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<p>In this paper, we examine the Laguerre-Whittaker-Gauss (LWGBs) propagation in a gradient index (GRIN) medium. The Collins integral is used to get the analytical expression of LWGBs across this optical medium. Numerical demonstrations of the intensity characteristics of these beams in a GRIN medium are presented. The findings demonstrate that the gradient index parameter β and the incoming beam parameters m,<i> l</i>, n and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11082_2025_8109_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\omega_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ω</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> have an impact on the behavior of the LWGBs. Furthermore, it is demonstrated that when β grows, the period L decreases and the outgoing beam fluctuates regularly with the propagation distance. The findings presented in this study have applications in optical micromanipulation, free-space optical communications, optical control, and optical trapping.</p>

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Propagation characteristics of Laguerre-Whittaker-Gaussian beam in gradient index medium

  • 期刊论文

  • 发表日期：

    2025年3月12日

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  • F. Iraoui,
  • F. Khannous,
  • A. Belafhal

摘要

In this paper, we examine the Laguerre-Whittaker-Gauss (LWGBs) propagation in a gradient index (GRIN) medium. The Collins integral is used to get the analytical expression of LWGBs across this optical medium. Numerical demonstrations of the intensity characteristics of these beams in a GRIN medium are presented. The findings demonstrate that the gradient index parameter β and the incoming beam parameters m, l, n and \(\omega_{0}\) ω 0 have an impact on the behavior of the LWGBs. Furthermore, it is demonstrated that when β grows, the period L decreases and the outgoing beam fluctuates regularly with the propagation distance. The findings presented in this study have applications in optical micromanipulation, free-space optical communications, optical control, and optical trapping.