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Significant enhancement in the propagation of cosh-Gaussian laser beam in a relativistic–ponderomotive plasma using ramp density profile

Published online by Cambridge University Press:  26 June 2018

Harish Kumar
Affiliation:
I.K. Gujral Punjab Technical University, Kapurthala-144603, India
Munish Aggarwal*
Affiliation:
Department of Physics, Lyallpur Khalsa College of Engineering, Jalandhar-144001, India
Richa
Affiliation:
I.K. Gujral Punjab Technical University, Kapurthala-144603, India
Dinkar Sharma
Affiliation:
Department of Mathematics, Lyallpur Khalsa College, Jalandhar-144001, India
Sumit Chandok
Affiliation:
Department of Mathematics, Thapar University, Patiala-147004, India
Tarsem Singh Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Author for correspondence: Munish Aggarwal, I.K. Gujral Punjab Technical University, Kapurthala-144603, India. E-mail: sonuphy333@gmail.com

Abstract

The paper presents an investigation on self-focusing of cosh-Gaussian (ChG) laser beam in a relativistic–ponderomotive non-uniform plasma. It is observed numerically that the selection of decentered parameter and initial beam radius determines the focusing/defocusing of ChG laser beam. For given value of these parameters, the plasma density ramp of suitable length can avoid defocusing and enhance focusing effect significantly. Focusing length and extent of focusing may also be controlled by varying slope of the ramp density. A comparison with Gaussian beam has also been attempted for optimized set of parameters. The results establish that ChG beam focuses earlier and sharper relative to Gaussian beam. We have setup the non-linear differential equation for the beam width parameter using Wentzel–Kramers–Brillouin and paraxial ray approximation and solved it numerically using Runge–Kutta method.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2018 

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Significant enhancement in the propagation of cosh-Gaussian laser beam in a relativistic–ponderomotive plasma using ramp density profile
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