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Effects of inner and outer scale on beam spreading for a Gaussian wave propagating through anisotropic non-Kolmogorov turbulence

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Języki publikacji
EN
Abstrakty
EN
Experimental results and empirical research have shown that atmospheric turbulence can present the anisotropic property not only at a few meters above the ground but also at high altitudes of up to several kilometers. This paper investigates beam spreading for a Gaussian wave propagating along a horizontal path in weak anisotropic non-Kolmogorov turbulence. Mathematical expressions for the long-term beam spreading radius were obtained based on the generalized von Kármán spectrum for anisotropic turbulence. The final model includes an anisotropic factor, which parameterizes the asymmetry of a turbulence cell, the spectral power law for non-Kolmogorov turbulence, the inner and outer scale of turbulence, and other essential optical parameters of a Gaussian wave. Numerical simulations indicate that the long-term beam spreading radius decreases with an increase in the anisotropic factor. We also analyze how the geometrical optics approximation may cause large errors for a small spectral power law value.
Czasopismo
Rocznik
Strony
63--74
Opis fizyczny
Bibliogr. 20 poz., rys.
Twórcy
autor
  • School of Astronautics and Aeronautic, University of Electronic Science and Technology of China, 2006 Xiyuan Avenue, 611731 Chengdu, China
autor
  • School of Astronautics and Aeronautic, University of Electronic Science and Technology of China, 2006 Xiyuan Avenue, 611731 Chengdu, China
Bibliografia
  • [1] ANDREWS L.C., PHILLIPS R.L., Laser-Beam Propagation through Random Media, 2nd Ed., SPIE Optical Engineering Press, Bellingham, 2005.
  • [2] JUN ZENG, JINHONG LI, Dynamic evolution and classification of coherent vortices in atmospheric turbulence, Optica Applicata 45(3) 2015, pp. 299–308.
  • [3] GUOHUA WU, BIN LUO, SONG YU, ANHONG DANG, TONGGANG ZHAO, HONG GUO, Effects of coherence and polarization on the beam spreading and direction through atmospheric turbulence, Optics Communications 284(19), 2011, pp. 4275–4278.
  • [4] WENHE DU, HENGJUN ZHU, DAOSEN LIU, ZHONGMIN YAO, CHENGJIANG CAI, XIUFENG DU, RUIBO AI, Effect of non-Kolmogorov turbulence on beam spreading in satellite laser communication, Journal of Russian Laser Research 33(5), 2012, pp. 456–463.
  • [5] KOLMOGOROV A.N., The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Proceedings of the Royal Society A 434(1890), 191, pp. 9–13.
  • [6] TOSELLI I., ANDREWS L.C., PHILLIPS R.L., FERRERO V., Free-space optical system performance for laser beam propagation through non-Kolmogorov turbulence, Optical Engineering 47(2), 2008.
  • [7] CHAO GAO, YANG LI, YIMING LI, XIAOFENG LI, Irradiance scintillation index for a Gaussian beam based on the generalized modified atmospheric spectrum with aperture averaged, International Journal of Optics, Vol. 2016, 2016.
  • [8] CONSORTINI A.A., RONCHI L., STEFANUTTI L., Investigation of atmospheric turbulence by narrow laser beams, Applied Optics 9(11), 1970, pp. 2543–2547.
  • [9] DALAUDIER F., SIDI C., CROCHET M., VERNIN J., Direct evidence of “sheets” in the atmospheric temperature field, Journal of the Atmospheric Sciences 51(2), 1994, pp. 237–248.
  • [10] TOSELLI I., AGRAWAL B., RESTAINO S., Light propagation through anisotropic turbulence, Journal of the Optical Society of America A 28(3), 2011, pp. 483–488.
  • [11] TOSELLI I., Introducing the concept of anisotropy at different scales for modeling optical turbulence, Journal of the Optical Society of America A 31(8), 2014, pp. 1868–1875.
  • [12] ANDREWS L.C., PHILLIPS R.L., CRABBS R., Propagation of a Gaussian-beam wave in general anisotropic turbulence, Proceedings of SPIE 9224, 2014.
  • [13] TOSELLI I., KOROTKOVA O., General scale-dependent anisotropic turbulence and its impact on free space optical communication system performance, Journal of the Optical Society of America A 32(6), 2015, pp. 1017–1025.
  • [14] TOSELLI I., KOROTKOVA O., Spread and wander of a laser beam propagating through anisotropic turbulence, Proceedings of SPIE 9614, 2015.
  • [15] FEINAN CHEN, JINGJING CHEN, QI ZHAO, YANRU CHEN, YU XIN, JIA LI, HUA PAN, Spectral degrees of cross-polarization of stochastic anisotropic electromagnetic beams in modified non-Kolmogorov atmospheric turbulence, Optica Applicata 43(4), 2013, pp. 773–783.
  • [16] LINYAN CUI, BINDANG XUE, FUGEN ZHOU, Generalized anisotropic turbulence spectra and applications in the optical waves’ propagation through anisotropic turbulence, Optics Express 23(23), 2015, pp. 30088–30103.
  • [17] CHAO GAO, LINGLING SU, WANKE YU, Long-term spreading of Gaussian beam using generalized modified atmospheric spectrum, The 12th IEEE International Conference on Mechatronics and Automation, August 2–5, 2015, Beijing, China, IEEE, pp. 2375–2380.
  • [18] OLVER F.W.J., LOZIER D.W.L., BOISVERT R.F., CLARK C.W., NIST Handbook of Mathematical Functions, Cambridge University Press, New York, 2010.
  • [19] ERDELYI A., MAGNUS W., OBERHETTINGER F., Tables of Integral Transforms, McGraw-Hill, New York, 1954.
  • [20] GRADSHTEYN I.S., RYZHIK I.M., Table of Integrals, Series, and Products, 8th Ed., Academic Press, Waltham, 2014.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5525eaea-a18a-46c1-b99d-276d84c928d5
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