analytical expression of the beam-plasma particles distribution function effect on the electromagnetic instability growth rate in strongly coupled plasmas

The beam-plasma particles distribution function is one of the parameters which plays an important role in the energy-traveling mechanism of the relativistic electrons generated by the laser-plasma interaction in the inertial confinement fusion plasma. this paper investigates an analytical expression of the beam-plasma particles distribution function effect such as the kappa, semi-relativistic maxwellian and bi-maxwell distributions on the weibel electromagnetic instability growth rate in strongly coupled plasmas under the low-frequency wave condition. the obtained results show that the maximum growth rate of the beam- plasma particles with semi-maxwell distribution function is based on the temperature anisotropy parameter, density gradient, quantum and relativistic parameters has the highest possible value compared to the other two beam-plasma particles distribution functions. also, the bi-maxwellian distribution function has a more stable growth rate than the kappa and the semi-maxwell distribution functions.