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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 4 — Feb. 20, 2006
  • pp: 1353–1367

Propagation of various dark hollow beams in a turbulent atmosphere

Yangjian Cai and Sailing He  »View Author Affiliations


Optics Express, Vol. 14, Issue 4, pp. 1353-1367 (2006)
http://dx.doi.org/10.1364/OE.14.001353


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Abstract

Propagation of a dark hollow beam (DHB) of circular, elliptical or rectangular symmetry in a turbulent atmosphere is investigated. Analytical formulas for the average intensity of various DHBs propagating in a turbulent atmosphere are derived in a tensor form based on the extended Huygens-Fresnel integral. The intensity and spreading properties of the DHBs in a turbulent atmosphere are studied numerically. It is found that after a long propagation distance a dark hollow beam of circular or non-circular eventually becomes a circular Gaussian beam (without dark hollow) in a turbulent atmosphere, which is much different from its propagation properties in free space. The conversion from a DHB to a circular Gaussian beam becomes quicker and the beam spot in the far field spreads more rapidly for a larger structure constant, a shorter wavelength, a lower beam order and a smaller waist size of the initial beam.

© 2006 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.3310) Atmospheric and oceanic optics : Laser beam transmission

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: December 22, 2005
Revised Manuscript: January 22, 2006
Manuscript Accepted: February 5, 2006
Published: February 20, 2006

Citation
Yangjian Cai and Sailing He, "Propagation of various dark hollow beams in a turbulent atmosphere," Opt. Express 14, 1353-1367 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-4-1353


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References

  1. J. Yin, W. Gao, and Y. Zhu, ‘‘Generation of dark hollow beams and their applications,’’ in Progress in Optics, E. Wolf, ed., (North-Holland, Amsterdam, 2003), Vol. 44, pp. 119-204. [CrossRef]
  2. 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]
  3. J. Arlt and K. Dholakia, ‘‘Generation of high-order Bessel beams by use of an axicon,’’Opt. Commun. 177, 297-301 (2000). [CrossRef]
  4. Y. Cai, X. Lu, and Q. Lin, ‘‘Hollow Gaussian beam and its propagation,’’ Opt. Lett. 28, 1084-1086 (2003). [CrossRef] [PubMed]
  5. Y. Cai and Q. Lin, "Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems," J. Opt. Soc. Am. A 21, 1058-1065 (2004). [CrossRef]
  6. D. Ganic, X. Gan, M. Gu, "Focusing of doughnut laser beams by a high numerical-aperture objective in free space," Opt. Express 11, 2747-2752 (2003). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-21-2747 [CrossRef] [PubMed]
  7. K. Zhu, H. Tang, X. Sun, X. Wang, and T. Liu, ‘‘Flattened multi-Gaussian light beams with an axial shadow generated through superposing Gaussian beams, ’’Opt. Commun. 207, 29-34 (2002). [CrossRef]
  8. Z. Mei and D. Zhao, "Controllable dark-hollow beams and their propagation characteristics," J. Opt. Soc. Am. A 22, 1898-1902 (2005). [CrossRef]
  9. D. Deng, X. Fu, C. Wei, J. Shao and Z. Fan, "Far-field intensity distribution and M2 factor of hollow Gaussian beams,"Appl. Opt. 44, 7187-7190 (2005). [CrossRef] [PubMed]
  10. C. C. Davis, I. I. Smolyaninov, and S. D. Milner, "Flexible optical wireless link and networks," IEEE Commun. Mag. 41, 51-57 (2003). [CrossRef]
  11. H. Izadpanah, T. Elbatt, V. Kukshya, F. Dolezal, and B. K. Ryu, "High-availability free space optical and RF hybrid wireless networks," IEEE Wireless Commun. 10, 45-55 (2003). [CrossRef]
  12. Z. I. Feizulin and Y. A. Kravtsov, "Broadening of a laser beam in a turbulent medium," Radiophys. Quantum Electron. 10, 33-35 (1967). [CrossRef]
  13. C. Y. Young, Y. V. Gilchrest, and B. R. Macon, "Turbulence-induced beam spreading of higher-order mode optical waves," Opt. Eng. 41, 1097-1103 (2002). [CrossRef]
  14. 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]
  15. J. C. Leader, "Atmospheric propagation of partially coherent radiation", J. Opt. Soc. Am. 68, 175-185 (1978). [CrossRef]
  16. 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]
  17. H. T. Eyyuboðlu and Y. Baykal, "Reciprocity of cos-Gaussian and cosh-Gaussian laser beams in turbulent atmosphere," Opt. Express 12, 4659-4674 (2004). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-20-4659 [CrossRef] [PubMed]
  18. H. T. Eyyuboðlu and Y. Baykal, "Average intensity and spreading of cosh-Gaussian beams in the turbulent atmosphere," Appl. Opt. 44, 976-983 (2005). [CrossRef] [PubMed]
  19. Y. Baykal, "Correlation and structure functions of Hermite-sinusoidal-Gaussian laser beams in a turbulent atmosphere," J. Opt. Soc. Am. A 21, 1290-1299 (2004). [CrossRef]
  20. H. T. Eyyuboðlu, "Hermite-cosine-Gaussian laser beam and its propagation characteristics in turbulent atmosphere," J. Opt. Soc. Am. A 22, 1527-1535 (2005). [CrossRef]
  21. H. T. Eyyuboðlu, "Propagation of Hermite-cosh-Gaussian laser beams in turbulent atmosphere," Opt. Commun. 245, 37-47 (2005). [CrossRef]
  22. Y. Baykal, "Log-amplitude and phase fluctuations of higher-order annular laser beams in a turbulent medium," J. Opt. Soc. Am. A 22, 672-679 (2005). [CrossRef]
  23. J. A. Arnaud, "Nonorthogonal optical waveguides and resonators," Bell Syst. Tech. J. 49, 2311-2348 (1970).
  24. J. A. Arnaud, Hamiltonian theory of beam mode propagation, in Progress in Optics, Vol XI, E. Wolf, ed., (North-Holland, Amsterdam, 1973), pp. 247-304. [CrossRef]
  25. Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik 85, 67-72 (1990).
  26. J. Alda, S. Wang, and E. Bernabeu, "Analytical expression for the complex radius of curvature tensor Q for generalized Gaussian beams," Opt. Commun. 80, 350-352 (1991). [CrossRef]
  27. Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002). [CrossRef]
  28. W. H. Carter, ‘‘Spot size and divergence for Hermite-Gaussian beams of any order,’’ Appl. Opt. 19, 1027-1029 (1980). [CrossRef] [PubMed]

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