Abstract

This study explores vortex beam dynamics in the context of stimulated Raman scattering (SRS) in plasma. A thorough analysis is conducted to investigate the influence of vortex beams on plasma electron oscillations and wave generation, including a detailed examination of the relevant equations. Dispersion relations and growth rates, especially in relation to different azimuthal eigenmodes, are discussed. These discoveries contribute to more profound understanding of the dynamics of vortex beams within plasma during SRS, providing valuable insights that can be applied across diverse scientific fields. The results show that with the increase of the azimuthal value, significant trends emerge in the normalized frequency. Furthermore, the growth rate of SRS demonstrates an initial ascent followed by a subsequent reduction with varying azimuthal eigenmode numbers. In this paper, the behaviour of intensity profile in vortex cosine-hyperbolic Gaussian laser beam is studied when it travels in a plasma medium. The study shows that the intensity is minimized as the centre of this ring-shaped intensity profile.

中文翻译：

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等离子体中受激拉曼散射涡旋光束的动力学

摘要

本研究探讨了等离子体中受激拉曼散射 (SRS) 背景下的涡旋束动力学。进行了彻底的分析，以研究涡旋束对等离子体电子振荡和波生成的影响，包括对相关方程的详细检查。讨论了色散关系和增长率，特别是与不同方位角本征模相关的色散关系和增长率。这些发现有助于更深入地了解 SRS 期间等离子体内涡旋束的动力学，提供可应用于不同科学领域的宝贵见解。结果表明，随着方位角值的增加，归一化频率出现明显的变化趋势。此外，SRS 的增长率表现出最初的上升，随后随方位角本征模数的变化而下降。本文研究了涡旋余弦双曲高斯激光束在等离子体介质中传播时的强度分布行为。研究表明，作为该环形强度分布的中心，强度被最小化。