J. Sakaguchi, B. J. Puttnam, W. Klaus, Y. Awaji, N. Wada, A.
Kanno, T. Kawanishi, K. Imamura, H. Inaba, K. Mukasa, R. Sugizaka, T. Kobayashi, M.
Watanabe, "305 Tb/s space division multiplexed transmission using homogeneous 19-core fiber
," J. Lightw. Technol 31, 554-562 (2013).

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).

M. Malik, M. O’Sullivan, B. Rodenburg, M. Mirhosseini, J. Leach,
M. P. J. Lavery, M. J. Padgett, R. W. Boyd, "Influence of atmospheric turbulence on optical
communications using orbital angular momentum for encoding," Opt. Exp. 20, 13195-13200
(2012).

D. M. Boroson, B. S. Robinson, D. A. Burianek, A. Biswas,
"Overview and status of the lunar laser communications demonstration," Proc. SPIE 8246, art.
82460C , (2012).

R. J. Essiambre, R. W. Tkach, "Capacity trends and limits of
optical communication networks," Proc. IEEE 100, 1035-1055 (2012).

B. Zhu, J. M. Fini, M. F. Yan, X. Liu, S. Chandrasekhar, T. F.
Taunay, M. Fishteyn, E. M. Monberg, F. V. Dimarcello, "High-capacity
space-division-multiplexed DWDM transmission using multicore fiber," J. Lightw. Technol 30,
486-492 (2012).

B. Zhu, T. F. Taunay, M. Fishteyn, X. Liu, S. Chandrasekhar, M.
F. Yan, J. M. Fini, E. M. Monberg, F. V. Dimarcello, "112-Tb/s space-division multiplexed
DWDM transmission with 14-b/s/Hz aggregate spectral efficiency over a 76.8-km seven-core
fiber," Opt. Exp. 19, 16665-16671 (2011).

J. A. Anguita, M. A. Neifeld, B. V. Vasic, " Turbulence-induced
channel crosstalk in an orbital angular momentum-multiplexed free-space link," Appl. Opt 47,
2414-2429 (2008).

B. S. Robinson, A. J. Kerman, E. A. Dauler, R. O. Barron, D. O.
Caplan, M. L. Stevens, J. J. Carney, S. A. Hamilton, J. K. W. Yang, K. K. Berggren, "781
Mbit/s photon-counting optical communications using a superconducting nanowire detector,"
Opt. Lett 31, 444-446 (2006).

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

J. H. Shapiro, S. Guha, B. I. Erkmen, "Ultimate channel capacity
of free-space optical communications," J. Opt. Netw. 4 , 501-516 (2005).

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, H.
P. Yuen, "Classical capacity of the lossy bosonic channel: The exact solution," Phys Rev.
Lett 92 , (2004).

D. Kedar, S. Arnon, "Urban optical wireless communication
networks: The main challenges and possible solutions ," IEEE Commun. Mag. 42, S2-S7
(2004).

J. H. Shapiro, "Near-field turbulence effects on quantum key
distribution," Phys Rev. A 67, (2003).

A. Vaziri, G. Weihs, A. Zeilinger, "Experimental two-photon,
three-dimensional entanglement for quantum communication," Phys. Rev. Lett 89,
(2002).

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the
orbital angular momentum states of photons ," Nature 412, 313-316 (2001).

D. J. T. Healey, D. R. Wisely, I. Neild, P. Cochrane, "Optical
wireless: The story so far ," IEEE Commun. Mag 36, 72-74, 79–82 (1998).

S. M. Wandzura, "Meaning of quadratic structure functions ," J.
Opt. Soc. Amer. 70, 745-747 (1980).

R. S. Kennedy, "Communication through optical scattering
channels: An introduction," Proc. IEEE 58, 1651-1665 (1970).

G. Toraldo di Francia, "Degrees of freedom of an image ," J.
Opt. Soc. Amer. 59, 799-803 (1969).

C. K. Rushforth, R. W. Harris, "Restoration, resolution, and
noise," J. Opt. Soc. Amer 58, 539-544 (1968).

A. A. M. Saleh, "An investigation of laser wave depolarization
due to atmospheric transmission," IEEE J. Quantum Electron 3, 540-543
(1967).

D. Slepian, "Analytical solution to two apodization problems ,"
J. Opt. Soc. Amer. 55, 1110-1114 (1965).

D. Slepian, "Prolate spheroidal wave functions, Fourier analysis
and uncertainty–IV: Extensions to many dimensions; generalized prolate spheroidal
functions," Bell Syst. Tech. J. 43, 3009 -3057 (1964).

J. P. Gordon, "Quantum effects in communication systems ," Proc.
IRE 50, 1898-1908 (1962).

J. A. Anguita, M. A. Neifeld, B. V. Vasic, " Turbulence-induced
channel crosstalk in an orbital angular momentum-multiplexed free-space link," Appl. Opt 47,
2414-2429 (2008).

D. Slepian, "Prolate spheroidal wave functions, Fourier analysis
and uncertainty–IV: Extensions to many dimensions; generalized prolate spheroidal
functions," Bell Syst. Tech. J. 43, 3009 -3057 (1964).

D. J. T. Healey, D. R. Wisely, I. Neild, P. Cochrane, "Optical
wireless: The story so far ," IEEE Commun. Mag 36, 72-74, 79–82 (1998).

D. Kedar, S. Arnon, "Urban optical wireless communication
networks: The main challenges and possible solutions ," IEEE Commun. Mag. 42, S2-S7
(2004).

A. A. M. Saleh, "An investigation of laser wave depolarization
due to atmospheric transmission," IEEE J. Quantum Electron 3, 540-543
(1967).

B. Zhu, J. M. Fini, M. F. Yan, X. Liu, S. Chandrasekhar, T. F.
Taunay, M. Fishteyn, E. M. Monberg, F. V. Dimarcello, "High-capacity
space-division-multiplexed DWDM transmission using multicore fiber," J. Lightw. Technol 30,
486-492 (2012).

J. Sakaguchi, B. J. Puttnam, W. Klaus, Y. Awaji, N. Wada, A.
Kanno, T. Kawanishi, K. Imamura, H. Inaba, K. Mukasa, R. Sugizaka, T. Kobayashi, M.
Watanabe, "305 Tb/s space division multiplexed transmission using homogeneous 19-core fiber
," J. Lightw. Technol 31, 554-562 (2013).

J. H. Shapiro, S. Guha, B. I. Erkmen, "Ultimate channel capacity
of free-space optical communications," J. Opt. Netw. 4 , 501-516 (2005).

C. K. Rushforth, R. W. Harris, "Restoration, resolution, and
noise," J. Opt. Soc. Amer 58, 539-544 (1968).

G. Toraldo di Francia, "Degrees of freedom of an image ," J.
Opt. Soc. Amer. 59, 799-803 (1969).

S. M. Wandzura, "Meaning of quadratic structure functions ," J.
Opt. Soc. Amer. 70, 745-747 (1980).

D. Slepian, "Analytical solution to two apodization problems ,"
J. Opt. Soc. Amer. 55, 1110-1114 (1965).

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the
orbital angular momentum states of photons ," Nature 412, 313-316 (2001).

M. Malik, M. O’Sullivan, B. Rodenburg, M. Mirhosseini, J. Leach,
M. P. J. Lavery, M. J. Padgett, R. W. Boyd, "Influence of atmospheric turbulence on optical
communications using orbital angular momentum for encoding," Opt. Exp. 20, 13195-13200
(2012).

B. Zhu, T. F. Taunay, M. Fishteyn, X. Liu, S. Chandrasekhar, M.
F. Yan, J. M. Fini, E. M. Monberg, F. V. Dimarcello, "112-Tb/s space-division multiplexed
DWDM transmission with 14-b/s/Hz aggregate spectral efficiency over a 76.8-km seven-core
fiber," Opt. Exp. 19, 16665-16671 (2011).

B. S. Robinson, A. J. Kerman, E. A. Dauler, R. O. Barron, D. O.
Caplan, M. L. Stevens, J. J. Carney, S. A. Hamilton, J. K. W. Yang, K. K. Berggren, "781
Mbit/s photon-counting optical communications using a superconducting nanowire detector,"
Opt. Lett 31, 444-446 (2006).

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).

J. H. Shapiro, "Near-field turbulence effects on quantum key
distribution," Phys Rev. A 67, (2003).

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, H.
P. Yuen, "Classical capacity of the lossy bosonic channel: The exact solution," Phys Rev.
Lett 92 , (2004).

A. Vaziri, G. Weihs, A. Zeilinger, "Experimental two-photon,
three-dimensional entanglement for quantum communication," Phys. Rev. Lett 89,
(2002).

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

R. J. Essiambre, R. W. Tkach, "Capacity trends and limits of
optical communication networks," Proc. IEEE 100, 1035-1055 (2012).

R. S. Kennedy, "Communication through optical scattering
channels: An introduction," Proc. IEEE 58, 1651-1665 (1970).

J. P. Gordon, "Quantum effects in communication systems ," Proc.
IRE 50, 1898-1908 (1962).

D. M. Boroson, B. S. Robinson, D. A. Burianek, A. Biswas,
"Overview and status of the lunar laser communications demonstration," Proc. SPIE 8246, art.
82460C , (2012).

A. W. Marshall, I. Olkin, Inequalities: Theory of Majorization
and Its Applications (Academic, 1979).

A. Ishimaru, Wave Propagation and Scattering in Random Media
(Academic , 1978).

L. C. Andrews, R. L. Phillips, Laser Beam Scintillation With
Applications (SPIE, 2001).

L. C. Andrews, R. L. Phillips, Laser Beam Propagation through
Random Media (SPIE, 2005).

B. Rodenburg, M. Mirhosseini, M. Malik, M. Yanakas, L. Maher,
N. K. Steinhoff, G. A. Tyler, and R. W. Boyd, “Simulating real-world turbulence in the lab:
Orbital angular momentum communication through 1 km of atmosphere,” arXiv: 1301.7454
[physics.optics], 2013..

J. P. Gordon, Quantum Electronics and Coherent Light (Academic,
1964) pp. 156-181.

S. Guha, Z. Dutton, J. H. Shapiro, "On quantum limit of optical
communications: concatenated codes and joint detection receivers," Dig. IEEE Int. Symp.
Inform. Theory (2011) pp. 274-278 .

M. M. Wilde, S. Guha, S.-H. Tan, S. Lloyd, "Explicit
capacity-achieving receivers for optical communication and quantum reading," Proc. IEEE Int.
Symp. Inform. Theory (2012 ) pp. 551-555.

S. Dolinar, B. I. Erkmen, B. Moision, K. Birnbaum, D. Divsalar,
"The ultimate limits of optical communication efficiency with photon-counting receivers ,"
Dig. IEEE Int. Symp. Inf. Theory (2012) pp. 541-545.

J. H. Shapiro, Laser Beam Propagation in the Atmosphere
(Springer-Verlag, 1978, ch. 6 ).

N. Chandrasekaran, J. H. Shapiro, and L. Wang, “Photon
information efficient communication through atmospheric turbulence—Part II: Bounds on
ergodic classical and private capacities,” J. Lightw. Technol., vol. 32, no. 6, pp.
1088–1097, Mar. 2014..

B. I. Erkmen, J. H. Shapiro, "Performance analysis for
near-field atmospheric optical communications," Proc. IEEE Global Telecommun. Conf. (2004)
pp. 318 -324.