Multiphoton absorption with Bessel Gaussian beams.

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Title: Multiphoton absorption with Bessel Gaussian beams.
Authors: Kessi, Ferhat1 (AUTHOR) ferhat.kessi@univ-bejaia.dz
Source: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 12/30/2025, Vol. 39 Issue 32, p1-15. 15p.
Subjects: Multiphoton absorption, Bessel beams, Light transmission, Nonlinear optical materials, Two-photon absorbing materials, Nonlinear optics
Abstract: This study investigates multiphoton absorption in thin, homogeneous nonlinear materials using Gauss–Bessel beams as the incident laser source. Multiphoton absorption processes are crucial for advanced photonic applications including nonlinear microscopy, optical limiting and photodynamic therapy, yet theoretical frameworks for structured beams remain limited. We derive an analytical expression for the normalized optical transmittance for arbitrary order n of nonlinearity under the weak nonlinearity approximation. Numerical simulations focusing on two-photon absorption at 800 nm wavelength reveal the unique characteristics of Gauss–Bessel beams in nonlinear interactions. Our simulations investigate Rayleigh lengths ranging from 0.407 to 3.979 mm, demonstrating that the valley width increases by approximately a factor of 10 across this range. Our results demonstrate that these beams maintain consistent maximum absorption of approximately 0.28 across various Rayleigh parameter values, indicating sustained high nonlinear interaction efficiency over extended distances. This constant absorption efficiency contrasts markedly with conventional Gaussian beams, which exhibit decreasing valley depth for larger Rayleigh lengths. This property, combined with a controllable interaction region width, offers significant advantages over conventional Gaussian beams in nonlinear optics applications. The extended depth of focus and uniform nonlinear response of Gauss–Bessel beams suggest improved robustness and flexibility in optical devices, reducing alignment sensitivity and increasing working distances in nonlinear setups. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company 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: Multiphoton absorption with Bessel Gaussian beams.
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  Data: <searchLink fieldCode="AR" term="%22Kessi%2C+Ferhat%22">Kessi, Ferhat</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ferhat.kessi@univ-bejaia.dz</i>
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  Data: <searchLink fieldCode="DE" term="%22Multiphoton+absorption%22">Multiphoton absorption</searchLink><br /><searchLink fieldCode="DE" term="%22Bessel+beams%22">Bessel beams</searchLink><br /><searchLink fieldCode="DE" term="%22Light+transmission%22">Light transmission</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+optical+materials%22">Nonlinear optical materials</searchLink><br /><searchLink fieldCode="DE" term="%22Two-photon+absorbing+materials%22">Two-photon absorbing materials</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+optics%22">Nonlinear optics</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This study investigates multiphoton absorption in thin, homogeneous nonlinear materials using Gauss–Bessel beams as the incident laser source. Multiphoton absorption processes are crucial for advanced photonic applications including nonlinear microscopy, optical limiting and photodynamic therapy, yet theoretical frameworks for structured beams remain limited. We derive an analytical expression for the normalized optical transmittance for arbitrary order n of nonlinearity under the weak nonlinearity approximation. Numerical simulations focusing on two-photon absorption at 800 nm wavelength reveal the unique characteristics of Gauss–Bessel beams in nonlinear interactions. Our simulations investigate Rayleigh lengths ranging from 0.407 to 3.979 mm, demonstrating that the valley width increases by approximately a factor of 10 across this range. Our results demonstrate that these beams maintain consistent maximum absorption of approximately 0.28 across various Rayleigh parameter values, indicating sustained high nonlinear interaction efficiency over extended distances. This constant absorption efficiency contrasts markedly with conventional Gaussian beams, which exhibit decreasing valley depth for larger Rayleigh lengths. This property, combined with a controllable interaction region width, offers significant advantages over conventional Gaussian beams in nonlinear optics applications. The extended depth of focus and uniform nonlinear response of Gauss–Bessel beams suggest improved robustness and flexibility in optical devices, reducing alignment sensitivity and increasing working distances in nonlinear setups. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company 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: 10.1142/S0217979225502868
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
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    Subjects:
      – SubjectFull: Multiphoton absorption
        Type: general
      – SubjectFull: Bessel beams
        Type: general
      – SubjectFull: Light transmission
        Type: general
      – SubjectFull: Nonlinear optical materials
        Type: general
      – SubjectFull: Two-photon absorbing materials
        Type: general
      – SubjectFull: Nonlinear optics
        Type: general
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      – TitleFull: Multiphoton absorption with Bessel Gaussian beams.
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            – D: 30
              M: 12
              Text: 12/30/2025
              Type: published
              Y: 2025
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              Value: 39
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              Value: 32
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            – TitleFull: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
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