Analytical Investigation of q-Gaussian Beam Propagation in Cold Quantum Plasma with Absorption Effects

The analytical investigation of q-Gaussian beam propagation in cold quantum plasma with absorption effects is carried out in current study. The nonlinear differential equation showing response of beam waist with dimensionless distance is obtained within framework of Wentzel–Kramers–Brillouin and paraxial theory approaches. The effect of absorption coefficient is also introduced in present study. The nonlinear differential equation is obtained numerically using standard Runge–Kutta method. The key parameters of laser-plasma including beam intensity, plasma density, q-parameter, beam radius and linear absorption coefficient are systematically varied for exploring beam dynamics of q-Gaussian laser profile. The findings of this study are contrasted with corresponding behavior in classical relativistic plasma for highlighting the distinct features arising due to quantum regime.