Relativistic self-focusing of cosh-Gaussian laser beams in a plasma

In the present paper, we have proposed to exploit an analysis of a self-consistent, steady state, theoretical model, which explains the propagation of cosh-Gaussian laser beams in a plasma. The nonlinearity we have considered is of relativistic type. Using the expression for the dielectric function,...

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Bibliographic Details
Published in:Optics and laser technology 2012-03, Vol.44 (2), p.314-317
Main Authors: Patil, S.D., Takale, M.V., Navare, S.T., Fulari, V.J., Dongare, M.B.
Format: Article
Language:English
Subjects:
Approximation
Beams (radiation)
Cosh-Gaussian
Dielectrics
Differential equations
Laser beams
Lasers
Mathematical models
Plasma
Relativistic
Steady state
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Summary:In the present paper, we have proposed to exploit an analysis of a self-consistent, steady state, theoretical model, which explains the propagation of cosh-Gaussian laser beams in a plasma. The nonlinearity we have considered is of relativistic type. Using the expression for the dielectric function, we have setup the differential equation for beam-width parameter using the WKB and paraxial approximations. The effect of decentred parameter of the beam on the critical curve and the dependence of the beam-width on the distance of propagation have been specifically considered. The results have been presented in the form of graphs and discussed. ► An analysis of self-focusing of cosh-Gaussian laser beams in relativistic plasma has been presented. ► Differential equation for beam-width parameter is established through parabolic equation approach. ► Decentred parameter plays vital role in self-focusing of cosh-Gaussian laser beams in relativistic plasma. ► The results are useful in understanding the physics of high power laser driven fusion.
ISSN:0030-3992
1879-2545
DOI:10.1016/j.optlastec.2011.07.005