Initial Spot Size Influence of Hollow Gaussian Laser Beam on the Self-Focusing Phenomenon Inside Magnetized Plasma

This article presents a theoretical study of the self-focusing process of a hollow Gaussian laser beam(HGLB) inside a plasma medium placed in a magnetic field perpendicular to the direction of the hollow Gaussian laser beam propagation. The self-focusing was studied using relativistic nonlinearity. Particular mathematical equations were derived that describe the nonlinear behavior of hollow Gaussian laser beam when they propagate inside the plasma, and they were solved. This behavior was simulated using the MATLAB program. This study dealt with the effect of Initial Spot Size of hollow Gaussian laser beam on the self-focusing process.