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Propagation characteristics of Hermite-cosh-Gaussian laser beam in a rippled density plasmas

Published online by Cambridge University Press:  04 January 2017

S. Kaur ,
M. Kaur ,
R. Kaur  and
T.S. Gill
S. Kaur*
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar -143005, India
M. Kaur
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar -143005, India
R. Kaur
Affiliation:
Department of Physics, D. A. V. College, Jalandhar-144008, India
T.S. Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar -143005, India
*
Address correspondence and reprint requests to: S. Kaur, Department of Physics, Guru Nanak Dev University, Amritsar-143005, India. E-mail: [email protected]
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Abstract

In the present research work, the authors have investigated the self-focusing and defocusing of Hermite-cosh-Gaussian laser (HChG) beam in an inhomogeneous rippled density plasmas. By taking the relativistic non-linearity into account, an equation for envelope is set up and solved using Wentzel–Kramers–Brillouin and the paraxial ray approximation. An ordinary non-linear differential equation governing the beam width parameter as a function of propagation distance is set up for different mode structures of the beam. Further, a numerical study of this differential equation is carried for suitable set of plasma and laser parameters. The beam undergoes periodic self-focusing/defocusing due to relativistic non-linearity. We also report the comparison between self-focusing/defocusing of HChG beam in the absence and presence of density ripple. Presence of ripple does not only leads to substantial increase in self-focusing length, but also results in oscillatory character with decreasing f. In a relativistic case, strong oscillatory self-focusing and defocusing is observed. Further, self-focusing is enhanced with increased value of decentered parameter.

Keywords

Beam width parameterDensity rippleHermite-cosh-Gaussian beamRelativistic self-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 1 , March 2017 , pp. 100 - 107
Copyright
Copyright © Cambridge University Press 2017 

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