Dynamics of q-Gaussian laser beam in thermal quantum plasma: self-focusing self-trapping and self-phase modulation

This paper presents theoretical investigation of propagation characteristics of q-Gaussian laser beam in thermal quantum plasmas. The field distribution in the medium is expressed in terms of beam width parameter f and the parameter q describing the deviation of intensity distribution of the laser beam from Gaussian distribution. Due to nonuniform irradiance along the wavefront of the laser beam and high field amplitude associated with it the laser beam gets self-focused. An appropriate nonlinear Schrodinger wave equation for the field of laser beam has been solved with the help of moment theory approach in W.K.B approximation. The behavior of beam width parameter f with distance of propagation for different laser-plasma parameters has been investigated. Self-phase modulation and self-trapping of the laser beam also have been investigated for variety of parameters.