Cross focusing of q-Gaussian laser beams in cubic-quintic nonlinear media and conversion of circular laser beam into elliptic laser beam

Variational theory has been used to find the solution of nonlinear Schrodinger wave equation (NSWE) in a semi analytical way with the goal to model the dynamics of two coaxial asymmetric q-Gaussian laser beams in nonlinear optical media. The nonlinearity in the refractive index of the medium has been modeled by cubic-quintic model. Due to the intensity dependence of refractive index, the two laser beams get coupled with each other and thus influence the propagation characteristics of each other. Emphases are put on the dynamical variations of beam widths and longitudinal phases of the laser beams with distance of propagation.