Abstract
In this paper, we present a theoretical study of the propagation properties for Generalized Humbert-Gaussian beams (GHGBs) passing through a turbulent atmosphere. The axial intensity distribution of beams propagating through atmospheric turbulence is evaluated analytically based on the Huygens-Fresnel diffraction integral and the Rytov theory. The impact of the incident beam parameters and the turbulent strength on the output axial intensity is investigated through numerical illustrations. The results show that the propagation of GHGBs is faster when the atmosphere is very turbulent for small wavelength and small beam waist.
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References
Andrews, L., Phillips, R.: Laser beam propagation through random media. SPIE Press, Washington (1998)
Banakh, V., Falits, A.V.: Turbulent broadening of Laguerre-Gaussian beam in the atmosphere. Opt. Spectrosc. 117, 942–948 (2014)
Bandres, M.A., Gutierrez-Vega, J.C.: Circular beams. Opt. Lett. 33(2), 177–179 (2008)
Belafhal, A., Nebdi, H.: Generation and propagation of novel donut beams by a spiral phase plate: Humbert beams. Opt. Quantum Electron. 46, 201–208 (2014)
Boufalah, F., Dalil-Essakali, L., Nebdi, H., Belafhal, A.: Effect of turbulent atmosphere on the on-axis average intensity of Pearcey-Gaussian beam. Chin. Phys. b. 25, 064207–064213 (2016)
Boufalah, F., Dalil-Essakali, L., Ez-zariy, L., Belafhal, A.: Introduction of generalized Bessel–Laguerre–Gaussian beams and its central intensity travelling a turbulent atmosphere. Opt. Quantum Electron. 50, 3051–30520 (2018)
Cang, J., Zhang, Y.: Axial intensity distribution of truncated Bessel-Gauss beams in a turbulent atmosphere. Optik 121, 239–245 (2010)
Chen, B., Chen, Z., Ji-**ong, P.: Propagation of partially coherent Bessel-Gaussian beams in turbulent atmosphere. Opt. Laser Technol. 40, 820–827 (2008)
Eyyuboğlu, H.T.: Propagation and coherence properties of higher order partially coherent dark hollow beams in turbulence. Opt. Laser Technol. 40, 156–166 (2008)
Ez-zariy, L., Boufalah, F., Dalil-Essakali, L., Belafhal, A.: Effects of a turbulent atmosphere on an apertured Lommel-Gaussian beam. Optik 127, 11534–11543 (2016)
Gradshteyn, I.S., Ryzhik, I.M.: Tables of integrals, series and products, 5th edn. Academic Press, New York (1994)
Hajjarian, Z., Kavehrad, M., Fadlullah, J.: Spatially multiplexed multi-input-multi-output optical imaging system in a turbid, turbulent atmosphere. Appl. Opt. 49, 1528–1538 (2010)
Hennani, S., Barmaki, S., Ez-zariy, L., Nebdi, H., Belafhal, A.: A theoretical investigation of the axial intensity distribution of truncated MQBG beam in a turbulent atmosphere. Phys. Chem. News 69, 44–51 (2013)
Hricha, Z., Yaalou, M., Belafhal, A.: Intensity characteristics of double-half inverse Gaussian hollow beams through turbulent atmosphere. Opt. Quantum Electron. 52, 1–8 (2020)
Khannous, F., Boustimi, M., Nebdi, H., Belafhal, A.: Propagation analysis of the superposition of Kummer beams in a turbulent atmosphere. Phys. Chem. News 73, 83–89 (2014)
Khannous, F., Boustimi, M., Nebdi, H., Belafhal, A.: On-axis average intensity of hypergeometric Gaussian beams type II propagating in a turbulent atmosphere. J. Mater. Environ 6, 2550–2556 (2015)
Khannous, F., Boustimi, M., Nebdi, H., Belafhal, A.: Theoretical investigation on the Hollow Gaussian beams propagating in atmospheric turbulent. Chin. J. Phys. 54(2), 194–204 (2016)
Kinani, A., Ez-zariy, L., Chafiq, A., Nebdi, H., Belafhal, A.: Effects of atmospheric turbulence on the propagation of Li’s flat-topped optical beams. Phys. Chem. News 61, 24–33 (2011)
Korotkova, O.A., Gbur, G.: Angular spectrum representation for propagation of random electromagnetic beams in a turbulent atmosphere. J. Opt. Soc. Am. A Opt. 24, 2728–2736 (2007)
Liu, D., Wang, Y., Wang, G., Yin, H.: Intensity properties of flat-topped vortex hollow beams propagating in atmospheric turbulence. Optik 20, 9386–9393 (2016)
Luke, Y.L.: The special functions and their approximation, vol. I. Academic Press, Cambridge (1969)
Mei, Q.X., Yue, Z.W., Zhong, R.R.: Long-distance propagation of pseudo-partially coherent Gaussian Schell-model beams in atmospheric turbulence. Chin. Phys. B. 21(9), 094202 (2012)
Navidpour, S.M., Uysal, M., Kavehrad, M.: BER performance of free-space optical transmission with spatial diversity. IEEE Trans. Wirel. Commun. 6, 2813–2819 (2007)
Nossir, N., Dalil-Essakali, L., Belafhal, A.: Propagation analysis of some doughnut lasers beams through a paraxial ABCD optical system. Opt. Quantum Electron. 52, 1–16 (2020a)
Nossir, N., Dalil-Essakali, L., Belafhal, A.: Diffraction of generalized Humbert-Gaussian beams by a helical axicon. Opt. Quantum Electron. 53(2), 1–13 (2021b)
Qing, L.Y., Sen, W.Z., Jun, W.M.: Partially coherent Gaussian-Schell model pulse beam propagation in slant atmospheric turbulence. Chin. Phys. B. 23(6), 064216 (2014)
Qu, J., Zhong, Y., Zhifeng, C., Cai, Y.: Elegant Laguerre-Gaussian beam in a turbulent atmosphere. Opt. Commun. 283, 2772–2781 (2010)
Tanyer Eyyuboglu, H., Cai, Y.: Hypergeometric Gaussian beam and its propagation in turbulence. Optics Commun. 285(21–22), 4194–4199 (2012)
Wang, L.G., Zheng, W.W.: The effect of atmospheric turbulence on the propagation properties of optical vortices formed by using coherent laser beam arrays. J. Opt. a. 11, 1–7 (2009)
Wen, J.J., Breazeal, M.A., Acoustic, J.: A diffraction beam field expressed as the superposition of Gaussian beams. Soc. Am. 83, 1752–1756 (1988)
Wen, W., Chu, X., Ma, H.: The propagation of a combining Airy beam in turbulence. Opt. Commun. 336, 326–329 (2015)
Xu, J., Gao, J., Zhu, Y., Zhang, L., Zhang, Y.: Effects of atmospheric turbulence on the mode weight of the Laguerre-Gaussian Schell beams. Optk 125, 280–284 (2014)
Yaalou, M., El Halba, E.M., Hricha, Z., Belafhal, A.: Propagation characteristics of dark and antidark Gaussian beams in turbulent atmosphere. Opt. Quantum Electron. 51, 2552–25510 (2019)
Zhou, P., Liu, X., Xu, X., Chu, X.: Propagation of coherently combined flattened laser beam array in turbulent atmosphere. Opt. Laser Technol. 41, 403–407 (2009)
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Nossir, N., Dalil-Essakali, L. & Belafhal, A. Behavior of the central intensity of generalized humbert-gaussian beams against the atmospheric turbulence. Opt Quant Electron 53, 665 (2021). https://doi.org/10.1007/s11082-021-03316-w
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DOI: https://doi.org/10.1007/s11082-021-03316-w