[Table of Contents]

Plasma and Fusion Research

Volume 6, 2404099 (2011)

Regular Articles

Theoretical Study of Ultra-Relativistic Laser Electron Interaction in the Strong Radiation Reaction Regime
Keita SETO, Hideo NAGATOMO and Kunioki MIMA
Institute of Laser Engineering, Osaka University, 2-6 Yamada-oka, Suita 565-0871, Japan
(Received 6 December 2010 / Accepted 11 March 2011 / Published 27 July 2011)


In the near future, the intensity of the ultra-short pulse laser will reach to 1022 W/cm2 owe to the advancements of the laser technologies. The motion of the electron becomes relativism. If the electron is laid in such strong field, the effect of the “radiation reaction” is not negligible for electron motion. In general, if this motion is describe as the Lorentz-Abraham-Dirac equation, there is a “run-away” solution. A lot of researchers have tried to transform this equation for avoiding run-away. As one solution of this problem, we succeeded in the discovery of a new equation that takes the place of the Lorentz-Abraham-Dirac equation. I'll show the validity of this equation by using the simulation in this paper.


radiation reaction, reaction force, laser electron interaction, exawatt laser, LAD equation, Schott force

DOI: 10.1585/pfr.6.2404099


  • [1] V. Yanovsky et al., Opt. Express 16, 2109 (2008).
  • [2] P.A.M. Dirac, Proc. Roy. Soc. A 167, 148 (1938).
  • [3] L.D. Landau and E.M. Lifshitz, The Classical theory of fields (Pergamon, New York, 1994).
  • [4] R.T. Hammond, e-print arXiv:0902.4231.
  • [5] R.T. Hammond, Phys. Rev. A 81, 062104 (2010).
  • [6] J. Koga, Phys. Rev. E 70, 046502 (2004).

This paper may be cited as follows:

Keita SETO, Hideo NAGATOMO and Kunioki MIMA, Plasma Fusion Res. 6, 2404099 (2011).