Transparent nonlinear geometric optics and Maxwell-Bloch equations

Journal of Differential Equations

Volumn 166, Issue 1, 2000, Pages 175-250

  Joly, Jean Luc ^a   Metivier, Guy ^b   Rauch, Jeffrey ^c  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITÉ DE RENNES 1   (France)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034259179     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3794     Document Type: Article

References (18)

1. [B1] N. Bloembergen, "Nonlinear Optics," Benjamin, New York, 1965.
2. [BW] M. Born and E. Wolf, "Principles of Optics," Pergamon Press, New York, 1959.
3. [Bo] R. Boyd, "Nonlinear Optics," Academic Press, San Diego, 1992.
4. [Do] P. Donnat, "Quelques Contributions Mathématiques en Optique Non Linéaire," Thèse, École Polytechnique, 1994.
5. [DJMR] P. Donnat, J. L. Joly, G. Métivier, and J. Rauch, "Diffractive Nonlinear Optics," Séminaire E.D.P., École Polytechnique 1995-96.
6. [DR] P. Donnat and J. Rauch, Dispersive Nonlinear Geometric Optics, J. Math. Physics 38 (1997), 1484-1523.
7. [JMR 1] J. L. Joly, G. Métivier, and J. Rauch, "Several Recent Results in Nonlinear Geometric Optics," Birkhäuser, Basel.
8. [JMR 2] J. L. Joly, G. Métivier, and J. Rauch, Recent results in nonlinear geometric optics, in "Hyperbolic Problems: Theory, Numerics, Applications" (M. Fey and R. Jeltsch, Eds.), Birkhäuser, Basel, 1999.
9. [JMR 3] J. L. Joly, G. Métivier, and J. Rauch, Coherent and focusing multidimensional nonlinear geometric optics, Ann. L'École Norm. Sup. Paris 28 (1995), 51-113.
10. [JMR 4] J. L. Joly, G. Métivier, and J. Rauch, Coherent nonlinear waves and the Wiener algebra, Ann. Inst. Fourier 44 (1994), 167-196.
11. [JMR 5 ] J. L. Joly, G. Métivier and J. Rauch, Generic rigorous asymptotic expansions for weakly nonlinear geometric optics, Duke Math. J. 70 (1993), 373-404.
12. [JMR 6] J. L. Joly, G. Métivier, and J. Rauch, Diffractive nonlinear geometric optics with rectification, Indiana J. Math. 47 (1998), 1167-1241.
13. [JR] J. L. Joly and J. Rauch, Justification of multidimensional single phase semilinear geometric optics, Trans. Amer. Math. Soc. 330 (1992), 599-625.
14. [Lan] D. Lannes, Dispersive effects for nonlinear geometrical optics with rectification, Asymptotic Anal. 18 (1998), 111-146.
15. [Lax] P. Lax, Asymptotic solutions of oscillatory initial value problems, Duke Math. J. 24 (1957), 627-645.
16. [NM] A. Newell and J. Moloney, "Nonlinear Optics," Addison-Wesley, Reading, MA, 1992.
17. [PP] R. Pantell and H. Puthoff, "Fundamentals of Quantum Electronics," Wiley, New York; "Electronique quantitique en vue des applications," Dunod, Paris, 1973.
18. [PP] R. Pantell and H. Puthoff, "Fundamentals of Quantum Electronics," Wiley, New York; "Electronique quantitique en vue des applications," Dunod, Paris, 1973.