OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 33 — Nov. 20, 2013
  • pp: 8176–8183

Coherence evolution of partially coherent beams carrying optical vortices propagating in non-Kolmogorov turbulence

Zhiyuan Qin, Rumao Tao, Pu Zhou, Xiaojun Xu, and Zejin Liu  »View Author Affiliations


Applied Optics, Vol. 52, Issue 33, pp. 8176-8183 (2013)
http://dx.doi.org/10.1364/AO.52.008176


View Full Text Article

Enhanced HTML    Acrobat PDF (818 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Based on partially coherent Bessel–Gaussian beams (BGBs), the coherence evolution of the partially coherent beams carrying optical vortices in non-Kolmogorov turbulence is investigated in detail. The analytical formulas for the spatial coherence length of partially coherent BGBs with optical vortices in non-Kolmogorov turbulence have been derived by using the combination of a coherence superposition approximation of decentered Gaussian beams and the extended Huygens–Fresnel principle. The influences of beam and turbulence parameters on spatial coherence are investigated by numerical examples. Numerical results reveal that the coherence of the partially coherent laser beam with vortices is independent of the optical vortices, and the spatial correlation length of the beams does not decrease monotonically during propagation in non-Kolmogorov turbulence. Within a certain propagation distance, the coherence of the partially coherent beam will improve, and the improvement of the coherence of the partially coherent beams is closely related to the beam and turbulence parameters.

© 2013 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.7060) Atmospheric and oceanic optics : Turbulence

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: August 7, 2013
Revised Manuscript: October 17, 2013
Manuscript Accepted: October 20, 2013
Published: November 20, 2013

Citation
Zhiyuan Qin, Rumao Tao, Pu Zhou, Xiaojun Xu, and Zejin Liu, "Coherence evolution of partially coherent beams carrying optical vortices propagating in non-Kolmogorov turbulence," Appl. Opt. 52, 8176-8183 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-33-8176


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. Okayama and L. Z. Wang, “Measurement of the spatial coherence of light influenced by turbulence,” Appl. Opt. 38, 2342–2345 (1999). [CrossRef]
  2. D. J. Wheeler and J. D. Schmidt, “Spatial coherence function of partially coherent Gaussian beams in atmospheric turbulence,” Appl. Opt. 50, 3907–3917 (2011). [CrossRef]
  3. R. L. Fante, “Mutual coherence function and frequency spectrum of a laser beam propagating through atmospheric turbulence,” J. Opt. Soc. Am. 64, 592–598 (1974). [CrossRef]
  4. L. C. Andrews, W. B. Miller, and J. C. Ricklin, “Spatial coherence of a Gaussian-beam wave in weak and strong optical turbulence,” J. Opt. Soc. Am. A 11, 1653–1660 (1994). [CrossRef]
  5. X. Ji, X. Chen, S. Chen, X. Li, and B. Lü, “Influence of atmospheric turbulence on the spatial correlation properties of partially coherent flat-topped beams,” J. Opt. Soc. Am. A 24, 3554–3563 (2007). [CrossRef]
  6. G. Wu, H. Guo, S. Yu, and B. Luo, “Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence,” Opt. Lett. 35, 715–717 (2010). [CrossRef]
  7. P. Zhou, Y. Ma, X. Wang, H. Zhao, and Z. Liu, “Average spreading of a Gaussian beam array in non-Kolmogorov turbulence,” Opt. Lett. 35, 1043–1045 (2010). [CrossRef]
  8. O. Korotkova and E. Shchepakina, “Color changes in stochastic light fields propagating in non-Kolmogorov turbulence,” Opt. Lett. 35, 3772–3774 (2010). [CrossRef]
  9. J. Cang and X. Liu, “Average capacity of free-space optical systems for a partially coherent beam propagating through non-Kolmogorov turbulence,” Opt. Lett. 36, 3335–3337 (2011). [CrossRef]
  10. H. Tang, B. Ou, B. Luo, H. Guo, and A. Dang, “Average spreading of a radial Gaussian beam array in non-Kolmogorov turbulence,” J. Opt. Soc. Am. A 28, 1016–1021 (2011). [CrossRef]
  11. C. Paterson, “Atmospheric turbulence and orbital angular momentum of single photons for optical communication,” Phys. Rev. Lett. 94, 153901 (2005). [CrossRef]
  12. N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, “Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner,” Opt. Lett. 22, 52–54 (1997). [CrossRef]
  13. W. M. Lee, X.-C. Yuan, and W. C. Cheong, “Optical vortex beam shaping by use of highly efficient irregular spiral phase plates for optical micromanipulation,” Opt. Lett. 29, 1796–1798 (2004). [CrossRef]
  14. A. Vinotte and L. Berg, “Femtosecond optical vortices in air,” Phys. Rev. Lett. 95, 193901 (2005). [CrossRef]
  15. Z. Bouchal, “Resistance of nondiffracting vortex beam against amplitude and phase perturbations,” Opt. Commun. 210, 155–164 (2002). [CrossRef]
  16. M. V. Vasnetsov, I. G. Marienko, and M. S. Soskin, “Self-reconstruction of an optical vortex,” J. Exp. Theor. Phys. Lett. 71, 130–133 (2000). [CrossRef]
  17. F. Gori, G. Guattari, and C. Padovani, “Bessel–Gaussian beams,” Opt. Commun. 64, 491–495 (1987). [CrossRef]
  18. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef]
  19. J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000). [CrossRef]
  20. K. Zhu, G. Zhou, X. Li, X. Zheng, and H. Tang, “Propagation of Bessel–Gaussian beams with optical vortices in turbulent atmosphere,” Opt. Express 16, 21315–21320 (2008). [CrossRef]
  21. K. Zhu, S. Li, Y. Tang, Y. Yu, and H. Tang, “Study on the propagation parameters of Bessel–Gaussian beams carrying optical vortices through atmospheric turbulence,” J. Opt. Soc. Am. A 29, 251–257 (2012). [CrossRef]
  22. Z. Qin, R. Tao, P. Zhou, X. Xu, and Z. Liu, “Propagation of partially coherent Bessel-Gaussian beams carrying optical vortices in non-Kolmogorov turbulence,” Opt. Laser Technol. 56, 182–188 (2014). [CrossRef]
  23. G. Gbur and E. Wolf, “Spreading of partially coherent beams in random media,” J. Opt. Soc. Am. A 19, 1592–1598 (2002). [CrossRef]
  24. J. Wu, “Propagation of a Gaussian–Schell beam through turbulent media,” J. Mod. Opt. 37, 671–684 (1990). [CrossRef]
  25. T. Shirai, A. Dogariu, and E. Wolf, “Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence,” J. Opt. Soc. Am. A 20, 1094–1102 (2003). [CrossRef]
  26. A. Dogariu and S. Amarande, “Propagation of partially coherent beams: turbulence-induced degradation,” Opt. Lett. 28, 10–12 (2003). [CrossRef]
  27. X. Li, X. Chen, and X. Ji, “Influence of atmospheric turbulence on the propagation of superimposed partially coherent Hermite–Gaussian beams,” Opt. Commun. 282, 7–13 (2009). [CrossRef]
  28. J. C. Leader, “Atmospheric propagation of partially coherent radiation,” J. Opt. Soc. Am. 68, 175–185 (1978). [CrossRef]
  29. S. C. H. Wang and M. A. Plonus, “Optical beam propagation for a partially coherent source in the turbulent atmosphere,” J. Opt. Soc. Am. 69, 1297–1304 (1979). [CrossRef]
  30. Y. Cai, “Propagation of various flat-topped beams in a turbulent atmosphere,” J. Opt. A 8, 537–545 (2006). [CrossRef]
  31. X. Chu, Z. Liu, and Y. Wu, “Propagation of a general multi-Gaussian beam in turbulent atmosphere in a slant path,” J. Opt. Soc. Am. A 25, 74–79 (2008). [CrossRef]
  32. Y. Zhu, D. Zhao, and X. Du, “Propagation of stochastic Gaussian–Schell model array beams in turbulent atmosphere,” Opt. Express 16, 18437–18442 (2008). [CrossRef]
  33. X. Liu and J. Pu, “Investigation on the scintillation reduction of elliptical vortex beams propagating in atmospheric turbulence,” Opt. Express 19, 26444–26450 (2011). [CrossRef]
  34. H. T. Eyyuboglu, Y. Baykal, and Y. Cai, “Complex degree of coherence for partially coherent general beams in atmospheric turbulence,” J. Opt. Soc. Am. A 24, 2891–2901 (2007). [CrossRef]
  35. B. Chen, Z. Chen, and J. Pu, “Propagation of partially coherent Bessel–Gaussian beams in turbulent atmosphere,” Opt. Laser Technol. 40, 820–827 (2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited