Influence of Magnetic field and Decentred Parameter on Self-Focusing of cosh-Gaussian Laser Beam in Collisional Magnetized Plasma

In the present investigation, a Three-dimensional cosh-Gaussian laser beam is introduced. The self-focusing and defocusing of the cosh-Gaussian laser beam in collisional magnetized plasma have been investigated theoretically. The final Differential equation for the beam width parameter is derived by following Wentzel-Kramers-Brillouin (WKB) and paraxial approximation through standard Akhmanov`s parabolic wave equation. The final results of numerical computation are presented in the plot of beam width parameters (f 1 &f 2 ) versus normalized propagation distance. The author shows a nonlinear effect in the present investigation due to the magnetic field (B 0 ), decentered parameter ( b ), and plasma density on self-focusing and defocusing in collisional magnetized plasma. The results show well enhancement in the beam of self-focusing.