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Analytical Study of Skew-Cosh-Gaussian Laser Beam Propagation through Collisionless Plasma


Affiliations
1 Department of Physics, Shivaji University, Kolhapur 416 004, India
2 Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
 

In the present theoretical investigation the domains of the order of skew-cosh-Gaussian (skew-chG) laser beams for a given set of skewness parameters and its significant effect on the self-focusing/defocusing in collisionless plasma has been studied. The nonlinearity in the dielectric function of collisionless plasma is mainly due to the ponderomotive force. By following parabolic wave equation approach under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations, nonlinear coupled differential equations are established for the beam width parameters. These equations have been solved numerically by using fourth-order Runge-Kutta method. The results obtained are presented graphically and discussed.

Keywords

Skew-Cosh-Gaussian, Skewness Parameters, Collisionless Plasma, Self-Focusing.
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  • Analytical Study of Skew-Cosh-Gaussian Laser Beam Propagation through Collisionless Plasma

Abstract Views: 135  |  PDF Views: 87

Authors

K Y Khandale
Department of Physics, Shivaji University, Kolhapur 416 004, India
P T Takale
Department of Physics, Shivaji University, Kolhapur 416 004, India
S S Patil
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
P P Nikam
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
M B Mane
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
S D Patil
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
M V Takale
Department of Physics, Shivaji University, Kolhapur 416 004, India

Abstract


In the present theoretical investigation the domains of the order of skew-cosh-Gaussian (skew-chG) laser beams for a given set of skewness parameters and its significant effect on the self-focusing/defocusing in collisionless plasma has been studied. The nonlinearity in the dielectric function of collisionless plasma is mainly due to the ponderomotive force. By following parabolic wave equation approach under Wentzel-Kramers-Brillouin (WKB) and paraxial approximations, nonlinear coupled differential equations are established for the beam width parameters. These equations have been solved numerically by using fourth-order Runge-Kutta method. The results obtained are presented graphically and discussed.

Keywords


Skew-Cosh-Gaussian, Skewness Parameters, Collisionless Plasma, Self-Focusing.

References