R. Acad. Sci. Paris Sér. I Math, vol.318, issue.2, pp.165-170, 1994.

H. B. Sun, C. , and J. Ma, 3d post-stack one-way migration using curvelets, Journal of Seismic Exploration, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00679234

M. Balabane and V. Tirel, D??composition de domaine pour un calcul hybride de l'??quation de helmholtz, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.324, issue.3, pp.281-286, 1997.
DOI : 10.1016/S0764-4442(99)80361-9

J. Benamou, An introduction to Eulerian geometrical optics, SIAM J. Sci. Comp, 1992.
URL : https://hal.archives-ouvertes.fr/inria-00071957

J. Benamou, F. Collino, and S. Marmorat, Second order stable numerical microlocal analysis of harmonic plane wave and source point wavefields. submitted, 2011.

J. Benamou, F. Collino, and O. Runborg, Numerical microlocal analysis of harmonic wavefields, Journal of Computational Physics, vol.199, issue.2, pp.717-741, 2004.
DOI : 10.1016/j.jcp.2004.03.014

G. Beylkin, Discrete radon transform, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.35, issue.2, pp.162-172, 1987.
DOI : 10.1109/TASSP.1987.1165108

L. Borcea, G. Papanicolaou, and C. Tsogka, 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

B. Borden and M. Cheney, Microlocal ISAR for Low Signal-to-Noise Environments, 2006 IEEE Conference on Radar, 2006.
DOI : 10.1109/RADAR.2006.1631900

B. Borden, Radar scattering centre localization by subspace fitting, Inverse Problems, vol.17, issue.5, pp.1483-1491, 2001.
DOI : 10.1088/0266-5611/17/5/316

Q. Carayol and F. Collino, Error estimates in the Fast Multipole Method for scattering problems Part 2: Truncation of the Gegenbauer series, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.1, pp.183-221, 2005.
DOI : 10.1051/m2an:2005008

Q. Carayol and F. Collino, Error estimates in the fast multipole method for scattering problems Part 1: Truncation of the Jacobi-Anger series, ESAIM: Mathematical Modelling and Numerical Analysis, vol.38, issue.2, pp.371-394, 2004.
DOI : 10.1051/m2an:2004017

S. N. Chandler-wilde, S. Langdon, and L. Ritter, A high-wavenumber boundary-element method for an acoustic scattering problem, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1816, pp.362647-671, 1816.
DOI : 10.1098/rsta.2003.1339

D. Cassereau, C. Prada, E. Kerbrat, and M. Fink, Time reversal techniques in ultrasonic nondestructive testing of scattering media, Inverse Problems, vol.18, 2002.

F. Collino, Conditions aux limites absorbantes d'ordré elevé pour les modèles de propagation d'onde.probì eme des domaines rectangulaires, 1992.

F. Collino and B. Lavaud, Peut-on obtenir des amplitudes correctes avec les quations paraxiales ?, 1996.

F. Collino and S. Marmorat, Analyse microlocale dans le domaine temporel, 2010.

D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 1992.
DOI : 10.1007/978-1-4614-4942-3

A. De-la-bourdonnaye and M. Tolentino, Numerical Simulation of Scattering Problems with Fourier-Integral Operators, Mathematical Models and Methods in Applied Sciences, vol.07, issue.05, pp.613-631, 1997.
DOI : 10.1142/S0218202597000323

B. Engquist and O. Runborg, Computational high frequency wave propagation, Acta Numerica, vol.12, 2003.
DOI : 10.1017/cbo9780511550157.003

. Hugonnet, High resolution radon: a review, Proceedings of the EAGE 63 rd Conference and Technical Exhibition, 2001.

E. Giladi and J. B. Keller, A Hybrid Numerical Asymptotic Method for Scattering Problems, Journal of Computational Physics, vol.174, issue.1, pp.226-247, 2001.
DOI : 10.1006/jcph.2001.6903

Y. Landa, N. M. Tanushev, and R. Tsai, Discovery if point sources in the hemlhotz equation posed in unknown domains with obstacle, 2010.

S. Langdon, M. Mokgolele, and S. N. Chandler-wilde, High frequency scattering by convex curvilinear polygons, Journal of Computational and Applied Mathematics, vol.234, issue.6, pp.2020-2026, 2010.
DOI : 10.1016/j.cam.2009.08.053

L. N. Medgyesi-mitschang and D. Wang, Hybrid methods for analysis of complex scatterers, Proceedings of the IEEE, vol.77, issue.5, pp.770-779, 1989.
DOI : 10.1109/5.32067

B. Porat and B. Friedlander, Analysis of the asymptotic relative efficiency of the MUSIC algorithm, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.36, issue.4, pp.532-544, 1988.
DOI : 10.1109/29.1557

M. Nicolay, B. Tanushev, R. Engquist, and . Tsai, Gaussian beam decomposition of high frequency wave fields, J. Comput. Phys, vol.228, issue.23, pp.8856-8871, 2009.

W. Hodgkiss, W. Kuperman, and H. Song, Phase conjugation in the ocean: Experimental demonstration of an acoustic time-reversal mirror, Journal of the Acoustical Society of America, vol.103, 1998.

G. N. Watson, A Treatise on the Theory of Bessel Functions, The Mathematical Gazette, vol.18, issue.231, 1966.
DOI : 10.2307/3605513