The energy transportation of High-energy electrons to the compressed fuel and study of affected factors on it are the most important issues in fast ignition method. In this research, regarding the role of Weibel instability in process modulation and possible impacts of electron and plasma beam velocity to reach higher energy yields, the effect of temporal variation of particle distribution in the presence of laser electric fields on growth and condition of Weibel instability in beam-plasma medium were investigated in the form of a classic system without any Coulombic collision between the particles and magnetic fields. The results show that the time-dependent drift velocity leads to a decrease the growth rate of the Weibel when energy transportation of energetic particles to the fusion plasma systems increases.
