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Relativistic ponderomotive self-focusing of quadruple Gaussian laser beam in cold quantum plasma

Published online by Cambridge University Press:  08 October 2018

Richa ,
Munish Aggarwal ,
Harish Kumar ,
Ranju Mahajan ,
Navdeep Singh Arora  and
Tarsem Singh Gill
Richa
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala-144603, India
Munish Aggarwal*
Affiliation:
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar-145001, India
Harish Kumar
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala-144603, India
Ranju Mahajan
Affiliation:
Department of Physics, Lyallpur Khalsa College, Jalandhar-145001, India
Navdeep Singh Arora
Affiliation:
Amritsar College of Engineering and Technology, Amritsar-143115, India
Tarsem Singh Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Author for correspondence: Munish Aggarwal, Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar-145001, India. E-mail: sonuphy333@gmail:com
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Abstract

In the present paper, we have investigated self-focusing of the quadruple Gaussian laser beam in underdense cold quantum plasma. The non-linearity chosen is associated with the relativistic mass effect that arises due to quiver motion of electron and electron density perturbation caused by ponderomotive force. The non-linearity modifies the plasma frequency in the dielectric function and hence the refractive index of the medium. The focusing/defocusing of the quadruple laser depends on the refractive index of the medium. We have set up non-linear differential equation that controls the beam width parameter by using well-known paraxial ray approximation and Wentzel–Krammers–Brillouin approximation. The effect of intensity parameter and electron temperature is observed on laser beam self-focusing in the presence of cold quantum plasma. From the results, it is revealed that electron temperature and the initial intensity of the laser beam control the profile dynamics of the laser beam.

Keywords

Cold quantum plasmaQuadruple Gaussianponderomotiverelativisticself-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 3 , September 2018 , pp. 353 - 358
Copyright
Copyright © Cambridge University Press 2018 

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