Skip to main content
Log in

Impact of human upper dermis tissue on the spectral intensity of a pulsed chirped general model vortex higher-order cosh-Gaussian beam

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

Abstract

Based on the power spectrum refractive index, the extended Huygens-Fresnel integral, and the Fourier Transform method, an analytical formula for a pulsed chirped General Model vortex Higher-order cosh-Gaussian beam propagating through human upper dermis tissue are derived. Numerical simulations are presented to illustrate how the evolution properties of the beam are affected by varying beam parameter configurations through the human upper dermis tissue. Results shows that the pulsed chirped GMvHchGB undergoes changes in its shape as it traverses a considerable distance through this medium. The influence of incident beam parameters such as Gaussian waist, cosh parameter, hollowness, and beam order are illustrated in detail. We anticipate that the results obtained in the present work are significant in developing bio-optical disease detection and treatment technologies especially for cancer. Based on the difference in the intensity distribution, scientists can detect the diseases.

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

Similar content being viewed by others

Data availability

No datasets is used in the present study.

References

  • Andrews, L.C., Philips, R.L.: Laser Beam Propagation Through Random Media. SPIE Press, Washington (1998)

    Google Scholar 

  • Bayraktar, M.: Propagation of partially coherent hyperbolic sinusoidal Gaussian beam in biological tissue. Optik 245, 167741–167749 (2021)

    Article  ADS  Google Scholar 

  • Bayraktar, M.: Propagation of cosh-Gaussian beams in uniaxial crystals orthogonal to the optical axis. Ind. J. Phys. 96, 2531–2540 (2022)

    Article  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., Belafhal, A.: Analysis of the behavior of pulsed vortex beams in oceanic turbulence. Opt. Quant. Electron. 55, 1–14 (2023a)

    Article  Google Scholar 

  • Benzehoua, H., Belafhal, A.: Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system. Opt. Quantum Electron. 55, 663–681 (2023b)

    Article  Google Scholar 

  • Benzehoua, H., Belafhal, A.: Effects of Hollow-Gaussian beams on Fresnel diffraction by an opaque disk. Quantum Electron. 55, 1–16 (2023c)

    Google Scholar 

  • Benzehoua, H., Belafhal, A.: Spectral properties of pulsed Laguerre higher-order cosh-Gaussian beam propagating through the turbulent atmosphere. Opt. Commun. 541, 129492–129502 (2023d)

    Article  Google Scholar 

  • Benzehoua, H., Belafhal, A.: The effects of atmospheric turbulence on the spectral changes of diffracted pulsed hollow higher-order Cosh-Gausian beam. Opt. Quantum Electron. 55, 973–993 (2023e)

    Article  Google Scholar 

  • Benzehoua, H., Bayraktar, M., Belafhal, A.: Influence of maritime turbulence on the spectral changes of pulsed Laguerre higher-order cosh-Gaussian beam. Opt. Quant. Electron. 56, 155–169 (2024)

    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, 171440–171451 (2023)

    Article  ADS  Google Scholar 

  • Cheng, K., Zhu, B.Y., Shu, L.Y., Liao, S., Liang, M.T.: Averaged intensity and spectral shift of partially coherent chirped optical coherence vortex lattices in biological tissue turbulence. J. Chin. Opt. 15, 364–372 (2022)

    Article  Google Scholar 

  • Chib, S., Dalil-Essakali, L., Belafhal, A.: Partially coherent beam propagation in turbid tissue-like scattering medium. Opt. Quantum Electron. 55, 602–617 (2023)

    Article  Google Scholar 

  • Duan, M., Tian, Y., Zhang, Y., Li, J.: Influence of biological tissue and spatial correlation on spectral changes of Gaussian-Schell model vortex beam. Opt. Lasers Eng. 134, 106224–106230 (2020)

    Article  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, 179–196 (2021)

    Article  Google Scholar 

  • Ebrahim, A.A.A., Swillam, M.A., Belafhal, A.: Atmospheric turbulent effects on the propagation properties of a General Model vortex Higher-order cosh-Gaussian beam. Opt. Quantum Electron. 55, 1–13 (2023)

    Article  Google Scholar 

  • Elmabruk, K., Bayraktar, M.: Propagation of hollow higher-order cosh-Gaussian beam in oceanic turbulence. Phy. Scr. 98, 035519–035530 (2023)

    Article  ADS  Google Scholar 

  • Eyyuboğlu, H.T., Baykal, Y., Sermutlu, E.: Convergence of general beams into Gaussian intensity profiles after propagation in turbulent atmosphere. Opt. Commun. 265, 399–405 (2006)

    Article  ADS  Google Scholar 

  • Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series, and Products, 5th edn. Academic Press, New York (1994)

    Google Scholar 

  • Hricha, Z., Lazrek, M., Yaalou, M., Belafhal, A.: Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence. Opt. Quantum Electron. 53, 383–398 (2021)

    Article  Google Scholar 

  • Ji, X., Zhang, E., Lü, B.: Spectral properties of chirped Gaussian pulsed beams propagating through the turbulent atmosphere. J. Mod. Opt. 54, 541–553 (2007)

    Article  ADS  Google Scholar 

  • Li, Y., Zhang, Y., Zhu, Y., Yu, L.: Modified biological spectrum and SNR of Laguerre-Gaussian pulsed beams with orbital angular momentum in turbulent tissue. Opt. Express 27, 9749–9762 (2019)

    Article  ADS  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  Google Scholar 

  • Niemz, M.H.: Laser-Tissue Interactions. Springer-Verlag, Berlin Heidelberg (2007)

    Book  Google Scholar 

  • Nossir, N., Dalil-Essakali, L., Belafhal, A.: Behavior of the central intensity of generalized humbert-gaussian beams against the atmospheric turbulence. Opt. Quantum Electron. 53, 665–677 (2021)

    Article  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  Google Scholar 

  • Rogers, J.D., Radosevich, A.J., Yi, J., Backman, V.: Modeling light scattering in tissue as continuous random media using a versatile refractive index correlation function. IEEE J. Sel. Top. Quantum Electron. 20, 173–186 (2014)

    Article  ADS  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  Google Scholar 

  • Saad, F., Benzehoua, H., Belafhal, A.: Analysis on the propagation characteristics of a Generalized Hermite cosh-Gaussian beam through human upper dermis tissue. Opt. Quantum Electron. Opt. Quant. Elec. 56, 599–614 (2024).

    Article  Google Scholar 

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

    Article  ADS  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 A. Belafhal.

Ethics declarations

Conflict of interest

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

Consent to participate

Informed consent was obtained from all authors.

Consent for publication

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

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

Benzehoua, H., Saad, F., Bayraktar, M. et al. Impact of human upper dermis tissue on the spectral intensity of a pulsed chirped general model vortex higher-order cosh-Gaussian beam. Opt Quant Electron 56, 850 (2024). https://doi.org/10.1007/s11082-024-06492-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-024-06492-7

Keywords

Navigation