Atmospheric and Oceanic Optics

, Volume 29, Issue 5, pp 447–451 | Cite as

Estimate of the change in the effective beam width by the streamline method for axisymmetric laser beams in a turbulent atmosphere

  • D. A. MarakasovEmail author
  • D. S. Rychkov
Optics of Stochastically-Heterogeneous Media


Results of studying how the initial distribution of the laser beam field affects the change in the effective width of the beam in the process of its propagation in a turbulent atmosphere are presented. The investigations are carried out using the method of streamlines of the average Poynting vector for axisymmetric light beams. The effective beam width in the receiving plane is studied depending on the shape of the initial intensity distribution and presence of the phase dislocation in the initial field. It is shown that parameters of ring and vortex beams can be chosen such that their effective width in the receiving plane will be less than for a Gaussian beam with the same initial effective width in the process of laser radiation propagation in a turbulent atmosphere.


turbulence effective beam width streamlines mutual coherence function 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics. Random Fields (Nauka, Moscow, 1978) [in Russian].zbMATHGoogle Scholar
  2. 2.
    V. P. Aksenov, V. A. Banakh, V. V. Valuev, V. E. Zuev, V. V. Morozov, I. N. Smalikho, and R. Sh. Tsvyk, High-Power Laser Beams in a Randomly Inhomogeneous Atmosphere, Ed. by V. A. Banakh (Publishing House of SB RAS, Novosibirsk, 1998) [in Russian].Google Scholar
  3. 3.
    V. A. Banakh and I. N. Smalikho, “Random shifts of laser beams in a turbulent atmosphere under thermal blooming,” Opt. Atmos. Okeana 1 9, 32–37 (1988).Google Scholar
  4. 4.
    V. A. Banakh and A. V. Falits, “Numerical simulation of propagation of laser beams formed by multielement apertures in a turbulent atmosphere under thermal blooming,” Atmos. Ocean. Opt. 26 6, 455–465 (2013).CrossRefGoogle Scholar
  5. 5.
    I. P. Lukin, “Stability of coherent vortex Bessel beams during propagation in turbulent atmosphere,” Opt. Atmos. Okeana 27 5, 367–374 (2014).Google Scholar
  6. 6.
    A. V. Falits, “The wander and optical scintillation of focused Laguerre–Gaussian beams in turbulent atmosphere,” Opt. Atmos. Okeana 28 9, 763–771 (2015).Google Scholar
  7. 7.
    H. T. Eyyuboglu, “Hermite-cosine-Gaussian laser beam and its propagation characteristics in turbulent atmosphere,” J. Opt. Soc. Am., A 22, 1527–1535 (2005).ADSCrossRefGoogle Scholar
  8. 8.
    K. Zhu, G. Zhou, X. Li, X. Zheng, and H. Tang, “Propagation of Bessel–Gaussian beams with optical vortices in turbulent atmosphere,” Opt. Express 16 26, 21315–21320 (2008).ADSCrossRefGoogle Scholar
  9. 9.
    V. P. Lukin, P. A. Konyaev, and V. A. Sennikov, “Beam spreading of vortex beams propagating in turbulent atmosphere,” Appl. Opt. 51 (10), C84–C87 (2012).CrossRefGoogle Scholar
  10. 10.
    Y. Cai, X. Lu, and Q. Lin, “Hollow Gaussian beams and their propagation properties,” Opt. Lett. 28 13, 1084–1086 (2003).ADSCrossRefGoogle Scholar
  11. 11.
    V. A. Banakh, D. A. Marakasov, D. S. Rytchkov, Y. K. Baykal, and H. T. Eyyuboglu, “Method of evaluation of the mutual coherence function of laser beams and its application for symmetric dark hollow beams,” Proc. SPIE 7924, 792406 (2011).CrossRefGoogle Scholar
  12. 12.
    V. A. Banakh and A. V. Falits, “Turbulent broadening of Laguerre–Gaussian beam in the atmosphere,” Opt. Spectrosc. 117 6, 936–941 (2014).ADSCrossRefGoogle Scholar
  13. 13.
    L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, 2005), 2nd ed.CrossRefGoogle Scholar
  14. 14.
    V. P. Aksenov and C. E. Pogutsa, “Increase in laser beam resistance to random inhomogeneities of atmospheric permittivity with an optical vortex included in the beam structure,” Appl. Opt. 51 30, 7262–7267 (2012).ADSCrossRefGoogle Scholar
  15. 15.
    M. Abramovits and I. A. Stigan, Handbook of Mathematical Functions (Nauka, Moscow, 1979) [in Russian].Google Scholar
  16. 16.
    V. L. Mironov, Laser Beam Propagation in a Turbulent Atmosphere (Nauka, Novosibirsk, 1981) [in Russian].Google Scholar
  17. 17.
    D. S. Rychkov and D. A. Marakasov, “Method for construction of current lines of the mean energy flow vector of a vortex beam in a turbulent atmosphere,” Izv. Vyssh. Uchebn. Zaved. Fiz. 53 (9–3) (2010).Google Scholar
  18. 18.
    D. S. Rychkov and D. A. Marakasov, RF Certificate of State Registration of Computer Code no. 618254 (2012).Google Scholar
  19. 19.
    D. A. Marakasov and D. S. Rychkov, “Method of evaluation of mutual coherence function of an optical wave propagating in turbulent atmosphere,” Opt. Atmos. Okeana 23 9, 761–767 (2010).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.V.E. Zuev Institute of Atmospheric Optics, Siberian BranchRussian Academy of SciencesTomskRussia

Personalised recommendations