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Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

ISSN: 2834-7706 | DOI: 10.33140/JMTCM

Impact Factor: 1.3

Influence of Magnetic field and Decentred Parameter on Self-Focusing of Cosh-Gaussian Laser Beam in Collisional Magnetized Plasma

Abstract

B. D. Vhanmore, S. P. Rajmane, S. D. Patil, M. V. Takale

In the present investigation, Three-dimensional Cosh-Gaussian laser beam is introduced. The self-focusing and defocusing of Cosh-Gaussian laser beam in collisional magnetized plasma have been investigated theoretically. The final Differential equation for the beam width parameter is derived by following Wentzel-Kramer’s-Brillouin (WKB) and paraxial approximation through standard Akhmanov`s parabolic wave equation. The final results of numerical computation are presented in the plot of beam width parameters (f1 & f2) versus normalized propagation distance ( ). In present investigation the author shows nonlinear effect due to magnetic field (B0), decentered parameter (b) and plasma density on self-focusing and defocusing in collisional magnetized plasma. The results show well enhancement in beam of self-focusing.

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