Optique géométrique non linéaire et équations de Maxwell-Bloch

Jean-Luc Joly[1]; Guy Métivier[2]; Jeffrey Rauch[3]

  • [1] MAB, Université de Bordeaux I, 33405 Talence, FRANCE
  • [2] IRMAR, Université de Rennes I, 35042 Rennes, FRANCE
  • [3] Department of Mathematics, University of Michigan, Ann Arbor 48109 MI, USA

Séminaire Équations aux dérivées partielles (1998-1999)

  • Volume: 1998-1999, page 1-20

How to cite

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Joly, Jean-Luc, Métivier, Guy, and Rauch, Jeffrey. "Optique géométrique non linéaire et équations de Maxwell-Bloch." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-20. <http://eudml.org/doc/10961>.

@article{Joly1998-1999,
affiliation = {MAB, Université de Bordeaux I, 33405 Talence, FRANCE; IRMAR, Université de Rennes I, 35042 Rennes, FRANCE; Department of Mathematics, University of Michigan, Ann Arbor 48109 MI, USA},
author = {Joly, Jean-Luc, Métivier, Guy, Rauch, Jeffrey},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-20},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Optique géométrique non linéaire et équations de Maxwell-Bloch},
url = {http://eudml.org/doc/10961},
volume = {1998-1999},
year = {1998-1999},
}

TY - JOUR
AU - Joly, Jean-Luc
AU - Métivier, Guy
AU - Rauch, Jeffrey
TI - Optique géométrique non linéaire et équations de Maxwell-Bloch
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 20
LA - fre
UR - http://eudml.org/doc/10961
ER -

References

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  1. N.Bloembergen, Nonlinear Optics, W.A. Benjamin Inc., New York, 1965. MR193880
  2. M.Born and E.Wolf, Principles of Optics, Pergamon Press, 1959. Zbl0086.41704MR108202
  3. R.Boyd, Nonlinear Optics, Academic Press, 1992. 
  4. P.Donnat, Quelques contributions mathématiques en optique non linéaire, Thèse, École Polytechnique, 1994. 
  5. P.Donnat, J.L.Joly, G.Métivier and J.Rauch, Diffractive Nonlinear Optics, Séminaire E.D.P., École Polytechnique 1995-96. 
  6. P.Donnat and J. Rauch, Dispersive Nonlinear Geometric Optics, J.Math.Physics, 38 (1997) pp 1484-1523. Zbl0881.35078MR1435679
  7. J.L.Joly, G.Métivier and J.Rauch, Several Recent Results in Nonlinear Geometric Optics, in Partial Differential Equations and Mathematical Physics. The Danish-Swedish Analysis Seminar 1995, L.Hörmander and A.Melin Ed. Birkhauser, 1996.. Zbl0854.35115MR1380991
  8. J.L.Joly, G.Métivier and J.Rauch, Recent Results in Nonlinear Geometric Optics, Proceedings 7-th International Conference on Hyperbolic Problems, Zürich, 1998. Zbl0938.35034
  9. J.L.Joly, G.Métivier and J.Rauch, Transparent Nonlinear Geometric Optics and Maxwell-Bloch Equations, en préparation. Zbl1170.78311
  10. J.L.Joly, G.Métivier and J.Rauch, Diffractive nonlinear geometric optics with rectification, Indiana J. Math., to appear. Zbl0928.35093MR1687154
  11. J.L.Joly, G.Métivier and J.Rauch, Coherent and focusing multidimensional nonlinear geometric optics, Annales de L’École Normale Supérieure de Paris, 28 (1995), pp 51-113. Zbl0836.35087
  12. J.L.Joly, G.Métivier and J.Rauch, Coherent nonlinear waves and the Wiener algebra, Ann. Inst. Fourier, 44, 1994, pp 167-196. Zbl0791.35019MR1262884
  13. J.L.Joly, G.Métivier and J.Rauch, Generic rigorous asymptotic expansions for weakly nonlinear geometric optics, Duke. Math. J., 70, 1993, pp 373-404. Zbl0815.35066MR1219817
  14. J.L.Joly and J.Rauch, Justification of multidimensional single phase semilinear geometric optics, Trans. Amer. Math. Soc. 330 (1992), 599-625. Zbl0771.35010MR1073774
  15. D.Lannes, Dispersive effects for nonlinear geometrical optics with rectification, Asymptotic Anal., 18 (1998), ppp 111-146.. Zbl0931.35091MR1657485
  16. P.Lax, Asymptotic solutions of oscillatory initial value problems, Duke Math. Journal, 24 (1957) pp 627-645. Zbl0083.31801MR97628
  17. A. Newell and J. Moloney Nonlinear Optics, Addison-Wesley, Reading Mass., 1992. MR1163192
  18. R.Pantell and H.Puthoff, Fundamentals of Quantum Electronics, J.Wiley & Sons Inc., New York, et Électronique quantitique en vue des applications, Dunod, 1973. 

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