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Stability and dynamics of a cosh-Gaussian laser beam in relativistic thermal quantum plasma

Published online by Cambridge University Press:  01 October 2018

Ranju Mahajan
Affiliation:
Department of Physics, Lyallpur Khalsa College, Jalandhar 144001, India
Richa
Affiliation:
Research Scholar, I.K. Gujral Punjab Technical University, Kapurthala 144603, India
Tarsem Singh Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
Ravinder Kaur
Affiliation:
Department of Physics, DAV College, Jalandhar 144001, India
Munish Aggarwal
Affiliation:
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar 144001, India
Corresponding

Abstract

This paper presents an investigation on the self-focusing of a cosh-Gaussian laser beam in the thermal quantum plasma (TQP) by taking into account the effects of relativistic nonlinearity. An appropriate nonlinear Schrödinger equation has been solved analytically by applying the variational approach. The self-focusing and the self-phase modulation are examined under a variety of parameters. The self-trapping of a cosh-Gaussian laser beam is further studied at various values of the decentered parameter, b with different absorption levels, ${k}^{\prime}_i$ . Numerical analysis shows that these parameters play a vital role in propagation characteristics. The significant contribution of the quantum effects to enhance the self-focusing and minimize the longitudinal phase has been observed. Further, a comparison has been made with the classical relativistic (CR), the relativistic cold quantum (RCQ), and the thermal quantum (TQ) regimes. The self-focusing is found to occur earlier and is strongest for the case of TQP in the present analysis.

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Research Article
Copyright
Copyright © Cambridge University Press 2018 

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Stability and dynamics of a cosh-Gaussian laser beam in relativistic thermal quantum plasma
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