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<p>In this study, we explore the characteristics of the Laguerre-Gaussian laser beam as they propagate through a thermal quantum plasma (<i>TQP</i>), considering relativistic non-linearity effects. The field distribution within the medium is characterized by parameters such as the width of the beam <i>a</i> 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 <i>a</i> evolves with the propagation distance <i>z</i> across various values of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3570_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(L-G\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <mo>-</mo> <mi>G</mi> </mrow> </math></EquationSource> </InlineEquation> 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 (<i>TQP</i>) compared to other plasma regimes.</p>

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

  • 期刊论文

  • 发表日期：

    2025年7月22日

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  • Ravinder Kaur,
  • Ranju Mahajan,
  • Tarsem Singh Gill

摘要

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 \(L-G\) 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.