Contribution to the study of lowest order Bessel-Gaussian beams propagating in thermal quantum plasma

In this paper, the self-focusing of lowest order Bessel-Gaussian beams in relativistic thermal quantum plasma is investigated. To describe the behavior propagation beams in the considered medium plasma, nonlinear differential equation of beam-width parameter is derived by using Wentzel-Kramers-Brillouin and paraxial approximations. It is shown that the quantum effects enhance the relativistic self-focusing of laser beam in thermal quantum plasma by comparison to relativistic cold quantum and classical relativistic regimes.