Plasma and Fusion Research
Volume 5, 028 (2010)
Rapid Communications
- Department of Fundamental Energy Science, Graduate School of Energy Science, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan
Abstract
A methodology describing the particle motion in a spatially localized high-power laser field in the relativistic regime is presented based on the noncanonical Lie perturbation method, which is comprehensive compared with those based on the conventional averaging method to the equation of motion. We successfully derived the relativistic ponderomotive force in a laser field with a radial intensity gradient and the corresponding particle dynamics up to the first order with respect to the expansion parameter ε ∼ λ/L (= laser wavelength/scale length of the transverse laser amplitude). The longitudinal motion was found to be secular and characterized by a growing oscillation exhibiting a cubic dependence on the laser amplitude.
Keywords
noncanonical perturbation method, Lie transformation, high intensity laser field, ponderomotive force
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References
- [1] G.A. Mourou, T. Tajima and S.V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
- [2] T. Tajima, Scientific Advisory Committee: Report on the ELI Science (2009).
- [3] E.A. Startsev and C.J. McKinstrie, Phys. Rev. E 55, 7527 (1996).
- [4] P. Gibbon, Short Pulse Laser Interactions with Matter (Imperial College Press, London, 2005) p.36.
- [5] J.R. Cary and R.G. Littlejohn, Ann. Phys. 151, 1 (1983).
- [6] A.J. Brizard and T.S. Hahm, Rev. Mod. Phys. 79, 421 (2007).
- [7] Y. Kishimoto, S. Tokuda and K. Sakamoto, Phys. Plasmas 2, 1316 (1995).
- [8] E.S. Sarachik and G.T. Schappert, Phys. Rev. D 1, 2738 (1970).
This paper may be cited as follows:
Natsumi IWATA, Kenji IMADERA and Yasuaki KISHIMOTO, Plasma Fusion Res. 5, 028 (2010).