Abstract
This paper investigates beam evolution and beam sizes variation of hyperbolic sinusoidal Gaussian (HSG) beam propagating in jet engine exhaust-induced turbulence. We find the received field by solving Huygens-Fresnel integral with a relevant power spectrum. Our results reveal that HSG loses its initial profile until 100 m. Besides, beam with low displacement parameter value is more resistive against turbulence. In terms of beam size, beams with low Gaussian source size expand less as compared to the beams with larger Gaussian source size. In the light of our findings, optical systems in aircrafts like directed infrared counter measure (DIRCM) and laser designators can be developed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bayraktar, M.: “Properties of hyperbolic sinusoidal Gaussian beam propagating through strong atmospheric turbulence,” (in English). Microw Opt. Techn. Let. 63(5), 1595–1600 (2021)
Bayraktar, M.: Average intensity of astigmatic hyperbolic sinusoidal Gaussian beam propagating in oceanic turbulence in English. Phys. Scripta. 96(2), 25501 (2021) https://doi.org/10.1088/1402-4896/abce36.
Bayraktar, M.: "Propagation of hyperbolic sinusoidal Gaussian beams in uniaxial crystals orthogonal to the optical axis." Optik (2021a)
Bayraktar, M.: Propagation of partially coherent hyperbolic sinusoidal Gaussian beam in biological tissue (in English). Optik (2021b). 1016/j.ijleo.2021b.167741.
Ding, C.L., Korotkova, O., Li, D.L., Zhao, D.M., Pan, L.Z.: “Propagation of Gaussian Schell-model beams through a jet engine exhaust,” (in English). Opt. Express 28(2), 1037–1050 (2020)
Eyyuboglu, H.T.: “ Estimation of aperture averaged scintillations in weak turbulence regime for annular, sinusoidal and hyperbolic Gaussian beams using random phase screen,” (in English). Opt. Laser Technol. 52, 96–102 (2013). https://doi.org/10.1016/j.optlastec.2013.04.021
Eyyuboglu, H.T.: “Propagation analysis of Ince-Gaussian beams in turbulent atmosphere,” (in English). Appl. Optics. 53(11), 2290–2296 (2014). https://doi.org/10.1364/Ao.53.002290
Eyyuboglu, H.T.: “Per unit received power apertured averaged scintillation of partially coherent sinusoidal and hyperbolic Gaussian beams,” (in English). Opt. Laser Technol. 71, 55–62 (2015). https://doi.org/10.1016/j.optlastec.2015.03.001
Eyyuboglu, H.T., Ji, X.: “An analysis on radius of curvature aspects of hyperbolic and sinusoidal Gaussian beams,” (in English). Appl. Phys. B-Lasers O 101(1–2), 353–359 (2010). https://doi.org/10.1007/s00340-010-4039-1
Ghassemlooy, Z., Popoola, W., Rajbhandari, S.: Optical wireless communications: system and channel modelling with MATLAB®. CRC Press, 2017, p. 575.
Henriksson, M., Sjoqvist, L., Parmhed, O., Fureby, C.: “Numerical laser beam propagation using large eddy simulation of a jet engine flow field” (in English). Opt. Eng. 54(8), 1 (2015). https://doi.org/10.1117/1.Oe.54.8.085101
Henriksson, M., Sjöqvist, L., Seiffer, D., Wendelstein, N., Sucher, E.: “Laser beam propagation experiments along and across a jet engine plume” in technologies for optical countermeasures V. SPIE 10(1117/12), 799202 (2008)
Hogge, C.B., Visinsky, W.L.: Laser beam probing of jet exhaust turbulence. Appl. Optics. 10(4), 889–892 (1971)
Huang, Y.P., Wang, F.H., Gao, Z.H., Zhang, B.: “Propagation properties of partially coherent electromagnetic hyperbolic-sine-Gaussian vortex beams through non-Kolmogorov turbulence,” (in English). Opt. Express 23(2), 1088–1102 (2015). https://doi.org/10.1364/Oe.23.001088
Isterling, W.M., Cox, L.J., Dubovinsky, M., Titterton, D.H., Porter, T.: "Laser interaction with jet engine exhaust induced turbulence," In proceeding of 4th Australian conference Laser diagnostics fluid mechanics combustion, Adelaide (2005)
Sjöqvist, L.: "Laser beam propagation in jet engine plume environments: a review," in technologies for optical countermeasures V, United Kingdom, 2008: SPIE, https://doi.org/10.1117/12.803543.
Shen, S., Yang, Z.J., Guo, J.L., Wang, Y.J., Pang, Z.G.: “Propagation characteristics of astigmatic hyperbolic sinusoidal Gaussian beams in nonlocal nonlinear media” (in English). Optik (2020). https://doi.org/10.1016/j.ijleo.2020.165454
Sirazetdinov, V.S.: “Experimental study and numerical simulation of laser beams propagation through the turbulent aerojet,” (in English). Appl. Optics. 47(7), 975–985 (2008). https://doi.org/10.1364/Ao.47.000975
Sjoqvist, L.J., Gustafsson, O.K.S., Henriksson, M.: Laser beam propagation in close vicinity to a down scaled jet engine exhaust. Technol. Opt. Counter 10(1117/12), 578291 (2004)
Titterton, D.H.: A review of the development of optical countermeasures in technologies for optical countermeasures, United Kingdom 2004: SPIE, https://doi.org/10.1117/12.610112.
Xu, Y.Q., Zhou, G.Q.: “Propagation of ince-gaussian beams in uniaxial crystals orthogonal to the optical axis” (in English). Eur. Phys. J. D 66(3), 3 (2012). https://doi.org/10.1140/epjd/e2012-20603-x
Zhang, Y.Q., et al.: “Propagation properties of gaussian schell-model beam array in the jet engine exhaust induced turbulence” (in English). Ieee Photonics J. 12(6), 1 (2020). https://doi.org/10.1109/Jphot.2020.3037653
Funding
The authors have not disclosed any funding.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare there is no conflicts of interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bayraktar, M., Akın, B. & Işık, M.B. Propagation of hyperbolic sinusoidal Gaussian beam in jet engine induced turbulence. Opt Quant Electron 54, 516 (2022). https://doi.org/10.1007/s11082-022-03893-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-022-03893-4