Self-focusing of skew cosh gaussian laser beams propagation in absorbing collisionless and collisional plasmas

In the present theoretical investigation, the authors explored analytically and graphically the impact of linear absorption on self-focusing of skew-ChG laser beams propagating in collisionless and collisional plasmas. The authors constructed differential equations for the beam width parameters (BWP) f₁ and f₂ and solved them numerically utilizing Akhmanov's parabolic wave equation approach under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations. The mechanism or nonlinearity considered herein is the ponderomotive force and heating mainly determined by collisions of electrons with heavier particles. The numerical computation was completed using the fourth-order Runge–Kutta method. The self-focusing phenomenon is sensitive to the order of skewness n and of skewness parameter s of the skew-ChG laser beams while it passes through plasma media. We have observed that the absorption coefficient \({K}_{i}^{\prime}\) $K_i^{\prime }$ plays a vital role in the self-focusing effect and destroys the oscillatory self-focusing nature of skew-ChG laser beams during the propagation in the collisional, collisionless plasmas. Results are revealed graphically and discussed.