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<p>In this work, the analytical formulas for generalized Laguerre–Bessel–Gaussian (GLBG) beams are calculated using the process of Fresnel diffraction a computer generated hologram, which is similar to the fork-shaped hologram (CFH). Numerical simulations are performed to investigate the impact of various parameters based on our analytical findings. It is shown that variations in the beam parameters and the CFH parameters influence the intensity profile of the diffracted beam. The results reveal that the diffraction of a GLBG by the CFH generates a central ring accompanied by weaker surrounding rings, whose intensity decreases as both the beam and CFH parameters increase. The study of Fresnel diffraction for various subfamilies of GLBG beams, including fundamental Gaussian, Bessel-Gaussian, and Laguerre–Gaussian beams, is generalized in this research.</p>

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Transformation of generalized Laguerre–Bessel–Gaussian beams with curved-fork-shaped holograms

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Fatiha Boufalah,
  • Faroq Saad,
  • Latifa Dalil-Essakali,
  • Abdelmajid Belafhal

摘要

In this work, the analytical formulas for generalized Laguerre–Bessel–Gaussian (GLBG) beams are calculated using the process of Fresnel diffraction a computer generated hologram, which is similar to the fork-shaped hologram (CFH). Numerical simulations are performed to investigate the impact of various parameters based on our analytical findings. It is shown that variations in the beam parameters and the CFH parameters influence the intensity profile of the diffracted beam. The results reveal that the diffraction of a GLBG by the CFH generates a central ring accompanied by weaker surrounding rings, whose intensity decreases as both the beam and CFH parameters increase. The study of Fresnel diffraction for various subfamilies of GLBG beams, including fundamental Gaussian, Bessel-Gaussian, and Laguerre–Gaussian beams, is generalized in this research.