Nonparaxial coefficients influence of high intense laser beam on the relativistic self-focusing inside plasm

In this thesis, the self-focusing phenomena have been explored about the nonparaxial deformation coefficients of the laser beam wavefront. Due to the relativistic nonlinear interaction between the nonparaxial laser beam and plasma, a self-focused laser beam will have appeared. The proper differential equations relating to the behavior of the laser beam inside plasma have been obtained, and they have been numerically solved by creating the appropriate Matlab algorithms. The results demonstrate that as both nonparaxial deformation coefficients are decreed, the self-focusing of the laser beam increases, however, the second-order spherical deformation coefficient is bigger than the fourth-order spherical deformation coefficient. This study also explores the relationship between laser beam intensity, plasma frequency, and laser beam diameter on the laser beam's ability to self-focus inside the plasma. When these factors are sufficiently high, a laser beam with a high degree of self-focusing will be visible. At low magnitudes, however, the phenomena of a laser beam defocusing will predominate.