On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

. In the present paper, the nonlinear features of a high-intensity q - Gaussian laser beam propagating in collisional plasma have been investigated. The collisional plasma dynamics is basically dominated by local collisional forces rather than collective actions in it. Naturally, the nonlinearity in the dielectric function of plasma due to nonuniform heating of carriers along the wavefront of the laser beam becomes important. Here in q -Gaussian beam intensity proﬁle q can explored right from extremely low to extremely high value such as inﬁnity. As a consequence of it studies in propagation dynamics becomes quite interesting. By following Akhmanov parabolic equation approach under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations, the differential equation is set up for the beam width parameter f and is solved numerically. The signiﬁcant effect of wide range of q on critical beam radius as well as on propagation a dynamic of q -gaussian laser beam have been found interesting and is presented graphically.