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, 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.