Nonlinear propagation of Laguerre-Gaussian beam in quantum plasma: Comparative study

Abstract

In this study, we explore the characteristics of the Laguerre-Gaussian laser beam as they propagate through a thermal quantum plasma (TQP), considering relativistic non-linearity effects. The field distribution within the medium is characterized by parameters such as the width of the beam a and the Laguerre-Gaussian mode. We employ a variational approach to analytically solve the appropriate nonlinear Schrödinger wave equation. We analyze how the beam width parameter a evolves with the propagation distance z across various values of the \(L-G\) modes. Furthermore, we examine phenomena such as self-phase modulation and self-trapping under a range of parameters. Additionally, we explore the impact of different plasma regimes, including classical relativistic, relativistic cold quantum, and thermal quantum, on the self-focusing behavior of the laser beam. Our investigation reveals that self-focusing occurs earlier and is more pronounced in the case of thermal quantum plasma (TQP) compared to other plasma regimes.