Exploration of skewness parameter of Skew-Cosh-Gaussian laser beam propagating through collisionless plasma

The skewness parameter 's' of a skew-cosh-Gaussian (skew-chG) laser beam travelling through collisionless plasma was analytically investigated in the current theoretically study. In this problem, the self-focusing and defocusing of a skew-chG beam in collisionless plasma has been studied successfully by utilising the Akhmanov's parabolic equation technique under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations. The dielectric function of plasma under consideration here exhibits ponderomotive type nonlinearity. Our primary goal is to understand how the skewness parameter affects the beam-width parameter changes during plasma propagation. It is observed that the skewness parameter 's' is more noticeable at a higher order of skewness 'n' of the skew-chG laser beams. With increasing skewness parameter the critical curves shifts downward and the enhanced self-focusing is observed and the rate of defocusing is decreases. It has been found that improved self-focusing in plasma depends on optimising the skewness parameter 's' of the skew-chG laser beam. The results are revealed graphically and discussed.