Perfectly Matched Absorbing Layers for the Paraxial Equations

Journal of Computational Physics

Volumn 131, Issue 1, 1997, Pages 164-180

  Collino, Francis ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

WAVE EQUATIONS;

ABSORBING BOUNDARIES; ABSORBING LAYERS; NUMERICAL RESULTS; PARAXIAL; PARAXIAL WAVE EQUATION; PERFECTLY MATCHED;

NUMERICAL METHODS;

EID: 0000167493     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.5594     Document Type: Article

References (15)

1. Halpern L., Bamberger A., Engquist B., Joly P. Higher order paraxial approximations for the wave equation. Siam J. Appl. Math. 48:1988;129.
2. Basbakov V. A., Popov A. V. Implementation of transparent boundaries for numerical solution of the Schrödinger equation. Wave Motion. 14:1991;123.
3. Bécache E., Collino F., Joly P. Higher order numerical schemes for paraxial approximations of the wave equation. Theoretical and Computational Acoustics '95. 1996;World Scientific. p. 11-.
4. Bérenger J. P. A perfectly matched layer for the absorption of electromanetic waves. J. Comput. Phys. 114:1994;185.
5. Claerbout J. F. Imaging the Earth's Interior. 1983;Blackwell Sci. Oxford.
6. F. Collino, 1993, Numerical method for 2-d migration, Annual Report, PSI Consortium, IFP, Rueil-Malmaison, France.
7. Dautrey R., Lions J. L. Analyse mathématique et calcul numérique pour les sciences et les techniques. 1988;Masson, Paris.
8. B. Di Menza, June 1995, Approximations numériques d'équations de Schrodinger non liméaires et de modèles associés, Université de Bordeaux 1.
9. Dubrulle A. A. On numerical method for migration in layered media. Geophys. Prospecting. 56:1983;237.
10. Eidus D. M. The principle of limiting absorption. Am. Math. Soc. Transl. 47:1965;157.
11. C. Lemaréchal, 1983, module m2qn1: document modulopt, I.N.R.I.A. Domaine de de Voluceau Rocquencourt, B.P. 105, 78153, Le Chesnay Cedex, France.
12. Marcus S. A generalized impedance method for application of the parabolic approximation to underwater acoustics. J. Acoust. Soc. Am. 90:1991;391.
13. Israeli M., Orszag S. A. Approximation of radiation boundary conditions. J. Comput. Phys. 41:1981;115.
14. Rappaport C. M. Perfectly matched absorbing conditions based on anisotropic lossy mapping of space. IEEE Microwave Guided Wave Lett. 5:1995;90.
15. Vasallo C., Collino F. Highly efficient absorbing boundary conditions for the beam propagation method. IEEE J. Lightwave Technol. 14:1996;1570.