P. Van-der-berg, A. T. De-hoop, and F. Remis, Analytic time-domain performance analysis of absorbing boundary conditions and perfectly matched layers, Proc. IEEE Antennas and Propagation Society International Symposium, pp.502-505, 2001.

S. Bécache, P. Fauqueux, and . Joly, 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

J. Bérenger, Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves, Journal of Computational Physics, vol.127, issue.2, pp.363-379, 1996.
DOI : 10.1006/jcph.1996.0181

L. Cagniard, Reflexion et refraction des ondes sismiques progressives, 1939.

A. T. De-hoop, A modification of cagniard???s method for solving seismic pulse problems, Applied Scientific Research, Section B, vol.34, issue.1, pp.349-356, 1959.
DOI : 10.1007/BF02920068

J. Diaz and P. Joly, An Analysis of Higher Order Boundary Conditions for the Wave Equation, SIAM Journal on Applied Mathematics, vol.65, issue.5, pp.1547-1575, 2005.
DOI : 10.1137/S0036139903436145
URL : https://hal.archives-ouvertes.fr/inria-00071617

J. Diaz and P. Joly, A time domain analysis of PML models in acoustics, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29-32, pp.29-323820, 2006.
DOI : 10.1016/j.cma.2005.02.031
URL : https://hal.archives-ouvertes.fr/inria-00410313