M. Wei, J. Wang, Y. Zhang, and Z. Hu, “Orbital angular momentum photons for optical communication in non-Kolmogorov atmospheric turbulence,” Opt. Commun. 416, 89–93 (2018).

[Crossref]

Y. Xu, Y. Zhu, and Y. Zhang, “Crosstalk probability of the bandwidth-limited orbital angular momentum mode of Bessel Gaussian beams in marine-atmosphere turbulence,” Opt. Commun. 427, 493–496 (2018).

[Crossref]

Y. Li, Y. Zhang, and Y. Zhu, “Influence of oceanic turbulence on propagation of the Gaussian pulsed X wave carrying orbital angular momentum,” Opt. Commun. 428, 57–62 (2018).

[Crossref]

Y. Xu, H. Shi, and Y. Zhang, “Effects of anisotropic oceanic turbulence on the power of the bandwidth-limited OAM mode of partially coherent modified Bessel correlated vortex beams,” J. Opt. Soc. Am. A 35, 1839–1845 (2018).

[Crossref]

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[Crossref]

Y. Li, L. Yu, and Y. Zhang, “Influence of anisotropic turbulence on the orbital angular momentum modes of Hermite-Gaussian vortex beam in the ocean,” Opt. Express 25, 12203–12215 (2017).

[Crossref]

Y. Li and Y. Zhang, “OAM mode of the Hankel-Bessel vortex beam in weak to strong turbulent link of marine-atmosphere,” Laser Phys. 27, 045201 (2017).

[Crossref]

V. Madhu and J. S. Ivan, “Robustness of the twist parameter of Laguerre-Gaussian mode superpositions against atmospheric turbulence,” Phys. Rev. A 95, 043836 (2017).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: challenges and mitigation techniques,” Commun. Surveys Tuts. 19, 57–96 (2017).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

Y. Wu, Y. Zhang, Y. Li, and Z. Hu, “Beam wander of Gaussian-Schell model beams propagating through oceanic turbulence,” Opt. Commun. 371, 59–66 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, Q. Huang, Q. Cheng, and D. Zhang, “Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean,” Appl. Opt. 55, 4642–4648 (2016).

[Crossref]

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, 1442–1450 (2016).

[Crossref]

C. Ding, L. Liao, H. Wang, Y. Zhang, and L. Pan, “Effect of oceanic turbulence on the propagation of cosine-Gaussian-correlated Schell-model beams,” J. Opt. 17, 035615 (2015).

[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, and J. Wang, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photon. 7, 66–106 (2015).

[Crossref]

Y. Xu, Y. Li, and X. Zhao, “Intensity and effective beam width of partially coherent Laguerre-Gaussian beams through a turbulent atmosphere,” J. Opt. Soc. Am. A 32, 1623–1630 (2015).

[Crossref]

Y. Ata and Y. Baykal, “Scintillations of optical plane and spherical waves in underwater turbulence,” J. Opt. Soc. Am. A 31, 1552–1556 (2014).

[Crossref]

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[Crossref]

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[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

J. Xu and D. Zhao, “Propagation of a stochastic electromagnetic vortex beam in the oceanic turbulence,” Opt. laser Technol. 57, 189–193 (2014).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

H. Xu, H. Luo, Z. Cui, and J. Qu, “Polarization characteristics of partially coherent elegant Laguerre-Gaussian beams in non-Kolmogorov turbulence,” Opt. Lasers Eng. 50, 760–766 (2012).

[Crossref]

Y. Zhong, Z. Cui, J. Shi, and J. Qu, “Polarization properties of partially coherent electromagnetic elegant Laguerre-Gaussian beams in turbulent atmosphere,” Appl. Phys. B 102, 937–944 (2011).

[Crossref]

H. Xu, Z. Cui, and J. Qu, “Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence,” Opt. Express 19, 21163–21173 (2011).

[Crossref]

O. Korotkova and N. Farwell, “Effect of oceanic turbulence on polarization of stochastic beams,” Opt. Commun. 284, 1740–1746 (2011).

[Crossref]

F. Wang, Y. Cai, H. T. Eyyuboğlu, and Y. Baykal, “Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere,” Prog. Electromagn. Res. 103, 33–56 (2010).

[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

J. Enderlein and F. Pampaloni, “Unified operator approach for deriving Hermite-Gaussian and Laguerre-Gaussian laser modes,” J. Opt. Soc. Am. A 21, 1553–1558 (2004).

[Crossref]

G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas’ko, S. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).

[Crossref]

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulent fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model beams,” Opt. Commun. 67, 245–250 (1988).

[Crossref]

S. Q. Duntley, “Light in the sea,” J. Opt. Soc. Am. A 53, 214–233 (1963).

[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, and J. Wang, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photon. 7, 66–106 (2015).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

L. C. Andrews and R. L. Philips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

F. Wang, Y. Cai, H. T. Eyyuboğlu, and Y. Baykal, “Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere,” Prog. Electromagn. Res. 103, 33–56 (2010).

[Crossref]

F. Wang, Y. Cai, and O. Korotkova, “Partially coherent standard and elegant Laguerre-Gaussian beams of all orders,” Opt. Express 17, 22366–22379 (2009).

[Crossref]

M. Cheng, L. Guo, J. Li, Q. Huang, Q. Cheng, and D. Zhang, “Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean,” Appl. Opt. 55, 4642–4648 (2016).

[Crossref]

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, 1442–1450 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas’ko, S. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12, 5448–5456 (2004).

[Crossref]

H. Xu, H. Luo, Z. Cui, and J. Qu, “Polarization characteristics of partially coherent elegant Laguerre-Gaussian beams in non-Kolmogorov turbulence,” Opt. Lasers Eng. 50, 760–766 (2012).

[Crossref]

H. Xu, Z. Cui, and J. Qu, “Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence,” Opt. Express 19, 21163–21173 (2011).

[Crossref]

Y. Zhong, Z. Cui, J. Shi, and J. Qu, “Polarization properties of partially coherent electromagnetic elegant Laguerre-Gaussian beams in turbulent atmosphere,” Appl. Phys. B 102, 937–944 (2011).

[Crossref]

C. Ding, L. Liao, H. Wang, Y. Zhang, and L. Pan, “Effect of oceanic turbulence on the propagation of cosine-Gaussian-correlated Schell-model beams,” J. Opt. 17, 035615 (2015).

[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

S. Q. Duntley, “Light in the sea,” J. Opt. Soc. Am. A 53, 214–233 (1963).

[Crossref]

F. Wang, Y. Cai, H. T. Eyyuboğlu, and Y. Baykal, “Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere,” Prog. Electromagn. Res. 103, 33–56 (2010).

[Crossref]

O. Korotkova and N. Farwell, “Effect of oceanic turbulence on polarization of stochastic beams,” Opt. Commun. 284, 1740–1746 (2011).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model beams,” Opt. Commun. 67, 245–250 (1988).

[Crossref]

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 6th ed. (Academic, 2000).

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, 1442–1450 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, Q. Huang, Q. Cheng, and D. Zhang, “Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean,” Appl. Opt. 55, 4642–4648 (2016).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model beams,” Opt. Commun. 67, 245–250 (1988).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

M. Wei, J. Wang, Y. Zhang, and Z. Hu, “Orbital angular momentum photons for optical communication in non-Kolmogorov atmospheric turbulence,” Opt. Commun. 416, 89–93 (2018).

[Crossref]

Y. Wu, Y. Zhang, Y. Li, and Z. Hu, “Beam wander of Gaussian-Schell model beams propagating through oceanic turbulence,” Opt. Commun. 371, 59–66 (2016).

[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, and J. Wang, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photon. 7, 66–106 (2015).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

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, 1442–1450 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, Q. Huang, Q. Cheng, and D. Zhang, “Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean,” Appl. Opt. 55, 4642–4648 (2016).

[Crossref]

V. Madhu and J. S. Ivan, “Robustness of the twist parameter of Laguerre-Gaussian mode superpositions against atmospheric turbulence,” Phys. Rev. A 95, 043836 (2017).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: challenges and mitigation techniques,” Commun. Surveys Tuts. 19, 57–96 (2017).

[Crossref]

H. Kaushal and G. Kaddoum, “Optical communication in space: challenges and mitigation techniques,” Commun. Surveys Tuts. 19, 57–96 (2017).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

M. Cheng, L. Guo, J. Li, Q. Huang, Q. Cheng, and D. Zhang, “Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean,” Appl. Opt. 55, 4642–4648 (2016).

[Crossref]

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, 1442–1450 (2016).

[Crossref]

M. Cheng, L. Guo, J. Li, and Y. Zhang, “Channel capacity of the OAM based free-space optical communication links with Bessel-Gauss beams in turbulent ocean,” IEEE Photon. J. 8, 7901411 (2016).

[Crossref]

Y. Li, Y. Zhang, and Y. Zhu, “Influence of oceanic turbulence on propagation of the Gaussian pulsed X wave carrying orbital angular momentum,” Opt. Commun. 428, 57–62 (2018).

[Crossref]

Y. Li, L. Yu, and Y. Zhang, “Influence of anisotropic turbulence on the orbital angular momentum modes of Hermite-Gaussian vortex beam in the ocean,” Opt. Express 25, 12203–12215 (2017).

[Crossref]

Y. Li and Y. Zhang, “OAM mode of the Hankel-Bessel vortex beam in weak to strong turbulent link of marine-atmosphere,” Laser Phys. 27, 045201 (2017).

[Crossref]

Y. Wu, Y. Zhang, Y. Li, and Z. Hu, “Beam wander of Gaussian-Schell model beams propagating through oceanic turbulence,” Opt. Commun. 371, 59–66 (2016).

[Crossref]

Y. Xu, Y. Li, and X. Zhao, “Intensity and effective beam width of partially coherent Laguerre-Gaussian beams through a turbulent atmosphere,” J. Opt. Soc. Am. A 32, 1623–1630 (2015).

[Crossref]

C. Ding, L. Liao, H. Wang, Y. Zhang, and L. Pan, “Effect of oceanic turbulence on the propagation of cosine-Gaussian-correlated Schell-model beams,” J. Opt. 17, 035615 (2015).

[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

H. Xu, H. Luo, Z. Cui, and J. Qu, “Polarization characteristics of partially coherent elegant Laguerre-Gaussian beams in non-Kolmogorov turbulence,” Opt. Lasers Eng. 50, 760–766 (2012).

[Crossref]

V. Madhu and J. S. Ivan, “Robustness of the twist parameter of Laguerre-Gaussian mode superpositions against atmospheric turbulence,” Phys. Rev. A 95, 043836 (2017).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optic, 1st ed. (Cambridge University, 1995).

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulent fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

V. V. Nikishov and V. I. Nikishov, “Spectrum of turbulent fluctuations of the sea-water refraction index,” Int. J. Fluid Mech. Res. 27, 82–98 (2000).

[Crossref]

G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett. 105, 153601 (2010).

[Crossref]

C. Ding, L. Liao, H. Wang, Y. Zhang, and L. Pan, “Effect of oceanic turbulence on the propagation of cosine-Gaussian-correlated Schell-model beams,” J. Opt. 17, 035615 (2015).

[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

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

[Crossref]

L. C. Andrews and R. L. Philips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).

H. Xu, H. Luo, Z. Cui, and J. Qu, “Polarization characteristics of partially coherent elegant Laguerre-Gaussian beams in non-Kolmogorov turbulence,” Opt. Lasers Eng. 50, 760–766 (2012).

[Crossref]

Y. Zhong, Z. Cui, J. Shi, and J. Qu, “Polarization properties of partially coherent electromagnetic elegant Laguerre-Gaussian beams in turbulent atmosphere,” Appl. Phys. B 102, 937–944 (2011).

[Crossref]

H. Xu, Z. Cui, and J. Qu, “Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence,” Opt. Express 19, 21163–21173 (2011).

[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, and J. Wang, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photon. 7, 66–106 (2015).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 6th ed. (Academic, 2000).

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

J. D. Schmidt, Numerical Simulation of Optical Wave Propagation (SPIE, 2010).

Y. Zhong, Z. Cui, J. Shi, and J. Qu, “Polarization properties of partially coherent electromagnetic elegant Laguerre-Gaussian beams in turbulent atmosphere,” Appl. Phys. B 102, 937–944 (2011).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel optical trap of atoms with a doughnut beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model beams,” Opt. Commun. 67, 245–250 (1988).

[Crossref]

M. Krenn, R. Fickler, M. Fink, J. Handsteiner, M. Malik, T. Scheidl, R. Ursin, and A. Zeilinger, “Communication with spatially modulated light through turbulent air across Vienna,” New J. Phys. 16, 113028 (2014).

[Crossref]

Y. Zhang, L. Liu, F. Wang, Y. Cai, C. Ding, and L. Pan, “Average intensity and spectral shifts of a partially coherent standard or elegant Laguerre-Gaussian beam beyond paraxial approximation,” Opt. Quantum Electron. 46, 365–379 (2014).

[Crossref]

F. Wang, Y. Cai, H. T. Eyyuboğlu, and Y. Baykal, “Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere,” Prog. Electromagn. Res. 103, 33–56 (2010).

[Crossref]

F. Wang, Y. Cai, and O. Korotkova, “Partially coherent standard and elegant Laguerre-Gaussian beams of all orders,” Opt. Express 17, 22366–22379 (2009).

[Crossref]

C. Ding, L. Liao, H. Wang, Y. Zhang, and L. Pan, “Effect of oceanic turbulence on the propagation of cosine-Gaussian-correlated Schell-model beams,” J. Opt. 17, 035615 (2015).

[Crossref]

M. Wei, J. Wang, Y. Zhang, and Z. Hu, “Orbital angular momentum photons for optical communication in non-Kolmogorov atmospheric turbulence,” Opt. Commun. 416, 89–93 (2018).

[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, and J. Wang, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photon. 7, 66–106 (2015).

[Crossref]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, and M. Tur, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 6, 488–496 (2012).

[Crossref]

M. Wei, J. Wang, Y. Zhang, and Z. Hu, “Orbital angular momentum photons for optical communication in non-Kolmogorov atmospheric turbulence,” Opt. Commun. 416, 89–93 (2018).

[Crossref]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optic, 1st ed. (Cambridge University, 1995).

Y. Wu, Y. Zhang, Y. Li, and Z. Hu, “Beam wander of Gaussian-Schell model beams propagating through oceanic turbulence,” Opt. Commun. 371, 59–66 (2016).

[Crossref]

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