Variational principle approach to short-pulse laser-plasma interactions in three dimensions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 2, 2000, Pages 1925-1939

  Duda, Brian J ^a   Mori, W B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAM PLASMA INTERACTIONS; EULER EQUATIONS; INTEGRAL EQUATIONS; LASER PRODUCED PLASMAS; LASER PULSES; METHOD OF MOMENTS; MODULATION; VARIATIONAL TECHNIQUES;

APPROXIMATE EQUATION; DEPENDENT VARIABLES; EULER-LAGRANGE EQUATIONS; FUNCTION PARAMETERS; MODULATIONAL INSTABILITY; NONLINEAR ENVELOPE EQUATIONS; RADII OF CURVATURE; VARIATIONAL PRINCIPLES;

NONLINEAR EQUATIONS;

EID: 0000969756     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.1925     Document Type: Article

References (42)

1. T. Tajima and J. M. Dawson, Phys. Rev. Lett. 43, 267 (1979)
2. E. Esarey , IEEE Trans. Plasma Sci. 24, 252 (1996), and references therein.
3. Special issue of IEEE Trans. Plasma Sci. PS-21(1) (1993), edited by W. B. Mori.
4. M. Tabek , Phys. Plasmas 1, 1626 (1994).
5. W. B. Mori, IEEE J. Quantum Electron. 33, 1942 (1997) and references therein.
6. W. B. Mori , Phys. Rev. Lett. 72, 1482 (1994)
7. C. D. Decker , Phys. Plasmas 3, 414 (1996)
8. C. D. Decker , Phys. Rev. E 50, R3338 (1994).
9. A. S. Sakharov and V. I. Kirsanov, Phys. Rev. E 49, 3274 (1994).
10. E. Esarey , Phys. Rev. Lett. 72, 2887 (1994).
11. P. Sprangle , Phys. Rev. Lett. 69, 2200 (1992).
12. T. M. Antonsen, Jr. and P. Mora, Phys. Rev. Lett. 69, 2204 (1992)
13. P. Mora and T. Anotonsen, Jr., Phys. Fluids B 5, 1440 (1993).
14. N. E. Andreev , Pis’ma Zh. Eksp. Teor. Fiz. 55, 551 (1992) [ JETP LETT. 55, 571 (1992)].
15. P. Sprangle , Phys. Rev. Lett. 73, 3544 (1994).
16. G. Shvets and J. S. Wurtele, Phys. Rev. Lett. 73, 3540 (1994).
17. D. Anderson and M. Bonnedal, Phys. Fluids 22, 105 (1979).
18. J. F. Lam , Opt. Commun. 15, 419 (1975)
19. J. F. Lam , Phys. Fluids 20, 1176 (1977).
20. P. Sprangle , Phys. Rev. A 36, 2773 (1987)
21. E. Esarey , IEEE J. Quantum Electron. 33, 1879 (1997).
22. X. L. Chen and R. N. Sudan, Phys. Fluids B 5, 1336 (1993)
23. X. L. Chen and R. N. Sudan, Phys. Rev. Lett. 70, 2082 (1993).
24. K.-C. Tzeng and W. B. Mori (unpublished).
25. B. J. Duda, R. G. Hemker, K. C. Tzeng, and W. B. Mori, Phys. Rev. Lett. 83, 1978 (1999).
26. C. J. McKinstrie and R. Bingham, Phys. Fluids B 4, 2626 (1992)
27. C. E. Max , Phys. Rev. Lett. 33, 209 (1974).
28. J. Killingbeck and G. H. A. Cole, Mathematical Techniques and Physical Applications (Academic, New York, 1971).
29. J. Schwinger , Classical Electrodynamics (Perseus Books, Reading, Mass, 1998).
30. C. A. Coverdale , Phys. Rev. Lett. 74, 4659 (1995).
31. A. Modena , Nature (London) 337, 606 (1995)
32. D. Gordon , Phys. Rev. Lett. 80, 2133 (1997).
33. K. Nakajima , Phys. Rev. Lett. 74, 4428 (1995).
34. D. Umstadter , Science 273, 472 (1996).
35. C. I. Moore , Phys. Rev. Lett. 79, 3909 (1997).
36. D. Whittum , Phys. Rev. Lett. 67, 991 (1991)
37. M. Lampe , Phys. Fluids B 5, 1888 (1993).
38. R. L. Seliger and G. B. Whitham, Proc. R. Soc. London, Ser. A 305, 1 (1968).
39. R. W. Atherton and G. M. Homsy, Stud. Appl. Math. 54, 31 (1975).
40. M. M. Vainberg, Variational Methods for the Study of Nonlinear Operators (Holden-Day, San Francisco, 1964).
41. A. J. Brizard, Phys. Plasmas 5, 1110 (1998).
42. W. B. Mori , Bull. Am. Phys. Soc. 44, 179 (1999).