Quadruple Gaussian laser beam in cubic-quintic nonlinear media: effect of nonlinear absorption

An investigation on nonlinear propagation of Quadruple Gaussian (Q.G) laser beams propagating through dissipative media possessing cubic-quintic nonlinearity has been presented. The formulation is based on finding the numerical solution of Ginzburg-Landau equation for the field of incident laser beam followed by moment theory approach in W.K.B approximation. In particular, dynamical variations of beam spot size and longitudinal phase of the laser beam have been investigated in detail. Self-trapping of the laser beam resulting from the balance between diffraction broadening and nonlinear refraction has been also investigated.