[1] L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, J. P. Woerdman. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).

[2] J. Wang, J. Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

[3] S. Yu. Potentials and challenges of using orbital angular momentum communications in optical interconnects. Opt. Express, 23, 3075-3087(2015).

[4] L. Zhu, J. Wang. Demonstration of obstruction-free data-carrying N-fold Bessel modes multicasting from a single Gaussian mode. Opt. Lett., 40, 5463-5466(2015).

[5] J. Durnin. Exact solutions for nondiffracting beams. I. The scalar theory. J. Opt. Soc. Am. A, 4, 651-654(1987).

[6] Y. Ren, H. Huang, G. Xie, N. Ahmed, Y. Yan, B. I. Erkmen, N. Chandrasekaran, M. P. J. Lavery, N. K. Steinhoff, M. Tur, S. Dolinar, M. Neifeld, M. J. Padgett, R. W. Boyd, J. H. Shapiro, A. E. Willner. Atmospheric turbulence effects on the performance of a free space optical link employing orbital angular momentum multiplexing. Opt. Lett., 38, 4062-4065(2013).

[7] G. A. Tyler, R. W. Boyd. Influence of atmospheric turbulence on the propagation of quantum states of light carrying orbital angular momentum. Opt. Lett., 34, 142-144(2009).

[8] C. Paterson. Atmospheric turbulence and orbital angular momentum of single photons for optical communication. Phys. Rev. Lett., 94, 153901(2005).

[9] P. Birch, I. Ituen, R. Young, C. Chatwin. Long-distance Bessel beam propagation through Kolmogorov turbulence. J. Opt. Soc. Am. A, 32, 2066-2073(2015).

[10] K. Cheng, H. R. Zhang, B. D. Lv. Coherence vortex properties of partially coherent vortex beams. Acta Phys. Sin., 59, 246-255(2010).

[11] T. S. McKechnie. General Theory of Light Propagation and Imaging through the Atmosphere(2016).

[12] T. V. Karman. Progress in the statistical theory of turbulence. Proc. Natl. Acad. Sci. USA, 34, 530-539(1948).

[13] V. E. Ostashev, B. Brahler, V. Mellert, G. H. Goedecke. Coherence functions of plane and spherical waves in a turbulent medium with the von Karman spectrum of medium inhomogeneities. J. Acoust. Soc. Am., 104, 727-737(1998).

[14] E. M. Johansson, D. T. Gavel. Simulation of stellar speckle imaging. Proc. SPIE, 2200, 372-383(1994).

[15] R. G. Lane, A. Glindemann, J. C. Dainty. Simulation of a Kolmogorov phase screen. Waves Random Media, 2, 209-224(2006).

[16] Y. D. Liu, C. Gao, M. Gao, F. Li. Coherent-mode representation and orbital angular momentum spectrum of partially coherent beam. Opt. Commun., 281, 1968-1975(2008).

[17] D. L. Fried. Statistics of a geometric representation of wavefront distortion. J. Opt. Soc. Am., 55, 1427-1435(1965).

[18] I. P. Lukin. Variance of fluctuations of the orbital angular momentum of Bessel beam in turbulent atmosphere. Proc. SPIE, 8696, 869607(2012).