Bulg. J. Phys. vol.49 no.4 (2022), pp. 375-385

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

K.Y. Khandale1, P.T. Takale1, T.U. Urunkar1, S.S. Patil2, P.P. Nikam2, M.B. Mane2, V.S. Pawar3, A.T. Valkunde4, S.D. Patil2, M.V. Takale1
1Department of Physics, Shivaji University, Kolhapur 416 004, India
2Department of Physics, Devchand College Arjunnagar, Kolhapur 591 237, India
3Department of Physics, DKASC College, Ichalkaranji, M.S., 416 115, India
4Government Polytechnic, Khamgaon, Buldhana 444 312, India
Abstract. 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.

doi: https://doi.org/10.55318/bgjp.2022.49.4.375

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