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Relativistic effects on propagation of q-Gaussian laser beam in a rippled density plasma: Application of higher order corrections

Published online by Cambridge University Press:  30 July 2018

M. Kaur ,
P. C. Agarwal ,
S. Kaur  and
T. S. Gill
M. Kaur*
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, Punjab, India
P. C. Agarwal
Affiliation:
Regional Institute of Education, Bhubaneswar 751022, India
S. Kaur
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, Punjab, India
T. S. Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, Punjab, India
*
Author for correspondence: S. Kaur, Department of Physics, Guru Nanak Dev University, Amritsar, 143005, Punjab, India. E-mail: sukhdeep.iitd@gmail.com
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Abstract

A nonparaxial investigation for propagation characteristics of q-Gaussian laser beam in rippled density plasma is studied by considering the relativistic nonlinearity. The field distribution in the medium is expressed in terms of q parameter and beam width parameter f. Nonlinear parabolic partial differential equation governing the evolution of complex envelope in slowly varying approximation is solved in a modulated density profile. Analytical theory of self-focusing including higher order terms in the expansion of dielectric function up to fourth order is developed and the variation of beam width parameter f with the distance of propagation for different parameters is studied. One may note that increased value of density ripple, laser intensity and depth of modulation, increases self-focusing whereas a lower value of q shows strong self-focusing. A comparative study between paraxial and nonparaxial study has also conducted. This study is useful for research in high energy density physics.

Keywords

Density rippleq-Gaussian laser beamRelativistic nonlinearitySelf-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 2 , June 2018 , pp. 246 - 253
Copyright
Copyright © Cambridge University Press 2018 

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