Skip to main content
Log in

Analysis on the propagation characteristics of a Generalized Hermite cosh-Gaussian beam through human upper dermis tissue

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

Based on the extended Huygens–Fresnel principle, the analytical formula for a Generalized Hermite cosh-Gaussian beam (GHchGB) propagating through human upper dermis tissue is derived in this paper. From the derived formula, numerical illustrative examples are performed to illustrate the propagation properties of the considered beam in human upper dermis tissue. Results show that the evolution of the intensity pattern of GHchGB depends strongly on the source beam parameters such as Gaussian beam waists, decentered cosh parameter, hollowness parameter, beam orders and wavelength. It is found that the GHchGB with a smaller parameter in the human upper dermis evolves into the Gaussian beam faster as the propagation distance increases. This observation suggests that the resistance of the GHchGB against turbulence increases as the source parameter increases. The significance of the obtained results has the potential application in the development of bio-optical disease detection and treatment technology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Data availability

No datasets is used in the present study.

References

  • Andrews, L.C., Phillips, R.L.: Laser Beam Propagation Through Random Media. SPIE, Bellingham (2005)

    Book  Google Scholar 

  • Baykal, Y., Arpali, C., Arpali, S.A.: Scintillation index of optical spherical wave propagating through biological tissue. J. Mod. Opt. 64, 138–142 (2017)

    Article  ADS  Google Scholar 

  • Bayraktar, M.: Propagation of partially coherent hyperbolic sinusoidal Gaussian beam in biological tissue. Optik 245, 167741–167748 (2021)

    Article  ADS  CAS  Google Scholar 

  • Bayraktar, M., Elmabruk, K., Duncan, J.C.M., Chatzinotas, S.: Propagation of hollow higher order cosh-Gaussian beam in human upper dermis. Phys. Scr. 98, 115538–115548 (2023)

    Article  ADS  Google Scholar 

  • Belafhal, A., Hricha, Z., Dalil-Essakali, L., Usman, T.: A note on some integrals involving Hermite polynomials encountered in caustic optics. Adv. Math. Models Appl. 5, 313–319 (2020)

    Google Scholar 

  • Belafhal, A., Chib, S., Khannous, F., Usman, T.: Evaluation of integral transforms using special functions with applications to biological tissues. Comput. Appl. Math. 40, 156–178 (2021)

    Article  MathSciNet  Google Scholar 

  • Benzehoua, H., Saad, F., Belafhal, A.: A theoretical study of spectral properties of generalized chirped Hermite cosh Gaussian pulse beams in oceanic turbulence. Opt. Quantum Electron. 55, 1–14 (2023a)

    Article  Google Scholar 

  • Benzehoua, H., Saad, F., Belafhal, A.: Spectrum changes of pulsed chirped Generalized Hermite cosh-Gaussian beam through turbulent biological tissues. Optik 294, 171440–171450 (2023b)

    Article  ADS  Google Scholar 

  • Born, M., Wolf, E.: Principles of Optics, 7th edn. Cambridge University Press, Cambridge, UK (1999)

    Book  Google Scholar 

  • Casperson, L.W., Tovar, A.A.: Hermite–sinusoidal-Gaussian beams in complex optical systems. J. Opt. Soc. Am. A 15, 954–961 (1998)

    Article  ADS  Google Scholar 

  • Casperson, L.W., Hall, D.G., Tovar, A.A.: Sinusoidal-Gaussian beams in complex optical systems. J. Opt. Soc. Am. A 14, 3341–3348 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  • Chen, X., Li, J., Korotkova, O.: Light scintillation in soft biological tissues. Wave Random Complex 30, 481–489 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  • Ebrahim, A.A.A., Belafhal, A.: Effect of the turbulent biological tissues on the propagation properties of Coherent Laguerre-Gaussian beams. Opt. Quantum Electron. 53, 1–18 (2021)

    Article  Google Scholar 

  • Gökçe, M.C., Baykal, Y., Ata, Y.: Laser array beam propagation through liver tissue. J. Vis. 23, 331–338 (2020)

    Article  Google Scholar 

  • Gokce, M.C., Baykal, Y.: Effects of liver tissue turbulence on propagation of annular beam. Optik 171, 313–318 (2018)

    Article  ADS  CAS  Google Scholar 

  • Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series, and Products, Fth Academic Press, New York (1994)

    Google Scholar 

  • Hricha, Z., Belafhal, A.: A comparative parametric characterization of elegant and standard Hermite-cosh-Gaussian beams. Opt. Commun. 253, 231–241 (2005)

    Article  ADS  CAS  Google Scholar 

  • Jin, H., Zheng, W., Ma, H., Zhao, Y.: Average intensity and scintillation of light in a turbulent biological tissue. Optik 127, 9813–9820 (2016)

    Article  ADS  CAS  Google Scholar 

  • Li, Y., Feng, J., Li, B., Xie, Y.: Influence of structural length-scale sensitivities on Hermite–Gaussian rectangular vortex beam propagation in biological tissues. J. Mod. Opt. 69, 1094–1102 (2022)

    Article  ADS  Google Scholar 

  • Liang, Q., Hu, B., Zhang, Y., Zhu, Y., Deng, S., Yu, L.: Coupling efficiency of a partially coherent collimating laser from turbulent biological tissue to fiber. Res. Phys. 13, 102162–102167 (2019)

    Google Scholar 

  • Liu, D., Zhong, H., Wang, Y.: Intensity properties of anomalous hollow vortex beam propagating in biological tissues. Optik 170, 61–69 (2018)

    Article  ADS  CAS  Google Scholar 

  • Lu, X., Zhu, X., Wang, K., Zhao, C., Cai, Y.: Effects of biological tissues on the propagation properties of anomalous hollow beams. Optik 127, 1842–1847 (2016)

    Article  ADS  Google Scholar 

  • Luo, M., Chen, Q., Hua, L., Zhao, D.: Propagation of stochastic electromagnetic vortex beams through the turbulent biological tissues. Phys. Lett. A 378, 308–314 (2014)

    Article  ADS  CAS  Google Scholar 

  • Meiling, D., Chao, Z., Jinhong, L.: Coherence and polarization properties of laser propagating through biological tissues. J. Photochem. Photobiol. b. 172, 88–94 (2017)

    Article  PubMed  Google Scholar 

  • Radosevich, A.J., Yi, J., Rogers, J.D., Backman, V.: Structural length-scale sensitivities of reflectance measurements in continuous random media under the Born approximation. Opt. Lett. 37, 5220–5222 (2012)

    Article  ADS  PubMed  PubMed Central  Google Scholar 

  • Saad, F., Belafhal, A.: A theoretical investigation on the propagation properties of Hollow Gaussian beams passing through turbulent biological tissues. Optik 141, 72–82 (2017)

    Article  ADS  CAS  Google Scholar 

  • Saad, F., Belafhal, A.: Investigation on propagation properties of a new optical vortex beam: generalized Hermite cosh-Gaussian beam. Opt. Quantum Electron. 55, 1–16 (2022)

    Google Scholar 

  • Saad, F., Belafhal, A.: A comprehensive investigation on the propagation properties of a generalized Hermite cosh-Gaussian beam through atmospheric turbulence. Opt. Quantum Electron. 55, 1037–1048 (2023a)

    Article  Google Scholar 

  • Saad, F., Belafhal, A.: A detailed investigation of a generalized Hermite cosh-Gaussian beam propagating in uniaxial crystals orthogonal to the optical axis. Opt. Quantum Electron. 55, 1080–1091 (2023b)

    Article  Google Scholar 

  • Saad, F., Benzehoua, H., Belafhal, A.: Oceanic turbulent effect on the received intensity of a generalized Hermite cosh-Gaussian beam. Opt. Quantum Electron. 56, 1–15 (2023a)

    Google Scholar 

  • Saad, F., Benzehoua, H., Belafhal, A.: Propagation behavior of a generalized Hermite cosh-Gaussian laser beam through marine environment. Opt. Quantum Electron. 56, 1–12 (2023b)

    Google Scholar 

  • Schmitt, J.M., Kumar, G.: Turbulent nature of refractive-index variations in biological tissue. Opt. Lett. 21, 1310–1312 (1996)

    Article  ADS  CAS  PubMed  Google Scholar 

  • Tovar, A.A., Casperson, L.W.: Production and propagation of Hermite–sinusoidal-Gaussian laser beams. J. Opt. Soc. Am. A 15, 2425–2432 (1998)

    Article  ADS  CAS  Google Scholar 

  • Yu, L., Zhang, Y.: Beam spreading and wander of partially coherent Lommel–Gaussian beam in turbulent biological tissue. J. Quant. Spectrosc. Radiat. Transf. 217, 315–320 (2018)

    Article  ADS  CAS  Google Scholar 

  • Zhang, H., Cui, Z., Han, Y., Guo, J., Chang, C.: Average intensity and beam quality of Hermite–Gaussian correlated Schell-model beams propagating in turbulent biological tissue. Front. Phys. 9, 650537–650546 (2021)

    Article  Google Scholar 

Download references

Funding

No funding is received from any organization for this work.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. All authors performed simulations, data collection and analysis and commented the present version of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Abdelmajid Belafhal.

Ethics declarations

Conflict of interest

The authors have no financial or proprietary interests in any material discussed in this article.

Ethical approval

This article does not contain any studies involving animals or human participants performed by any of the authors. We declare that this manuscript is original, and is not currently considered for publication elsewhere. We further confirm that the order of authors listed in the manuscript has been approved by all of us.

Consent for publication

The authors confirm that there is informed consent to the publication of the data contained in the article.

Consent to participate

Informed consent was obtained from all authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saad, F., Benzehoua, H. & Belafhal, A. Analysis on the propagation characteristics of a Generalized Hermite cosh-Gaussian beam through human upper dermis tissue. Opt Quant Electron 56, 599 (2024). https://doi.org/10.1007/s11082-023-06259-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-023-06259-6

Keywords

Navigation