Top

Optical and Quantum Electronics

Published in:

01-01-2024

Oceanic turbulent effect on the received intensity of a generalized Hermite cosh-Gaussian beam

Authors: Faroq Saad, Halima Benzehoua, Abdelmajid Belafhal

Published in: Optical and Quantum Electronics | Issue 1/2024

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The evolution properties of a Generalized Hermite cosh-Gaussian beam (GHCGB) through a turbulent oceanic medium are investigated based on the extended Huygens-Fresnel principal. The analytical formula for the average intensity of a GHCGB propagating in oceanic turbulence is derived. From the derived formula, the average intensity of the considered beam in oceanic turbulence is discussed with numerical examples. Our results show that the GHCGB propagating in stronger oceanic turbulence will lose its initial profile and rapidly evolve into a Gaussian distribution by increasing the dissipation rate of mean squared temperature and the relative strength of temperature and salinity fluctuations or by decreasing the rate of dissipation of turbulent kinetic energy per unit mass of fluid, in the far field. Meanwhile, the evolution properties of the GHCGB in the oceanic turbulence are affected by the initial beam parameters. We anticipate that our research results will be useful for practical applications in underwater optical communication and imaging systems.

previous article Performance estimation of SISO and MIMO Ro-FSO link under atmospheric turbulence

next article Optical soliton solutions of perturbed nonlinear Schrödinger equation with parabolic law nonlinearity

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Abramowitz, M.: In: Stegun, I. (ed.) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. U. S., Department of Commerce (1970)

Andrews, L.C., Phillips, R.L. (2005) Laser beam propagation through random media. SPIE Press, Bellingham, Washington, DC, USACrossRef

Ata, Y., Baykal, Y.: Effect of anisotropy on bit error rate for an asymmetrical gaussian beam in a turbulent ocean. Appl. Opt. 57, 2258–2262 (2018)CrossRefPubMedADS

Baykal, Y.: Scintillation index in strong oceanic turbulence. Opt. Commun. 375, 15–18 (2016)CrossRefADS

Baykal, Y.: Adaptive optics corrections of scintillations of hermite–gaussian modes in an oceanic medium. Appl. Opt. 59, 4826–4832 (2020)CrossRefPubMedADS

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

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

Benzehoua, H., Belafhal, A. (2023b) The effects of atmospheric turbulence on the spectral changes of diffracted pulsed hollow higher–order cosh–gaussian beam. 55, 1–20

Benzehoua, H., Belafhal, A.: Spectral properties of pulsed Laguerre higher-order cosh-gaussian beam propagating through the turbulent atmosphere. Opt. Commun. 541, 129492–1294102 (2023c)CrossRef

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

Cao, P.: Influence of anisotropic ocean turbulence on effective radius of curvature of partially coherent hermite–gaussian beam. Can. J. Phys. 100, 158–163 (2022)CrossRefADS

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

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)MathSciNetCrossRefADS

Chen, F., Zhao, Q., Chen, Y., Chen, J.: Polarization properties of quasi-homogeneous beams propagating in oceanic turbulence. J. Opt. Soc. Korea. 17, 130–135 (2013)CrossRef

Cheng, M., Guo, L., Li, J., Zhang, Y.: Channel capacity of the OAM based free space optical communication links with Bessel Gauss beams in turbulent ocean. IEEE Photonics J. 8, 1–11 (2016)

Elmabruk, K., Bayraktar, M.: Propagation of hollow higher-order cosh-gaussian beam in oceanic turbulence. Phys. Scr. 98, 035519–035529 (2023)CrossRefADS

Erdelyi, A., Magnus, W., Oberhettinger, F.: Tables of Integral Transforms. McGraw-Hill (1954)

Eyyuboglu, H.T.: Propagation of Hermite-cosh-gaussian laser beams in turbulent atmosphere. Opt. Commn. 245, 37–47 (2005)CrossRefADS

Fu, W., Zhang, H.: Propagation properties of partially coherent radially polarized doughnut beam in turbulent ocean. Opt. Commun. 304, 11–18 (2013)CrossRefADS

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

Hill, R.J.: Optical propagation in turbulent water. J. Opt. Soc. Am. A. 68, 1067–1072 (1978)CrossRefADS

Hou, W.: A simple underwater imaging model. Opt. Lett. 34, 2688–2690 (2009)CrossRefPubMedADS

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

Hricha, Z., Lazrek, M., Yaalou, M., Belafhal, A.: Effects of turbulent atmosphere on the propagation properties of vortex Hermite cosh-gaussian beams. Opt. Quant. Electron. 53, 1–15 (2021)

Huang, Y., Zhang, B., Gao, Z., Zhao, G., Duan, Z.: Evolution behavior of Gaussian Schell-model vortex beams propagating through oceanic turbulence. Opt. Express. 22, 17723–17734 (2014)CrossRefPubMedADS

Huang, Y., Huang, P., Wang, F., Zhao, Z., Zeng, A.: The influence of oceanic turbulence on the beam quality parameters of partially coherent hermite–gaussian linear array beams. Opt. Commun. 336, 146–152 (2015)CrossRefADS

Ji, X., Chen, X.: Changes in the polarization, the coherence and spectrum of partially coherent electromagnetic hermite–gaussian beams in turbulence. Opt. Laser Technol. 41, 165–171 (2009)CrossRefADS

Ji, X., Chen, X., Lu, B.: Spreading and directionality of partially coherent hermite– gaussian beams propagating through atmospheric turbulence. J. Opt. Soc. Am. A. 25, 21–28 (2008)CrossRefADS

Korotkova, O.: Polarization changes in light beams Trespassing anisotropic turbulence. Opt. Lett. 40, 3077–3080 (2015)CrossRefPubMedADS

Liu, D., Wang, Y., Luo, X., Wang, G., Yin, H.: Evolution properties of partially coherent four-petal gaussian beams in oceanic turbulence. J Mod. Opt. 64, 1579–1587 (2017a)MathSciNetCrossRefADS

Liu, D., Wang, Y., Wang, G., Luo, X., Yin, H.: Propagation properties of partially coherent four-petal gaussian vortex beams in oceanic turbulence. Laser Phys. 27, 016001–016008 (2017b)CrossRefADS

Luo, B., Wu, G., Yin, L., Gui, Z., Tian, Y.: Propagation of optical coherence lattices in oceanic turbulence. Opt. Commun. 425, 80–84 (2018)CrossRefADS

Nikishov, V.V., Nikishov, V.I.: Spectrum of turbulent fluctuations of the sea-water refraction index. Int. J. Fluid Mech. Res. 27, 82–98 (2000)MathSciNetCrossRef

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

Saad, F., Belafhal, A.: A comprehensive investigation on the propagation properties of a generalized Hermite Cosh-Gaussian beam through atmospheric turbulence. Opt. Quant. Electron. 55, 1–12 (2023)

Sayan, Ã.F., Gerçekcioğlu, H., Baykal, Y.: Hermite Gaussian Beam scintillations in weak atmospheric turbulence for aerial vehicle laser communications. Opt. Commun. 458, 124735–124739 (2020)CrossRef

Tang, M., Zhao, D.: Propagation of radially polarized beams in the oceanic turbulence. Appl. Phys. B. 111, 665–670 (2013)CrossRefADS

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

Wang, H., Kang, F., Zhao, W., Li, Y.: Propagation properties of standard and elegant Hermite Gaussian beams in oceanic turbulence. Proc. SPIE, Second Target Recognition and Artificial Intelligence Summit Forum 11427, 114273R-1-7 (2020)

Wu, X., Wang, C., Kong, Y., Wu, K.: Beam intensity and spectral coherence of Hermite-Cosine-Gaussian rectangular multi-gaussian correlated Schell-model beam in oceanic turbulence. Heliyon. 9, 18374–18383 (2023)CrossRef

Yang, Y., Yu, L., Wang, Q., Zhang, Y.: Wander of the short-term spreading filter for partially coherent gaussian beams through the anisotropic turbulent ocean. Appl. Opt. 56, 7046–7052 (2017)CrossRefPubMedADS

Ye, F., Zhang, J., Xie, J., Deng, D.: Propagation properties of the rotating elliptical chirped gaussian vortex beam in the oceanic turbulence. Opt. Commun. 426, 456–462 (2018)CrossRefADS

Yuan, Y., Cai, Y., Qu, J., Eyyuboğlu, H.T., Baykal, Y.: Propagation factors of hermite–gaussian beams in turbulent atmosphere. Opt. Laser Technol. 42, 1344–1348 (2010)CrossRefADS

Zhu, P., Wang, G., Yin, Y., Zhong, H., Wang, Y., Liu, D.: Radially phased-locked Hermite Gaussian Correlated Beam array and its properties in Oceanic Turbulence. Photonics. 10, 551–560 (2023)CrossRefADS

Title: Oceanic turbulent effect on the received intensity of a generalized Hermite cosh-Gaussian beam
Authors: Faroq Saad
Halima Benzehoua
Abdelmajid Belafhal
Publication date: 01-01-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05582-2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 1/2024

Design and application of optical communication technology based on machine learning algorithms in physical education teaching information management system

Optical wave profiles for the higher order cubic-quartic Bragg-gratings with anti-cubic nonlinear form

Modeling and analysis of a photonic crystal embedded ENZ gyrotropic metatronic amplifier using the mode matching technique

Big data analytics for dynamic network slicing in 5G and beyond with dynamic user preferences

Magnetic, electronic, optical, thermoelectric, and thermodynamic properties of ErMn0.5Fe0.5O3 perovskite via GGA+U approach and Monte Carlo simulations

Exploring the properties of quaternary X2NaTlF6 (X = Cs, Rb) halide double perovskite materials for energy conversion, harvesting, and storage using density functional theory