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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 32, Iss. 6 — Mar. 15, 2014
  • pp: 1088–1097

Photon Information Efficient Communication Through Atmospheric Turbulence—Part II: Bounds on Ergodic Classical and Private Capacities

Nivedita Chandrasekaran, Jeffrey H. Shapiro, and Ligong Wang

Journal of Lightwave Technology, Vol. 32, Issue 6, pp. 1088-1097 (2014)

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Vacuum-propagation optical communication with high photon efficiency (many bits/photon) and high spectral efficiency (many bits/s $\cdot$ Hz) requires operation in the near-field power transfer regime with a large number of spatial modes. For terrestrial propagation paths, however, the effects of atmospheric turbulence must be factored into the photon and spectral efficiency assessments. In Part I of this study [N. Chandrasekaran and J. H. Shapiro, “Photon Information Efficient Communication Through Atmospheric Turbulence—Part I: Channel Model and Propagation Statistics,” J. Lightw. Technol., vol. 32, no. 6, pp. 1075–1087, Mar. 2014], modal-transmissivity statistics were derived for the turbulent channel that depend solely on the mutual coherence function of the atmospheric Green’s function, and these bounds were evaluated for $\sim$ 200 spatial-mode systems whose transmitters used either focused-beam (FB), Hermite-Gaussian (HG), or Laguerre–Gaussian (LG) modes and whose receivers either did or did not employ adaptive optics. This Part II paper derives upper and lower bounds for the ergodic Holevo capacities of classical and private information transmission over the multiple spatial-mode turbulent channel that can be evaluated from Part I’s transmissivity statistics. Also included are bounds on the ergodic capacity for on–off keying encoding and direct detection. It is shown that: 1) adaptive optics are not necessary to realize high photon information efficiency and high spectral efficiency simultaneously; 2) an FB-mode system with perfect adaptive optics outperforms its HG-mode and LG-mode counterparts; and 3) the converse is true when adaptive optics are not employed.

© 2013 IEEE

Nivedita Chandrasekaran, Jeffrey H. Shapiro, and Ligong Wang, "Photon Information Efficient Communication Through Atmospheric Turbulence—Part II: Bounds on Ergodic Classical and Private Capacities," J. Lightwave Technol. 32, 1088-1097 (2014)

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  1. 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 .
  2. 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, and K. K. Berggren, “781 Mbit/s photon-counting optical communications using a superconducting nanowire detector,” Opt. Lett. , vol. 31, no. 4, pp. 444–446, Feb. 15, 2006..
  3. G. Li, "Recent advances in coherent optical communication ," Adv. Opt. Photon. 1, 279-307 (2009).
  4. B. Zhu, T. F. Taunay, M. Fishteyn, X. Liu, S. Chandrasekhar, M. F. Yan, J. M. Fini, E. M. Monberg, and 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., vol. 19, no. 17, pp. 16665–16671, Aug. 15, 2011..
  5. B. Zhu, J. M. Fini, M. F. Yan, X. Liu, S. Chandrasekhar, T. F. Taunay, M. Fishteyn, E. M. Monberg, and F. V. Dimarcello, “High-capacity space-division-multiplexed DWDM transmission using multicore fiber,” J. Lightw. Technol, vol. 30, no. 4, pp. 486–492, Feb. 15, 2012..
  6. 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, and M. Watanabe, “305 Tb/s space division multiplexed transmission using homogeneous 19-core fiber,” J. Lightw. Technol , vol. 31, no. 4, pp. 554–562, Feb. 15, 2013..
  7. R. S. Kennedy, "Communication through optical scattering channels: An introduction," Proc. IEEE 58, 1651-1665 (1970).
  8. J. H. Shapiro, “Imaging and optical communication through atmospheric turbulence,” in Laser Beam Propagation in the Atmosphere, J. W. Strohbehn, Ed. Berlin, Germany: Springer-Verlag, 1978, ch. 6..
  9. N. Chandrasekaran and J. H. Shapiro, “Photon information efficient communication through atmospheric turbulence—Part I: Channel model and propagation statistics,” J. Lightw. Technol., vol. 32, no. 6, pp. 1075–1087, Mar. 2014..
  10. D. Slepian, "Analytical solution to two apodization problems ," J. Opt. Soc. Amer. 55, 1110-1114 (1965).
  11. J. H. Shapiro, "Normal-mode approach to wave propagation in the turbulent atmosphere," Appl. Opt. 13, 2614-2619 (1974 ).
  12. L. C. Andrews, R. L. Phillips, Laser Beam Scintillation with Applications (SPIE, 2001).
  13. L. C. Andrews, R. L. Phillips, Laser Beam Propagation Through Random Media (SPIE, 2005).
  14. M. M. Wilde, S. Guha, S.-H. Tan, and S. Lloyd, “Explicit capacity-achieving receivers for optical communication and quantum reading,” in Dig. IEEE Int. Symp. Inform. Theory, 2012 pp. 551–555..
  15. 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. Inform. Theory (2012) pp. 541-545.
  16. E. Telatar, “Capacity of multi-antenna Gaussian channels,” Eur. Trans. Telecommun., vol. 10, no. 6, pp. 585–595, Nov./Dec. 1999. .
  17. P. J. Winzer and G. J. Foschini, “MIMO capacities and outage probabilities in spatially multiplexed optical transport systems,” Opt. Exp. , vol. 19, no. 17, pp. 16680–16696, Aug. 15, 2011..
  18. V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: The exact solution,” Phys. Rev. Lett., vol. 92, no. 2, art. 027902, Jan. 16, 2004..
  19. J. P. Gordon, "Quantum effects in communication systems ," Proc. IRE 50, 1898-1908 (1962).
  20. J. P. Gordon, "Quantum electronics and coherent light," Proc. Int. School Phys. Enrico Fermi (1964) pp. 156 -181.
  21. G. Smith, “Private classical capacity with a symmetric side channel and its application to quantum cryptography,” Phys. Rev. A, vol. 78, no. 2, art. 022306, Aug. 2008..
  22. M. M. Wolf, D. Pérez-García, and G. Giedke, “Quantum capacities of bosonic channels,” Phys. Rev. Lett., vol. 98, no. 13, art. 130501, Mar. 30, 2007..
  23. 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).
  24. A. W. Marshall, I. Olkin, Inequalities: Theory of Majorization and Its Applications (Academic, 1979).

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