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

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Title: Transformation of generalized Laguerre–Bessel–Gaussian beams with curved-fork-shaped holograms.
Authors: Boufalah, Fatiha1 (AUTHOR) fatihaboufalah43@gmail.com, Saad, Faroq2,3 (AUTHOR) faroqsaad79@gmail.com, Dalil-Essakali, Latifa1 (AUTHOR) Latifadalilessakali@gmail.com, Belafhal, Abdelmajid1 (AUTHOR) belafhal@gmail.com
Source: Optical & Quantum Electronics. Jul2025, Vol. 57 Issue 7, p1-20. 20p.
Subjects: Laguerre-Gaussian beams, Fresnel diffraction, Bessel beams, Holography, Light intensity, Gaussian beams, Beam optics
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Transformation of generalized Laguerre–Bessel–Gaussian beams with curved-fork-shaped holograms.
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  Data: <searchLink fieldCode="AR" term="%22Boufalah%2C+Fatiha%22">Boufalah, Fatiha</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fatihaboufalah43@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Saad%2C+Faroq%22">Saad, Faroq</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> faroqsaad79@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Dalil-Essakali%2C+Latifa%22">Dalil-Essakali, Latifa</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Latifadalilessakali@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Belafhal%2C+Abdelmajid%22">Belafhal, Abdelmajid</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> belafhal@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Optical+%26+Quantum+Electronics%22">Optical & Quantum Electronics</searchLink>. Jul2025, Vol. 57 Issue 7, p1-20. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Laguerre-Gaussian+beams%22">Laguerre-Gaussian beams</searchLink><br /><searchLink fieldCode="DE" term="%22Fresnel+diffraction%22">Fresnel diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Bessel+beams%22">Bessel beams</searchLink><br /><searchLink fieldCode="DE" term="%22Holography%22">Holography</searchLink><br /><searchLink fieldCode="DE" term="%22Light+intensity%22">Light intensity</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+beams%22">Gaussian beams</searchLink><br /><searchLink fieldCode="DE" term="%22Beam+optics%22">Beam optics</searchLink>
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  Label: Abstract
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Optical & Quantum Electronics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s11082-025-08319-5
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      – Code: eng
        Text: English
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        PageCount: 20
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      – SubjectFull: Laguerre-Gaussian beams
        Type: general
      – SubjectFull: Fresnel diffraction
        Type: general
      – SubjectFull: Bessel beams
        Type: general
      – SubjectFull: Holography
        Type: general
      – SubjectFull: Light intensity
        Type: general
      – SubjectFull: Gaussian beams
        Type: general
      – SubjectFull: Beam optics
        Type: general
    Titles:
      – TitleFull: Transformation of generalized Laguerre–Bessel–Gaussian beams with curved-fork-shaped holograms.
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            NameFull: Boufalah, Fatiha
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            NameFull: Saad, Faroq
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            NameFull: Dalil-Essakali, Latifa
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            NameFull: Belafhal, Abdelmajid
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            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
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