Equations describing strong laser field in interaction with matter within a plasma in the hydrodynamic limit

Physics of Plasmas

Volumn 5, Issue 5 PART 1, 1998, Pages 1423-1445

  Lehner, Thierry ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040882682     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872801     Document Type: Article

References (47)

1. P. Maine, D. Strickland, P. Bado, M. Pessot, and G. Mourou, IEEE J. Quantum Electron. QE24, 398 (1988).
2. M. D. Perry and G. Mourou, Science 264, 917 (1994).
3. A. B. Borisov, A. V. Borovskii, V. V. Korobkin, A. M. Prokhorov, O. B. Shiryaev, X. M. Shi, T. S. Luk, A. McPherson, J. C. Solem, K. Boyer, and C. K. Rhodes, Phys. Rev. Lett. 68, 2309 (1992).
4. G. Z. Sun, E. Ott, Y. C. Lee, and P. Guzdar, Phys. Fluids 30, 526 (1987).
5. P. Sprangle, E. Esarey, and A. Ting, Phys. Rev. Lett. 64, 2011 (1990); P. Sprangle, E. Esarey, J. Krall, and A. Ting, ibid. 69, 2200 (1992).
6. P. Sprangle, E. Esarey, and A. Ting, Phys. Rev. Lett. 64, 2011 (1990); P. Sprangle, E. Esarey, J. Krall, and A. Ting, ibid. 69, 2200 (1992).
7. D. Umstadter and X. Liu, in OSA Proceedings on Shortwavelength Physics with Intense Laser Pulses, edited M. D. Perry and P. B. Corkum (Optical Society of America, Washington, DC, 1993), Vol. 17, p. 45.
8. C. H. Bruneau, L. Di Menza, and T. Lehner, "Numerical resolution of nonlinear Schrodinger like equations in plasmas," submitted to Phys. Plasmas; T. Lehner, "Formation of stable light bullets in air: Competition between Kerr nonlinearity versus multiphoton ionization dynamics," submitted to Phys. Lett.; T. Lehner and N. Auby, "Stabilization of Kerr effect by self induced ionization Formation of optical light bullets," submitted to Phys. Plasmas.
9. C. H. Bruneau, L. Di Menza, and T. Lehner, "Numerical resolution of nonlinear Schrodinger like equations in plasmas," submitted to Phys. Plasmas; T. Lehner, "Formation of stable light bullets in air: Competition between Kerr nonlinearity versus multiphoton ionization dynamics," submitted to Phys. Lett.; T. Lehner and N. Auby, "Stabilization of Kerr effect by self induced ionization Formation of optical light bullets," submitted to Phys. Plasmas.
10. C. H. Bruneau, L. Di Menza, and T. Lehner, "Numerical resolution of nonlinear Schrodinger like equations in plasmas," submitted to Phys. Plasmas; T. Lehner, "Formation of stable light bullets in air: Competition between Kerr nonlinearity versus multiphoton ionization dynamics," submitted to Phys. Lett.; T. Lehner and N. Auby, "Stabilization of Kerr effect by self induced ionization Formation of optical light bullets," submitted to Phys. Plasmas.
11. T. Lehner and L. di Menza, "Ponderomotive effects in self magnetized relativistic cold plasmas: Application to relativistic magnetic guiding of light," submitted to Phys. Scr.
12. T. Lehner, Phys. Scr. 49, 704 (1994).
13. J. Stamper, Laser Part. Beams 9, 841 (1991).
14. A. D. Steiger and C. H. Woods, Phys. Rev. A 45, 1467 (1972).
15. (a) V. Yu Bychenkov and V. T. Tikhonchuk, Laser Part. Beams 14, 55 (1996);
16. (b) T. Lehner, ibid. 15, 471 (1997).
17. A. V. Borovskii and A. L. Galkin, JETP Lett. 77, 562 (1993).
18. W. Horton and G. Schmidt, Comments Plasma Phys. Control. Fusion 9, 85 (1985).
19. A. B. Borisov, A. V. Borovskiy, O. B. Shiryaev, V. V. Korobkin, A. M. Prokhorov, J. Solem, T. S. Luk, K. Boyer, and C. K. Rhodes, Phys. Rev. A 45, 5830 (1992).
20. A. B. Borisov, O. B. Shiryaev, A. McPherson, K. Boyer, and C. K. Rhodes, Plasma Phys. Controlled Fusion 37, 569 (1995).
21. A. de Bouard, N. Hayashi, and J. C. Saut, C. R. Acad. Sci., Ser. I Math. 321, 175 (1995).
22. H. S. Brandi, C. Manus, G. Mainfray, G. Bonnaud, and T. Lehner, Phys. Fluids B 5, 3539 (1993).
23. G. Bonnaud, H. S. Brandi, C. Manus, G. Mainfray, and T. Lehner, Phys. Plasmas 1, 968 (1994).
24. 20(a) P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, and J. L. Miquel, Phys. Rev. Lett. 74, 2953 (1995);
25. (b) A. Chiron, G. Bonnaud, A. Dulieu, G. Malka, J. L. Miquel, M. Louis-Jacquet, and G. Mainfray, Phys. Plasmas 3, 1373 (1996).
26. P. Mora and T. Antonsen, Jr., Phys. Rev. Lett. 69, 2204 (1992).
27. E. Esarey, P. Sprangle, J. Krall, and A. Ting, IEEE Trans. Plasma Sci. (1994).
28. A. Modena et al., Nature 377, 606 (1995).
29. S. C. Wilks, Phys. Fluids B 5, 2603 (1993).
30. S. A. Belkov and V. N. Tsytovitch, Sov. Phys. JETP 49, 656 (1979).
31. X. Q. Li and Y. H. Ma, Phys. Plasmas 1, 3009 (1994).
32. G. A. Askar'yan, S. V. Bulanov, F. Pegoraro, and A. M. Pukhov, JETP Lett. 60, 252 (1994); A. M. Pukhov, F. Pegoraro, and D. Meyer Ter Vehn, Phys. Rev. Lett. 76, 3975 (1996).
33. G. A. Askar'yan, S. V. Bulanov, F. Pegoraro, and A. M. Pukhov, JETP Lett. 60, 252 (1994); A. M. Pukhov, F. Pegoraro, and D. Meyer Ter Vehn, Phys. Rev. Lett. 76, 3975 (1996).
34. A. N. Kaufman, Phys. Lett. A (1980).
35. T. Hatori and H. Washimi, Phys. Rev. Lett. 46, 240 (1981).
36. W. M. Manheimer, Phys. Fluids 28, 1569 (1985).
37. A. Archtenberg, J. Plasma Phys. 35, 257 (1986).
38. Z. Shu and W. Shen, J. Opt. Soc. Am. 4, 739 (1987).
39. T. Lehner, "Towards a covariant definition of the relativistic ponderomotive force," submitted to Phys. Rev. E.
40. L. Ginzburg, "Issues in intense field quantum electrodynamics," Proceedings of the Lebedev Institute of USSR, edited by V. L. Name (Nova Science, New York, 1987).
41. G. A. Maugin, J. Math. Phys. 19, 1198 (1988).
42. J. M. Alimi, Ph.D. dissertation, University of Paris XI, Orsay, 1988.
43. T. Lehner, Ph.D. dissertation, University of Paris VI, Paris, 1987.
44. On the Kelvin theorem, quoted on p. 294 of Hydrodynamique Physique, edited by E. Guyon, J. P. Hulin, and L. Petit (CNRS/Intereditions, Paris, 1994).
45. L. M. Gorbunov (private communication, 1995).
46. J. M. Rax and N. Fish, Phys. Fluids B 4, 1323 (1992).
47. G. Schmidt and T. Wilcox, Phys. Rev. Lett. 31, 1380 (1973).