Investigation of self-focusing a Gaussian laser pulse in a weakly relativistic and ponderomotive regime inside a collisionless warm quantum plasma |
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Institution: | 1. M.K.R Govt. Degree College, Ghaziabad, U.P., India;2. Princeton Plasma Physics Laboratory, Princeton University, Princeton, NJ, USA;3. Dept. of Physics, Ch. Charan Singh University, Meerut 250004, Uttar Pradesh, India;1. Department of Physics, Dr. B.R. Ambedkar National Institute of Technology Jalandhar, India;2. Department of Physics, DAV University Jalandhar, India |
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Abstract: | This article investigates nonlinear self-focusing of an intense right hand circularly polarized Gaussian profile laser pulse in a weakly relativistic and ponderomotive regime inside a collisionless and unmagnetized warm quantum plasma. The nonlinear propagation equation for laser pulse in plasma has been derived. Then, the evolution differential equation for laser spot-size was obtained with considering the parabolic equation approach under the Wentzel-Kramers-Brillouin and paraxial ray approximations. This differential equation was solved numerically by fourth-order Runge-Kutta method. It is shown that our solution confirms the results of the self-focusing of the laser pulse in a weakly relativistic ponderomotive regime in cold quantum plasma in extreme conditions. Numerical results indicate that self-focusing of the laser pulse in the presence of relativistic and ponderomotive nonlinearity inside warm quantum plasma is improved in comparison with relativistic and ponderomotive cold quantum plasma. |
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