Abstract
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.
