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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 7 — Apr. 7, 2014
  • pp: 7765–7772

Probability density of the orbital angular momentum mode of Hankel-Bessel beams in an atmospheric turbulence

Yu Zhu, Xiaojun Liu, Jie Gao, Yixin Zhang, and Fengsheng Zhao  »View Author Affiliations


Optics Express, Vol. 22, Issue 7, pp. 7765-7772 (2014)
http://dx.doi.org/10.1364/OE.22.007765


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Abstract

We develop a novel model of the probability density of the orbital angular momentum (OAM) modes for Hankel-Bessel beams in paraxial turbulence channel based on the Rytov approximation. The results show that there are multi-peaks of the mode probability density along the radial direction. The peak position of the mode probability density moves to beam center with the increasing of non-Kolmogorov turbulence-parameters and the generalized refractive-index structure parameters and with the decreasing of OAM quantum number, propagation distance and wavelength of the beams. Additionally, larger OAM quantum number and smaller non-Kolmogorov turbulence-parameter can be selected in order to obtain larger mode probability density. The probability density of the OAM mode crosstalk is increasing with the decreasing of the quantum number deviation and the wavelength. Because of the focusing properties of Hankel-Bessel beams in turbulence channel, compared with the Laguerre-Gaussian beams, Hankel-Bessel beams are a good light source for weakening turbulence spreading of the beams and mitigating the effects of turbulence on the probability density of the OAM mode.

© 2014 Optical Society of America

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(060.2605) Fiber optics and optical communications : Free-space optical communication

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: October 29, 2013
Manuscript Accepted: December 2, 2013
Published: March 27, 2014

Citation
Yu Zhu, Xiaojun Liu, Jie Gao, Yixin Zhang, and Fengsheng Zhao, "Probability density of the orbital angular momentum mode of Hankel-Bessel beams in an atmospheric turbulence," Opt. Express 22, 7765-7772 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-7-7765


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References

  1. C. Paterson, “Atmospheric turbulence and orbital angular momentum of single photons for optical communication,” Phys. Rev. Lett. 94(15), 153901 (2005). [CrossRef] [PubMed]
  2. F. E. S. Vetelino, R. J. Morgana, “Model validation of turbulence effects on orbital angular momentum of single photons for optical communication,” Proc. SPIE 7685, 76850R (2010). [CrossRef]
  3. Y. Jiang, S. Wang, J. Zhang, J. Ou, H. Tang, “Spiral spectrum of Laguerre-Gaussian beams propagation in non-Kolmogorov turbulence,” Opt. Commun. 303, 38–41 (2013). [CrossRef]
  4. X. Sheng, Y. Zhang, X. Wang, Z. Wang, Y. Zhu, “The effects of non-Kolmogorov turbulence on the orbital angular momentum of photon-beam propagation in a slant channel,” Opt. Quantum Electron. 43(6–10), 121–127 (2012). [CrossRef]
  5. J. A. Anguita, M. A. Neifeld, B. V. Vasic, “Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link,” Appl. Opt. 47(13), 2414–2429 (2008). [CrossRef] [PubMed]
  6. 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(2), 142–144 (2009). [CrossRef] [PubMed]
  7. B. Rodenburg, M. P. J. Lavery, M. Malik, M. N. O’Sullivan, M. Mirhosseini, D. J. Robertson, M. Padgett, R. W. Boyd, “Influence of atmospheric turbulence on states of light carrying orbital angular momentum,” Opt. Lett. 37(17), 3735–3737 (2012). [CrossRef] [PubMed]
  8. Y. Zhang, Y. Wang, J. Xu, J. Wang, J. Jia, “Orbital angular momentum crosstalk of single photons propagation in a slant non-Kolmogorov turbulence channel,” Opt. Commun. 284(5), 1132–1138 (2011). [CrossRef]
  9. J. Wang, J. Jia, J. Xu, Y. Wang, Y. Zhang, “The probability of orbital angular momentum states of single photons with Z-tilt corrected residual aberration in a slant path turbulent atmosphere,” Optik 122(11), 996–999 (2011). [CrossRef]
  10. S. M. Zhao, J. Leach, L. Y. Gong, J. Ding, B. Y. Zheng, “Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states,” Opt. Express 20(1), 452–461 (2012). [CrossRef] [PubMed]
  11. V. V. Kotlyar, A. A. Kovalev, V. A. Soifer, “Hankel-Bessel laser beams,” J. Opt. Soc. Am. A 29(5), 741–747 (2012). [CrossRef] [PubMed]
  12. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 6th ed. (Academic, 2000).
  13. X. Sheng, Y. Zhang, F. Zhao, L. Zhang, Y. Zhu, “Effects of low-order atmosphere-turbulence aberrations on the entangled orbital angular momentum states,” Opt. Lett. 37(13), 2607–2609 (2012). [CrossRef] [PubMed]
  14. F. Li, H. Tang, Y. Jiang, J. Ou, “Spiral spectrum of Laguerre-Gaussian beams propagating in turbulent atmosphere,” Acta Phys. Sin. 60(1), 014204 (2011).

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