General foundation for the nonlinear ponderomotive four-force in laser-plasma interactions

Laser and Particle Beams

Volumn 24, Issue 4, 2006, Pages 475-493

  Rowlands, T P ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Covariant plasmas; Laser plasma interaction; Ponderomotive force; Relativistic magneto hydrodynamics; Relativistic plasmas

Indexed keywords

ELECTROMAGNETIC WAVES; MAGNETIC FIELDS; MAGNETIC PERMEABILITY; MATHEMATICAL MODELS; PLASMA THEORY;

COVARIANT PLASMAS; LASER-PLASMA INTERACTION; PONDEROMOTIVE FORCE; RELATIVISTIC MAGNETO-HYDRODYNAMICS; RELATIVISTIC PLASMAS;

LASER PRODUCED PLASMAS;

EID: 33947423915     PISSN: 02630346     EISSN: 1469803X     Source Type: Journal    
DOI: 10.1017/S0263034606060642     Document Type: Article

References (55)

1. AITCHISON, I.J.R. (1984). An Informal Introduction to Gauge Field Theories. Cambridge, UK: Cambridge University Press.
2. ANILE, A.M. (1990). Relalivislic Fluids and Magneto-Fluids. Cambridge, UK: Cambridge University Press.
3. BADZIAK, J., GLOWACZ, S., JABLONSKI, S., PARYS, P., WOLOWSKI, J. & HORA, H. (2005). Laser-driven generation of high-current ion beams using skin-layer ponderomotive acceleration. Laser Part. Beams 23, 401-409.
4. BAUER, D., MULSER, P. & STEEB, W.H. (1995). Relativistic ponderomotive force, uphill acceleration, and transition to chaos. Phys. Rev. Lett. 75, 4622-4625.
5. BEECH, R. & OSMAN, F. (2005). Radiation reduction of optical solitons resulting from higher order dispersion terms in the nonlinear Schrodinger equation. Laser Part. Beams 23, 483-502.
6. BRET, A., FIRPO, M.C. & DEUTSCH, C. (2006). Between two stream and filamentation instabilities: Temperature and collisions effects. Laser Part. Beams 24, 27-33.
7. BUNEMAN, O. (1968). Fast numerical procedures for computer experiments on relativistic plasmas. In The Coral Gables Conference on Relativistic Plasmas (Buneman, O. & Pardo, W., Eds.). New York: Benjamin
8. CHEN, H. & WILKS, S.C. (2005). Evidence of enhanced effective hot electron temperatures in ultraintense laser-solid interactions due to reflexing. Laser Part. Beams 23, 411-416.
9. COWAN, T.E., PERRY, M.D., KEY, M.H., DITMIRE, T.R., HATCHETT, S.P., HENRY, E.A., MOODY, J.D., MORAN, M.J., PENNINGTON, D.M., PHILLIPS, T.W., SANGSTER, T.C., SEFCIK, J.A., SINGH, M.S., SNAVELY, R.A., STOYER, M.A., WILKS, S.C., YOUNG, P.E., TAKAHASHI, Y., DONG, B., FOUNTAIN, W., PARNELL, T., JOHNSON, J., HUNT, A.W. & KÜHL, T. (1999). High energy electrons, nuclear phenomena and heating in petawatt laser-solid experiments. Laser Part. Beams 17, 773-783.
10. DAVIES, J.R. (2006). The Alfven limit revisited and its relevance to laser plasma interactions. Laser Part. Beams 24, 299-310.
11. DEUTSCH, C., BRET, A. & FROMY, P. (2005). Mitigation of electromagnetic instabilities in fast ignition scenario. Laser Part. Beams 23, 5-8.
12. FRIEDRICHS, K.O. (1974). The laws of relativistic electro-magneticfluid dynamics. Comm. Pure. Appl. Math. 27, 749-808
13. GINZBURG, V. (1970). The Propagation of Electromagnetic Waves in Plasmas. Oxford, UK: Pergamon Press.
14. GLINEC, Y., FAURE, J., PUKHOV, A., KISELEV, S., GORDIENKO, S., MERCIER, B. & MALKA, V. (2005). Generation of quasimonoenergetic electron beams using ultrashort and ultraintense laser pulses. Laser Part. Beams 23, 161-166.
15. GLOWACZ, S., HORA, H., BADZIAK, J., JABLONSKI, S., CANG, Y. & OSMAN, F. (2006). Analytical description of rippling effect and ion acceleration in plasma produced by a short laser pulse. Laser Part. Beams 24, 15-25.
16. GRAD, H. (1971). Magnetic properties of contained plasma. Annals NY Acad. Sci. 172, 635-650.
17. GRAD, H. (1968). Yes Virginia plasma is diamagnetic if you believe in Santa Claus. Bull. Am. Phys. Soc. 13, 319.
18. GRAD, H. (1967). Some new stable toroidal plasma configurations. Phys. Rev. Lett. 18, 585-590.
19. GUS'KOV, S.Y. (2005). Thermonuclear gain and parameters of fast ignition ICF-targets. Laser Part. Beams 23, 255-260.
20. HARTEMANN, F. & TOFFANO, Z. (1990). Relativistic electrodynamics of continuous media. Phys. Rev. A 41, 5066-5073.
21. HOFFMANN, D.H.H., BLAZEVIC, A., NI, P., ROSMEJ, O., ROTH, M., TAHIR, N.A., TAUSCHWITZ, A., UDREA, S., VARENTSOV, D., WEYRICH, K. & MARON, Y. (2005). Present and future perspectives for high energy density physics with intense heavy ion and laser beams. Laser Part. Beams 23, 47-53.
22. HORA, H. (1969). Nonlinear confining and deconfining forces associated with the interaction of laser radiation with plasma. Phys. Fluids 12, 182-191.
23. HORA, H. (1981). The Physics of Laser Driven Plasmas. New York: John Wiley & Sons.
24. HORA, H. (1985). The transient electrodynamic forces at laser-plasma interaction. Phys. Fluids 28, 3705-3706.
25. HORA, H. (2000). Laser Plasma Physics: Forces and the nonlinearity principle. Bellingham: SPIE Press.
26. HORA, H., ELIEZER, S., PEASE, R.S., SCHARMANN, A. & SCHWABE, D. (1990). Laser Interaction and Related Plasma Phenomena (Hora, H. & Miley, G.H., Eds.), vol. 9. New York: Plenum.
27. HORA, H., BADZIAK, J., GLOWACZ, S., JABLONSKI, S., SKLADANOWSKI, Z., OSMAN, F., CANG, YU., ZHANO, J., MILEY, G.H., PENG, H., HE, X., ZHANG, W., ROHLENA, K., ULLSCHMIED, J. & JUNGWIRTH, K. (2005). Fusion energy from plasma block ignition. Laser Part. Beams 23, 423-432.
28. HORA, H. (2005). Difference between relativistic petawatt-picosecond laser-plasma interaction and subrelativistic plasma-block generation. Laser Part. Beams 23, 441-451.
29. JABLONSKI, S., HORA, H., GLOWACZ, S., BADZIAK, J., GANG, Y. & OSMAN, F. (2005). Two-fluid computations of plasma block dynamics for numerical analyze of rippling effect. Laser Part. Beams 23, 433-440.
30. KADOMTSEV, B.B. (1996). Nonlinear phenomena in Tokomak plasmas. Rep. Prog. Phys. 59, 91-130.
31. KENTWELL, G.W. & JONES, D.A. (1987). The time dependent ponderomotive force. Phys. Rep. 45, 285-359.
32. KEY, M.H. (2001). Fast track for fusion energy. Nature 412, 775-776.
33. KODAMA & FAST IGNITOR CONSORTIUM. (2002). Fast heating scalable for laser fusion ignition. Nature 418, 988-943.
34. LIFSCHITZ, A.F., FAURE, J., GLINEC, Y., MALKA, V. & MORA, P. (2006). Proposed scheme for compact Gev laser plasma accelerator. Laser Part. Beams 24, 255-259.
35. MARION, J.B. & HEALD, M.A. (1980). Classical Electromagnetic Radiation. New York: Academic Press.
36. NAKAMURA, T., SAKAGAMI, H., JOHZAKI, T., NAGATOMO, H. & MIMA, K. (2006). Generation and transport of fast electrons inside cone targets irradiated by intense laser pulses. Laser Part. Beams 24, 5-8.
37. NOVAK, M.M. (1980). Interaction of photons in dielectric media. Fortschritte d. Physik 28, 285-353.
38. NOVAK, M.M. (1981). Interaction of photons with electrons in dielectric media. PhD Thesis. New South Wales: University of New South Wales.
39. NOVAK, M.M. (1989). The effect of a nonlinear medium on electromagnetic waves. Fortschritte d. Physik 37, 125.
40. OSMAN, F., BEECH, P. & HORA, H. (2004). Solutions of the nonlinear paraxial equation due to laser plasma-interactions. Laser Part. Beams 22, 69-74.
41. PFIRSCH, D. & MORRISON, P.J. (1991). The energy-momentum tensor for the linearized Maxwell-Vlasov and kinetic guiding center theories. Phys. Fluids B 3, 271-283.
42. ROTH, M., BRAMBRINK, E., AUDEBERT, P., BLAZEVIC, A., CLARKE, R., COBBLE, J., COWAN, T.E., FERNANDEZ, J., FUCHS, J., GEISSEL, M., HABS, D., HEGELICH, M., KARSCH, S., LEDINGHAM, K., NEELY, D., RUHL, H., SCHLEGEL, T. & SCHREIBER, J. (2005). Laser accelerated ions and electron transport in ultraintense laser matter interaction. Laser Part. Beams 23, 95-100.
43. ROWLANDS, T.P. (1997). Relativistic Investigations of LaserPlasma Interactions and Electrodynamics in a Medium. PhD Thesis. New South Wales: University of New South Wales.
44. ROWLANDS, T.P. (1990). The Gauge and Lorentz invariance of the non-linear ponderomotive 4-force. Plasmas Phys. Cont. Fusion 32, 297-302.
45. SAKAGAMI, H., JOHZAKI, T., NAGATOMO, H. & MIMA, K. (2006). Fast ignition integrated interconnecting code project for coneguided targets. Laser Part. Beams 24, 191-198.
46. SCHAUMANN, G., SCHOLLMEIER, M.S., RODRIGUEZ- PRIETO, G., BLAZEVIC, A., BRAMBRINK, E., GEISSEL, M., KOROSTIY, S., PIRZADEH, P., ROTH, M., ROSMEJ, F.B., FAENOV, A.YA., PIKUZ, T.A., TSIGUTKIN, K., MARON, Y., TAHIR, N.A. & HOFFMANN, D.H.H. (2005). High energy heavy ion jets emerging from laser plasma generated by long pulse laser beams from the NHELIX laser system at GSI. Laser Part. Beams 23, 503-512.
47. SCHLÜTER, A. (1960). Lecture Notes on Plasma Theory (Wittern, H., Ed.). Munich, Germany: Institut für Theroretische Physik, University of Munich.
48. SCHLÜTER, A. (1950). Dynamic des plasmas I. Z. Naturforsch. 5A, 72-78.
49. SCHUTZ, B.F. (1985). A First Course in General Relativity. Cambridge, UK: Cambridge University Press.
50. SHERCLIFF, J.A. (1965). A Textbook of Magneto-hydrodynamics. Oxford, UK: Pergamon Press?.
51. SYNGE, J.L. (1965). Relativity: The Special Theory. Amsterdam: North-Holland Publishing.
52. TABAK, M., GLINSKY, M.N., KRUER, W.L., WILKS, S.C., WOODWORTH, J., CAMPBELL, E.M., PERRY, M.D. & MASON, R.J. (1994). Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 1626-1634.
53. ZEIDLER, A., SCHNABL, H. & MULSER, P. (1985). Light pressure of time-dependent fields in plasmas. Phys. Fluids 28, 372-376.
54. ZHANG, P., HE, J.T., CHEN, T.P., LI, Z.H., ZHANG, Y., LANG, W., LI, Z.J., FENG, B.H., ZHANG, D.X., TANG, X.W. & ZHANO, J. (1998). Effects of a prepulse on y-ray radiation produced by a femtosecond laser with only 5-MJ energy. Phys. Rev. E 57, 3746-3748.
55. ZHU, S. & SHEN, W. (1987). General relativistic ponderomotive force in a moving medium. J. Opt. Soc. Am. B 4, 730-742.