1. Kolmogorov, A. N., "The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers," Doklady Akademiia Nauk SSSR, Vol. 30, No. 3=4, 301-305, 1941. Google Scholar
2. Tatarskii, V. I., Wave Propagation in a Turbulent Medium, McGraw-Hill, 1961.
3. Chernov, L. A., Wave Propagation in a Random Medium, McGraw-Hill, 1960.
4. Beran, M. J., "Propagations of a finite beam in a random medium," J. Opt. Soc. Am., Vol. 60, No. 4, 518-521, 1970. Google Scholar
5. Fante, R. L., "Mutual coherence function and frequency spectrum of a laser beam propagating through atmospheric turbulence," J. Opt. Soc. Am., Vol. 64, No. 5, 592-598, 1974. Google Scholar
6. Brown, W. P., "Second moment of a wave propagating in a random medium," J. Opt. Soc. Am., Vol. 61, No. 8, 1051-1059, 1971. Google Scholar
7. Lutomirski, R. F. and H. T. Yura, "Propagation of a finite optical beam in an inhomogeneous medium," Appl. Opt., Vol. 10, No. 7, 1652-1658, 1971. Google Scholar
8. Yura, H. T., "Mutual coherence function of a finite cross section optical beam propagating in a turbulent medium," Appl. Opt., Vol. 11, No. 6, 1399-1406, 1972. Google Scholar
9. Feizulin, Z. I. and Y. A. Kravtsov, "Broadening of a laser beam in a turbulent medium," Radiophys. Quantum Electron., Vol. 10, No. 1, 33-35, 1967. Google Scholar
10. Kon, A. I. and V. I. Tatarskii, "On the theory of the propagation of partially coherent light beams in a turbulent atmosphere," Radiophys. Quantum Electron., Vol. 15, No. 10, 1187-1192, 1972. Google Scholar
11. Leader, J. C., "Atmospheric propagation of partially coherent radiation," J. Opt. Soc. Am., Vol. 68, No. 2, 175-185, 1978. Google Scholar
12. Wang, S. C. H. and M. A. Plonus, "Optical beam propagation for a partially coherent source in the turbulent atmosphere," J. Opt. Soc. Am., Vol. 69, No. 9, 1297-1304, 1979. Google Scholar
13. Leader, J. C., "Intensity fluctuations resulting from partially coherent light propagating through atmospheric turbulence," J. Opt. Soc. Am., Vol. 69, No. 1, 73-84, 1979. Google Scholar
14. Leader, J. C., "Beam-intensity fluctuations in atmospheric turbulence," J. Opt. Soc. Am., Vol. 71, No. 5, 542-558, 1981. Google Scholar
15. Fante, R. L., "The effect of source temporal coherence on light scintillations in weak turbulence," J. Opt. Soc. Am., Vol. 69, No. 1, 71-73, 1979. Google Scholar
16. Banach, V. A., V. M. Buldakov, and V. L. Mironov, "Intensity fluctuations of the partially coherent light-beam in a turbulent atmosphere," Opt. Spectrosc., Vol. 54, No. 6, 1054-1059, 1983. Google Scholar
17. Banakh, V. A. and V. M. Buldakov, "Effect of the initial degree of light-beam spatial coherence on intensity fluctuations in turbulent atmospheres," Opt. Spectrosc., Vol. 55, No. 4, 707-712, 1983. Google Scholar
18. Wang, S. J., Y. Baykal, and M. A. Plonus, "Receiver-aperture averaging effects for the intensity fluctuation of a beam wave in the turbulent atmosphere," J. Opt. Soc. Am., Vol. 73, No. 6, 831-837, 1983. Google Scholar
19. Wu, J., "Propagation of a Gaussian-Schell beam through turbulent media," J. Mod. Opt., Vol. 37, No. 4, 671-684, 1990. Google Scholar
20. Wu, J. and A. D. Boardman, "Coherence length of a Gaussian-Schell beam and atmospheric turbulence," J. Mod. Opt., Vol. 38, No. 7, 1355-1363, 1991. Google Scholar
21. Cai, Y. and S. He, "Propagation of various dark hollow beams in a turbulent atmosphere," Opt. Express, Vol. 14, No. 4, 1353-1367, 2006. Google Scholar
22. Cai, Y., "Propagation of various flat-topped beams in a turbulent atmosphere," J. Opt. A, Vol. 8, No. 6, 537-545, 2006. Google Scholar
23. Cai, Y. and S. He, "Average intensity and spreading of an elliptical Gaussian beam propagating in a turbulent atmosphere," Opt. Lett., Vol. 31, No. 5, 568-570, 2006. Google Scholar
24. Young, C. Y., Y. V. Gilchrest, and B. R. Macon, "Turbulence induced beam spreading of higher order mode optical waves," Opt. Eng., Vol. 41, No. 5, 1097-1103, 2002. Google Scholar
25. Eyyuboglu, H. T., "Propagation of higher order Bessel-Gaussian beams in turbulence," Appl. Phys. B, Vol. 88, No. 2, 259-265, 2007. Google Scholar
26. Chu, X., "Evolution of an Airy beam in turbulence," Opt. Lett., Vol. 36, No. 14, 2701-2703, 2011. Google Scholar
27. Cai, Y., Y. Chen, H. T. Eyyuboglu, and Y. Baykal, "Propagation of laser array beams in a turbulent atmosphere," Appl. Phys. B, Vol. 88, No. 3, 467-475, 2007. Google Scholar
28. Zhou, P., X. Wang, Y. Ma, H. Ma, X. Xu, and Z. Liu, "Propagation property of a nonuniformly polarized beam array in turbulent atmosphere," Appl. Opt., Vol. 50, No. 9, 1234-1239, 2011. Google Scholar
29. Chen, C., H. Yang, M. Kavehrad, and Z. Zhou, "Propagation of radial Airy array beams through atmospheric turbulence," Optics and Lasers in Engineering, Vol. 52, 106-114, 2014. Google Scholar
30. Ji, X. and Z. Pu, "Effective Rayleigh range of Gaussian array beams propagating through atmospheric turbulence," Opt. Commun., Vol. 283, No. 20, 3884-3890, 2010. Google Scholar
31. Yuan, Y., Y. Cai, Q. Jun, H. T. Eyyuboglu, and Y. Baykal, "Average intensity and spreading of an elegant Hermite-Gaussian beam in turbulent atmosphere," Opt. Express, Vol. 17, No. 13, 11130-11139, 2009. Google Scholar
32. Eyyuboglu, H. T. and Y. Baykal, "Average intensity and spreading of cosh-Gaussian beams in turbulent atmosphere," Appl. Opt., Vol. 44, No. 6, 976-983, 2005. Google Scholar
33. Qu, J., Y. Zhong, Z. Cui, and Y. Cai, "Elegant Laguerre-Gaussian beam in a turbulent atmosphere," Opt. Commun., Vol. 283, No. 14, 2772-2781, 2010. Google Scholar
34. Zhou, P., X. Wang, Y. Ma, H. Ma, X. Xu, and Z. Liu, "Average intensity and spreading of a Lorentz beam propagating in a turbulent atmosphere," J. Opt., Vol. 12, No. 1, 015409, 2010. Google Scholar
35. Wang, T., J. Pu, and Z. Chen, "Beam spreading and topological charge of vortex beams propagating in a turbulent atmosphere," Opt. Commun., Vol. 282, No. 7, 1255-1259, 2009. Google Scholar
36. Ji, X. and X. Li, "Propagation properties of apertured laser beams with amplitude modulations and phase fluctuations through atmospheric turbulence," Appl. Phys. B, Vol. 104, No. 1, 207-213, 2011. Google Scholar
37. Aksenov, V. P., F. Y. Kanev, and C. E. Pogutsa, "Spatial coherence, mean wave tilt, and mean local wave-propagation vector of a Laguerre-Gaussian beam passing through a random phase screen," Atmospheric and Oceanic Optics, Vol. 23, No. 5, 344-352, 2010. Google Scholar
38. Valerii, A. P. and C. E. Pogutsa, "Optical Scully vortex and its spatial evolution," Appl. Opt., Vol. 51, No. 10, 140-143, 2012. Google Scholar
39. Vorontsov, M. and V. Kolosov, "Target-in-the-loop beam control: Basic considerations for analysis and wave-front sensing," J. Opt. Soc. Am., Vol. 22, No. 1, 126-141, 2005. Google Scholar
40. Mikhail, V. A., V. Kolosov, and E. Polnau, "Target-in-the-loop wavefront sensing and control with a Collett-Wolf beacon: Speckle-average phase conjugation," Appl. Opt., Vol. 48, No. 1, 13-29, 2009. Google Scholar
41. Gbur, G. and E. Wolf, "Spreading of partially coherent beams in random media," J. Opt. Soc. Am. A, Vol. 19, No. 8, 1592-1598, 2002. Google Scholar
42. Dogariu, A. and S. Amarande, "Propagation of partially coherent beams: Turbulence-induced degradation," Opt. Lett., Vol. 28, No. 1, 10-12, 2003. Google Scholar
43. Shirai, T., A. Dogariu, and E. Wolf, "Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 20, No. 6, 1094-1102, 2003. Google Scholar
44. Ricklin, J. C. and F. M. Davidson, "Atmospheric turbulence effects on a partially coherent Gaussian beam: Implications for free-space laser communication," J. Opt. Soc. Am. A, Vol. 19, No. 9, 1794-1802, 2002. Google Scholar
45. Ricklin, J. C. and F. M. Davidson, "Atmospheric optical communication with a Gaussian-Schell beams," J. Opt. Soc. Am. A, Vol. 20, No. 5, 856-866, 2003. Google Scholar
46. Eyyuboglu, H. T., Y. Baykal, and Y. Cai, "Complex degree of coherence for partially coherent general beams in atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 24, No. 9, 2891-2901, 2007. Google Scholar
47. Wang, D., F. Wang, Y. Cai, and J. Chen, "Evolution properties of the complex degree of coherence of a partially coherent Laguerre-Gaussian beam in turbulent atmosphere," J. Mod. Opt., Vol. 59, No. 4, 372-380, 2012. Google Scholar
48. Ji, X. and X. Li, "Effective radius of curvature of partially coherent Hermite-Gaussian beams propagating through atmospheric turbulence," J. Opt., Vol. 12, No. 3, 035403, 2010. Google Scholar
49. Wang, F., Y. Cai, H. T. Eyyuboglu, and Y. Baykal, "Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere," Progress In Electromagnetics Research, Vol. 103, 33-56, 2010. Google Scholar
50. Aksenov, V. P., F. Y. Kanev, and C. E. Pogutsa, "Mean energy distribution and averaged pattern of optical vortices of a partially coherent light beam propagating in a randomly inhomogeneous atmosphere," Proc. SPIE, Vol. 7388, 738807, 2009. Google Scholar
51. Yang, A., E. Zhang, X. Ji, and B. Lu, "Angular spread of partially coherent Hermite-cosh-Gaussian beams propagating through atmospheric turbulence," Opt. Express, Vol. 16, No. 12, 8366-8380, 2008. Google Scholar
52. Li, J., A. Yang, and B. Lu, "Comparative study of the beam-width spreading of partially coherent Hermite-sinh-Gaussian beams in atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 25, No. 11, 2670-2679, 2008. Google Scholar
53. Wang, F., Y. Cai, H. T. Eyyuboglu, and Y. Baykal, "Partially coherent elegant Hermite-Gaussian beam in turbulent atmosphere," Appl. Phys. B, Vol. 103, No. 2, 461-469, 2011. Google Scholar
54. Alavinejad, M., M. Khatiri, and B. Ghafary, "Transmittance of partially coherent flat topped beam with circular and elliptical symmetry in turbulence," Opt. Commun., Vol. 282, No. 17, 3541-3546, 2009. Google Scholar
55. Alavinejad, M. and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Optics and Lasers in Engineering, Vol. 46, No. 5, 357-362, 2008. Google Scholar
56. Wang, H. and X. Li, "Propagation of partially coherent controllable dark hollow beams with various symmetries in turbulent atmosphere," Optics and Lasers in Engineering, Vol. 48, No. 1, 48-57, 2010. Google Scholar
57. Yuan, Y., Y. Cai, J. Qu, H. T. Eyyuboglu, Y. Baykal, and O. Korotkova, "M2-factor of coherent and partially coherent dark hollow beams propagating in turbulent atmosphere," Opt. Express, Vol. 17, No. 20, 17344-17356, 2009. Google Scholar
58. Salem, M., O. Korotkova, A. Dogariu, and E. Wolf, "Polarization changes in partially coherent electromagnetic beams propagating through turbulent atmosphere," Waves in Random Media, Vol. 14, No. 4, 513-523, 2004. Google Scholar
59. Korotkova, O., M. Salem, A. Dogariu, and E. Wolf, "Changes in polarization ellipse of random electromagnetic beams propagating through the turbulent atmosphere," Waves in Random and Complex Media, Vol. 15, No. 3, 353-364, 2005. Google Scholar
60. Korotkova, O., M. Salem, and E. Wolf, "The far-zone behavior of the degree of polarization electromagnetic beams propagating through atmospheric turbulence," Opt. Commun., Vol. 233, No. 4-6, 225-230, 2004. Google Scholar
61. Du, X., D. Zhao, and O. Korotkova, "Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere," Opt. Express, Vol. 15, No. 25, 16909-16915, 2007. Google Scholar
62. Wu, G., B. Luo, S. Yu, A. Dang, and H. Guo, "The propagation of electromagnetic Gaussian-Schell model beams through atmospheric turbulence in a slanted path," J. Opt., Vol. 13, No. 3, 035706, 2011. Google Scholar
63. Lu, W., L. Liu, J. Sun, Q. Yang, and Y. Zhu, "Change in degree of coherence of partially coherent electromagnetic beams propagating through atmospheric turbulence," Opt. Commun., Vol. 271, No. 1, 1-8, 2007. Google Scholar
64. Zhu, Y. and D. Zhao, "Propagation of a stochastic electromagnetic Gaussian Schell-model beam through an optical system in turbulent atmosphere," Appl. Phys. B, Vol. 96, No. 1, 155-160, 2009. Google Scholar
65. Cai, Y., O. Korotkova, H. T. Eyyuboglu, and Y. Baykal, "Active laser radar systems with stochastic electromagnetic beams in turbulent atmosphere," Opt. Express, Vol. 16, No. 20, 15834-15846, 2008. Google Scholar
66. Roychowdhury, H., S. A. Ponomarenko, and E. Wolf, "Change in the polarization of partially coherent electromagnetic beams propagating through the turbulent atmosphere," J. Mod. Opt., Vol. 52, No. 11, 1611-1618, 2005. Google Scholar
67. Chen, Z. and J. Pu, "Propagation characteristics of aberrant stochastic electromagnetic beams in a turbulent atmosphere," J. Opt. A, Vol. 9, No. 12, 1123-1130, 2007. Google Scholar
68. Wang, H., D. Liu, and Z. Zhou, "The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere," Appl. Phys. B, Vol. 101, No. 1-2, 361-369, 2010. Google Scholar
69. Chen, R., Y. Dong, F. Wang, and Y. Cai, "Statistical properties of a cylindrical vector partially coherent beam in turbulent atmosphere," Appl. Phys. B, Vol. 112, No. 2, 247-259, 2013. Google Scholar
70. Banakh, V. A., G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. S. Tsvik, "Focused-laser-beam scintillations in the turbulent atmosphere," J. Opt. Soc. Am., Vol. 64, No. 4, 516-518, 1974. Google Scholar
71. Banakh, V. A. and V. L. Mironov, "Phase approximation of the Huygens-Kirchhoff method in problems of laser-beam propagation in the turbulent atmosphere," Opt. Lett., Vol. 1, No. 5, 172-174, 1977. Google Scholar
72. Andrews, L. C. and R. L. Phillips, Laser Beam Propagation through Random Media, SPIE, 1998.
73. Lin, Q. and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian-Schell model beams," Opt. Lett., Vol. 27, No. 4, 216-218, 2002. Google Scholar
74. Cai, Y. and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett., Vol. 89, No. 4, 041117, 2006. Google Scholar
75. Simon, R., E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: Passage through optical systems and associated invariants," Phys. Rev. A, Vol. 31, No. 4, 2419-2434, 1985. Google Scholar
76. Serna, J., R. Martinez-Herrero, and P. M. Mejias, "Parametric characterization of general partially coherent beams propagating through ABCD optical system," J. Opt. Soc. Am. A, Vol. 8, No. 7, 1094-1098, 1991. Google Scholar
77. Dan, Y. and B. Zhang, "Second moments of partially coherent beams in atmospheric turbulence," Opt. Lett., Vol. 34, No. 5, 563-565, 2009. Google Scholar
78. Wang, F. and Y. Cai, "Second-order statistics of a twisted Gaussian Schell-model beam in turbulent atmosphere," Opt. Express, Vol. 18, No. 24, 24661-–24672, 2010. Google Scholar
79. Dan, Y. and B. Zhang, "Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere," Opt. Express, Vol. 16, No. 20, 15563-15575, 2008. Google Scholar
80. Baykal, Y. and H. T. Eyyuboglu, "Scintillation index of flat-topped Gaussian beams," Appl. Opt.,, Vol. 45, No. 16, 3793-3797, 2006. Google Scholar
81. Peleg, A. and J. V. Moloney, "Scintillation index for two Gaussian laser beams with different wavelengths in weak atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 23, No. 12, 3114-3122, 2006. Google Scholar
82. Eyyuboglu, H. T. and Y. Baykal, "Scintillations of cos-Gaussian and annular beams," J. Opt. Soc. Am. A, Vol. 24, No. 1, 156-162, 2007. Google Scholar
83. Tang, H., X. Yuan, and B. Wang, "Scintillation optimization of linear Gaussian beam array propagating through weak turbulence," J. Mod. Opt., Vol. 60, No. 20, 1830-1837, 2013. Google Scholar
84. Gu, Y. and G. Gbur, "Scintillation of Airy beam arrays in atmospheric turbulence," Opt. Lett., Vol. 35, No. 20, 3456-3458, 2010. Google Scholar
85. Gu, Y., O. Korotkova, and G. Gbur, "Scintillation of nonuniformly polarized beams in atmospheric turbulence," Opt. Lett., Vol. 34, No. 15, 2261-2263, 2009. Google Scholar
86. Chen, Y., Y. Cai, H. T. Eyyuboglu, and Y. Baykal, "Scintillation properties of dark hollow beams in a weak turbulent atmosphere," Appl. Phys. B, Vol. 90, No. 1, 87-92, 2008. Google Scholar
87. Cai, Y., Y. Chen, H. T. Eyyuboglu, and Y. Baykal, "Scintillation index of elliptical Gaussian beam in turbulent atmosphere," Opt. Lett., Vol. 32, No. 16, 2405-2407, 2007. Google Scholar
88. Polynkin, P., A. Peleg, L. Klein, and T. Rhoadarmer, "Optimized multiemitter beams for free-space optical communications through turbulent atmosphere," Opt. Lett., Vol. 32, No. 8, 885-887, 2007. Google Scholar
89. Chen, Z., C. Li, P. Ding, J. Pu, and D. Zhao, "Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence," Appl. Phys. B, Vol. 107, No. 2, 469-472, 2012. Google Scholar
90. Baykal, Y., H. T. Eyyuboglu, and Y. Cai, "Scintillations of partially coherent multiple Gaussian beams in turbulence," Appl. Opt., Vol. 48, No. 10, 1943-1954, 2009. Google Scholar
91. Wang, F., Y. Cai, H. T. Eyyuboglu, and Y. Baykal, "Twist phase-induced reduction in scintillation of a partially coherent beam in turbulent atmosphere," Opt. Lett., Vol. 37, No. 2, 184-186, 2012. Google Scholar
92. Korotkova, O., L. C. Andrews, and R. L. Phillips, "Model for a partially coherent Gaussian beam in atmospheric turbulence with application in lasercom," Opt. Eng., Vol. 43, No. 2, 330-341, 2004. Google Scholar
93. Korotkova, O., "Scintillation index of a stochastic electromagnetic beam propagating in random media," Opt. Commun., Vol. 281, No. 9, 2342-2348, 2008. Google Scholar
94. Berman, G. P. and A. A. Chumak, "Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere," Phys. Rev. A, Vol. 71, No. 1, 013805, 2006. Google Scholar
95. Wang, F., X. Liu, L. Liu, Y. Yuan, and Y. Cai, "Experimental study of the scintillation index of a radially polarized beam with controllable spatial coherence," Appl. Phys. Lett., Vol. 103, No. 9, 091102, 2013. Google Scholar
96. Liu, X., Y. Shen, L. Liu, F. Wang, and Y. Cai, "Experimental demonstration of vortex phase-induced reduction in scintillation of a partially coherent beam," Opt. Lett., Vol. 38, No. 24, 5323-5326, 2013. Google Scholar
97. Chen, Z., S. Cui, L. Zhang, C. Sun, M. Xiong, and J. Pu, "Measuring the intensity fluctuation of partially coherent radially polarized beams in atmospheric turbulence," Opt. Express, Vol. 22, No. 15, 18278-18283, 2014. Google Scholar
98. Avramov-Zamurovic, S., C. Nelson, R. Malek-Madani, and O. Korotkova, "Polarization-induced reduction in scintillation of optical beams propagating in simulated turbulent atmospheric channels," Wav. Ran. Med., Vol. 24, No. 4, 452-462, 2014. Google Scholar
99. Korotkova, O., S. Avramov-Zamurovic, C. Nelson, R. Malek-Madani, Y. Gu, and G. Gbur, "Scintillation reduction in multi-Gaussian Schell-model beams propagating in atmospheric turbulence," Proc. of SPIE, Vol. 9224, 92240M, 2014. Google Scholar
100. Chernov, L. A., Wave Propagation in a Random Medium, Dover, New York, 1967.
101. Beckmann, P., "Signal degeneration in laser beams propagated through a turbulent atmosphere," Radio Sci., Vol. 69D, No. 4, 629-640, 1965. Google Scholar
102. Chiba, T., "Spot dancing of the Laser beam propagated through the atmosphere," Appl. Opt., Vol. 10, No. 11, 2456-2461, 1971. Google Scholar
103. Churnside, J. H. and R. J. Lataitis, "Wander of an optical beam in the turbulent atmosphere," Appl. Opt., Vol. 29, No. 7, 928-930, 1990. Google Scholar
104. Klyatskin, V. I. and A. I. Kon, "On the displacement of spatially bounded light beams in a turbulent medium in the Markovian-random-process approximation," Radio, Quan. Electron., Vol. 15, No. 9, 1056-1061, 1972. Google Scholar
105. Mironov, V. L. and V. V. Nosov, "On the theory of spatially limited light beam displacements in a randomly inhomogeneous medium," J. Opt. Soc. Am., Vol. 67, No. 8, 1073-1080, 1977. Google Scholar
106. Andrews, L. C., R. L. Phillips, R. J. Sasiela, and R. Parenti, "Beam wander effects on the scintillation index of a focused beam," Proc. of SPIE, Vol. 5793, 2005. Google Scholar
107. Tofsted, D. H., "Outer-scale effects on beam-wander and angle-of-arrival variances," Appl. Opt., Vol. 31, No. 27, 5865-5870, 1992. Google Scholar
108. Eyyuboglu, H. T. and C. Z. Cil, "Beam wander of dark hollow, flat-topped and annular beams," Appl. Phys. B, Vol. 93, No. 2-3, 595-604, 2008. Google Scholar
109. Cil, C. Z., H. T. Eyyuboglu, Y. Baykal, and Y. Cai, "Beam wander characteristics of cos and cosh-Gaussian beams," Appl. Phys. B, Vol. 95, No. 4, 763-771, 2009. Google Scholar
110. Cil, C. Z., H. T. Eyyuboglu, Y. Baykal, O. Korotkova, and Y. Cai, "Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere," Appl. Phys. B, Vol. 98, No. 1, 195-202, 2010. Google Scholar
111. Aksenov, V. P., V. V. Kolosov, and C. E. Pogutsa, "The influence of the vortex phase on the random wandering of a Laguerre-Gaussian beam propagating in a turbulent atmosphere: A numerical experiment," J. Opt., Vol. 15, No. 4, 044007, 2013. Google Scholar
112. Aksenov, V. P., V. V. Kolosov, and C. E. Pogutsa, "Random wandering of laser beams with orbital angular momentum during propagation through atmospheric turbulence," Appl. Opt., Vol. 53, No. 17, 3607-3614, 2014. Google Scholar
113. Wen, W. and X. Chu, "Beam wander of an Airy beam with a spiral phase," J. Opt. Soc. Am. A, Vol. 31, No. 4, 685-690, 2014. Google Scholar
114. Funes, G., D. Gulich, L. Zunino, D. G. Perez, and M. Garavaglia, "Behavior of the laser beam wandering variance with the turbulent path length," Opt. Commun., Vol. 272, No. 2, 476-479, 2007. Google Scholar
115. Kaushal, H., V. Kumar, A. Dutta, H. Aennam, V. Jain, S. Kar, and J. Joseph, "Experimental study on beam wander under varying atmospheric turbulence conditions," IEEE Photo. Tech. Lett., Vol. 23, No. 22, 1691-1693, 2011. Google Scholar
116. Berman, G. P., A. A. Chumak, and V. N. Gorshkov, "Beam wandering in the atmosphere: The effect of partial coherence," Phys. Rev. E, Vol. 76, No. 5, 056606, 2007. Google Scholar
117. Xiao, X. and D. G. Voelz, "Beam wander analysis for focused partially coherent beams propagating in turbulence," Opt. Eng., Vol. 51, No. 2, 026001, 2012. Google Scholar
118. Song, Y., Z. Chen, T. Wang, G. Wu, H. Guo, and W. Gu, "Beam wander of electromagnetic Gaussian-Schell model beams propagating in atmospheric turbulence," Appl. Opt., Vol. 51, No. 31, 7581-7585, 2012. Google Scholar
119. Liu, X., F. Wang, C. Wei, and Y. Cai, "Experimental study of turbulence-induced beam wander and deformation of a partially coherent beam," Opt. Lett., Vol. 39, No. 11, 3336-3339, 2013. Google Scholar
120. Korotkova, O., L. C. Andrews, and R. L. Phillips, "LIDAR model for a rough-surface target: Method of partial coherence," Proc. SPIE, Vol. 5237, 49-60, 2003. Google Scholar
121. Korotkova, O., L. C. Andrews, and R. L. Phillips, "Laser radar in turbulent atmosphere: Effect of Target with arbitrary roughness on II and IV order statistics of Gaussian beam," Proc. SPIE, Vol. 5086, 173-183, 2003. Google Scholar
122. Korotkova, O., Y. Cai, and E. Watson, "Stochastic electromagnetic beams for LIDAR systems operating through turbulent atmosphere," Appl. Phys. B, Vol. 94, No. 4, 681-690, 2009. Google Scholar
123. Sahin, S., Z. Tong, and O. Korotkova, "Sensing of semi-rough targets embedded in atmospheric turbulence by means of stochastic electromagnetic beams," Opt. Commun., Vol. 283, No. 22, 4512-4518, 2010. Google Scholar
124. Wu, G. and Y. Cai, "Detection of a semi-rough target in turbulent atmosphere by a partially coherent beam," Opt. Lett., Vol. 36, No. 10, 1939-1942, 2011. Google Scholar
125. Wang, F. and Y. Cai, "Experimental observation of fractional Fourier transform for a partially coherent optical beam with Gaussian statistics," J. Opt. Soc. Am. A, Vol. 24, No. 7, 1937-1944, 2007. Google Scholar
126. Wang, F. and Y. Cai, "Experimental generation of a partially coherent flat-topped beam," Opt. Lett., Vol. 33, No. 16, 1795-1797, 2008. Google Scholar
127. Zhao, C., Y. Cai, F. Wang, X. Lu, and Y. Wang, "Generation of a high-quality partially coherent dark hollow beam with a multimode fiber," Opt. Lett., Vol. 33, No. 12, 1389-1391, 2008. Google Scholar
128. Wang, F., G.Wu, X. Liu, S. Zhu, and Y. Cai, "Experimental measurement of the beam parameters of an electromagnetic Gaussian Schell-model source," Opt. Lett., Vol. 36, No. 14, 2722-2724, 2011. Google Scholar
129. Wang, F., S. Zhu, and Y. Cai, "Experimental study of the focusing properties of a Gaussian Schell-model vortex beam," Opt. Lett., Vol. 36, No. 16, 3281-3283, 2011. Google Scholar
130. Wang, F., Y. Cai, Y. Dong, and O. Korotkova, "Experimental generation of a radially polarized beam with controllable spatial coherence," Appl. Phys. Lett., Vol. 100, No. 5, 051108, 2012. Google Scholar
131. Zhao, C., F. Wang, Y. Dong, Y. Han, and Y. Cai, "Effect of spatial coherence on determining the topological charge of a vortex beam," Appl. Phys. Lett., Vol. 101, No. 26, 261104, 2012. Google Scholar
132. Wang, F., X. Liu, Y. Yuan, and Y. Cai, "Experimental generation of partially coherent beams with different complex degrees of coherence," Opt. Lett., Vol. 38, No. 11, 1814-1816, 2013. Google Scholar
133. Chen, Y. and Y. Cai, "Generation of a controllable optical cage by focusing a Laguerre-Gaussian correlated Schell-model beam," Opt. Lett., Vol. 39, No. 9, 2549-2552, 2014. Google Scholar
134. Chen, Y., F. Wang, C. Zhao, and Y. Cai, "Experimental demonstration of a Laguerre-Gaussian correlated Schell-model vortex beam," Opt. Express, Vol. 22, No. 5, 5826-5838, 2014. Google Scholar
135. Chen, Y., F. Wang, L. Liu, C. Zhao, Y. Cai, and O. Korotkova, "Generation and propagation of a partially coherent vector beam with special correlation functions," Phys. Rev. A, Vol. 89, No. 1, 013801, 2014. Google Scholar
136. Liang, C., F. Wang, X. Liu, Y. Cai, and O. Korotkova, "Experimental generation of cosine-Gaussian-correlated Schell-model beams with rectangular symmetry," Opt. Lett., Vol. 39, No. 4, 769-772, 2014. Google Scholar
137. Wang, F., C. Liang, Y. Yuan, and Y. Cai, "Generalized multi-Gaussian correlated Schell-model beam: From theory to experiment," Opt. Express, Vol. 22, No. 19, 23456-23464, 2014. Google Scholar
138. Chen, Y., J. Gu, F. Wang, and Y. Cai, "Self-splitting properties of a Hermite-Gaussian correlated Schell-model beam," Phys. Rev. A, Vol. 91, No. 1, 013823, 2015. Google Scholar
139. Chen, Y., L. Liu, F. Wang, C. Zhao, and Y. Cai, "Elliptical Laguerre-Gaussian correlated Schell-model beam," Opt. Express, Vol. 22, No. 11, 13975-13987, 2014. Google Scholar
140. Cai, Y., Y. Chen, and F. Wang, "Generation and propagation of partially coherent beams with non-conventional correlation functions: A review," J. Opt. Soc. Am. A, Vol. 31, No. 9, 2083-2096, 2014. Google Scholar
141. Gbur, G., "Partially coherent beam propagation in atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 31, No. 9, 2038-2045, 2014. Google Scholar