Abstract
Coherent properties of vortex Bessel-Gaussian beams propagating in a turbulent atmosphere are theoretically studied based on the analytical solution of the equation for the transverse second-order mutual coherence function of optical radiation field. The behavior of coherence degree, coherence length, and integral scale of coherence degree of vortex Bessel-Gaussian beams depending on beam parameters and characteristics of the turbulent atmosphere is analyzed. It is shown that the coherence length and integral scale of coherence degree of a vortex Bessel-Gaussian beam essentially depend on the topological charge of the beam. When the topological charge of a vortex beam increases, additional decreases in the above parameters become less. The given effect is small under weak and strong fluctuations of optical radiation, and it is maximal in the transition region between them.
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References
W. Miller, Jr., Symmetry and Separation of Variables (Addison-Wesley Publ. Co., 1977).
D. L. Andrews, Structured Light and Its Applications: An Introduction to Phase-Structured Beams and Nanoscale Optical Forces (Academic Press, New York, 2008).
V. P. Aksenov and Ch. E. Pogutsa, “The effect of optical vortex on random Laguerre–Gauss shifts of a laser beam propagating in a turbulent atmosphere,” Atmos. Ocean. Opt. 26 (1), 13–17 (2013).
V.A. Banakh and A. V. Falits, “Turbulent broadening of Laguerre-Gaussian beam in the atmosphere,” Opt. Spectrosc. 117 (6), 942–948 (2014).
A. V. Falits, “The wander and optical scintillation of focused Laguerre–Gaussian beams in turbulent atmosphere,” Opt. Atmos. Okeana 28 (9), 763–771 (2015).
V. A. Banakh and L. O. Gerasimova, “Diffraction of short-pulse Laguerre–Gaussian beams,” Atmos. Ocean. Opt. 29 (5), 441–446 (2016).
D. A. Marakasov and D. S. Rychkov, “Estimate of the change in the effective beam width by the streamline method for axisymmetric laser beams in a turbulent atmosphere,” Atmos. Ocean. Opt. 29 (5), 447–451 (2016).
V. A. Banakh, L. O. Gerasimova, and A. V. Falits, “Statistics of pulsed Laguerre–Gaussian beams in the turbulent atmosphere,” Opt. Atmos. Okeana 29 (5), 369–376 (2016).
Ch. Xie, R. Giust, V. Jukna, L. Furfaro, M. Jacquot, P. Lacourt, L. Froehly, J. Dudley, A. Couairon, and F. Courvoisier, “Light trajectory in Bessel–Gauss vortex beams,” J. Opt. Soc. Am., A 32 (7), 1313–1316 (2015).
P. Birch, I. Ituen, R. Young, and Ch. Chatwin, “Longdistance Bessel beam propagation through Kolmogorov turbulence,” J. Opt. Soc. Am., A 32 (11), 2066–2073 (2015).
M. Cheng, L. Guo, J. Li, and Q. Huang, “Propagation properties of an optical vortex carried by a Bessel–Gaussian beam in anisotropic turbulence,” J. Opt. Soc. Am., A 33 (8), 1442–1450 (2016).
Sh. Chen, Sh. Li, Y. Zhao, J. Liu, L. Zhu, A. Wang, J. Du, L. Shen, J. Wang, “Demonstration of 20-Gbit/s high-speed Bessel beam encoding/decoding link with adaptive turbulence compensation,” Opt. Lett. 41 (20), 4680–4683 (2016).
Y. Zhang, D. Ma, X. Yuan, and Z. Zhou, “Numerical investigation of flat-topped vortex hollow beams and Bessel beams propagating in a turbulent atmosphere,” Appl. Opt. 55 (32), 9211–9216 (2016).
T. Doster and A. T. Watnik, “Laguerre–Gauss and Bessel–Gauss beams propagation through turbulence, Analysis of channel efficiency,” Appl. Opt. 55 (36), 10239–10246 (2016).
M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1970), 4th ed.
E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University Press, Cambridge, 2007).
G. Gbur and T. D. Visser, “The structure of partially coherent fields,” Prog. Opt. 55, 285–341 (2010).
G. V. Bogatyryova, Ch. V. Fel’de, P. V. Polyanskii, S. A. Ponomarenko, M. S. Soskin, and E. Wolf, “Partially coherent vortex beams with a separable phase,” Opt. Lett. 28 (11), 878–880 (2003).
G. Gbur and T. D. Visser, “Coherence vortices in partially coherent beams,” Opt. Commun. 222 (1-6), 117–125 (2003).
G. Gbur, T. D. Visser, and E. Wolf, “Hidden” singularities in partially coherent wavefields,” J. Opt. A, Pure Appl. Opt. 6 (5), 239–S242 (2004).
I. D. Maleev, D. M. Palacios, A. S. Marathay, and G. A. Swartzlander, “Spatial correlation vortices in partially coherent light: Theory,” J. Opt. Soc. Am. 21 (11), 1895–1900.
Ch. Ding, L. Pan, and B. Lu, “Phase singularities and spectral changes of spectrally partially coherent higherorder Bessel–Gauss pulsed beams,” J. Opt. Soc. Am., A 26 (12), 2654–2661 (2009).
H. T. Eyyuboglu, Y. Baykal, and Y. Cai, “Complex degree of coherence for partially coherent general beams in atmospheric turbulence,” J. Opt. Soc. Amer., A 24 (9), 2891–2901 (2007).
R. Martinez-Herrero and A. Manjavacas, “Overall second-order parametric characterization of light beams propagating through spiral phase elements,” Opt. Commun. 282 (4), 473–477 (2009).
R. Borghi, M. Santarsiero, and F. Gori, “Axial intensity of apertured Bessel beams,” J. Opt. Soc. Am., A 14 (1), 23–26 (1997).
B. Chen, Z. Chen, and J. Pu, “Propagation of partially coherent Bessel–Gaussian beams in turbulent atmosphere,” Opt. Laser Technol. 40 (6), 820–827 (2008).
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).
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Original Russian Text © I.P. Lukin, 2017, published in Optika Atmosfery i Okeana.
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Lukin, I.P. Coherence of Bessel-Gaussian Beams Propagating in a Turbulent Atmosphere. Atmos Ocean Opt 31, 49–59 (2018). https://doi.org/10.1134/S1024856018010098
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DOI: https://doi.org/10.1134/S1024856018010098