Spatiotemporal evolution of Gaussian laser pulse in weakly relativistic magnetized cold quantum plasma

The paper presents the spatiotemporal evolution of electromagnetic Gaussian laser beam propagating in weakly relativistic plasma medium. We have applied axial magnetic field and by taking into account the quantum effects to study pulse compression and self-focusing mechanism of the incoming laser pulse. The coupled equations involving beam width and pulse length parameters are derived using paraxial ray and Wentzel Kramers Brillouin approximations. The numerical solution of the coupled equations are obtained using fourth-order Runge-Kutta method which determine the beam dynamics in both time and space in different type of plasma medium. The results obtained illustrates that the pulse is compressed to a significant extent as it propagates through plasma thereby enhancing the normalized intensity of the pulse to many folds when quantum effects are taken in addition to the magnetic field as compared to the case when magnetic field alone is taken into account and neglecting quantum effects. It is further observed that self-compression mechanism assists the self-focusing of the pulse and hence we get highly focused pulse with lesser spot size. Three-dimensional view of spatiotemporal profile of normalized intensity has been plotted at different focusing and defocusing points of laser pulse which presents the comprehensive picture of pulse compression and self-focusing with the normalized distance of propagation.