Relativistic Self-Focusing of Hermite-cosine-Gaussian Laser Beam in Collisionless Plasma with Exponential Density Transition

Vishal Thakur,Manzoor Ahmad Wani,Niti Kant

Fig. 1 Comparison between the effects of exponential plasma density ramps and without density ramp on the dependence of $f_{1}$ and $f_{2}$ on $\xi$. The other parameters are $\omega_{p0} /\omega =0.6,\alpha E_{0}^{2} =1.25$, $m_{0} /M= 0.02$, $r_{0} \omega /c= 50$, $\gamma = 1.25$, $d=8$, and $b=2$.