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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 10 — May. 15, 2006
  • pp: 4196–4207

Flat topped beams and their characteristics in turbulent media

Halil Tanyer Eyyuboğlu, Çağlar Arpali, and Yahya Baykal  »View Author Affiliations


Optics Express, Vol. 14, Issue 10, pp. 4196-4207 (2006)
http://dx.doi.org/10.1364/OE.14.004196


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Abstract

The source and receiver plane characteristics of flat topped (FT) beam propagating in turbulent atmosphere are investigated. To this end, source size, beam power and M2 factor of source plane FT beam are derived. For a turbulent propagation medium, via Huygens Fresnel diffraction integral, the receiver plane intensity is found. Power captured within an area on the receiver plane is calculated. Kurtosis parameter and beam size variation along the propagation axis are formulated. Graphical outputs are provided displaying the variations of the derived source and receiver plane parameters against the order of flatness and propagation length. Analogous to free space behavior, when propagating in turbulence, the FT beam first will form a circular ring in the center. As the propagation length increases, the circumference of this ring will become narrower, giving rise to a downward peak emerging from the center of the beam, eventually turning the intensity profile into a pure Gaussian shape.

© 2006 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(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: March 13, 2006
Revised Manuscript: April 7, 2006
Manuscript Accepted: May 1, 2006
Published: May 15, 2006

Citation
Halil T. Eyyuboglu, Çaglar Arpali, and Yahya Kemal Baykal, "Flat topped beams and their characteristics in turbulent media," Opt. Express 14, 4196-4207 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-10-4196


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References

  1. F. M. Dickey and S. C. Holswade, Laser beam shaping: theory and techniques (Marcel Dekker, New York, 2000). [CrossRef]
  2. D. L. Shealy and J. A. Hoffnagle, "Beam shaping profiles and propagation," in Laser Beam Shaping VI, F. M. Dickey and D. L. Shealy, eds., Proc. SPIE 5876, 1-11 (2005).
  3. Y. Li, "Light beams with flat-topped profiles," Opt. Lett. 27, 1007-1009 (2002). [CrossRef]
  4. Y. Li, "New expressions for flat-topped light beams," Opt. Commun. 206, 225-234 (2002). [CrossRef]
  5. F. Gori, "Flattened Gaussian beams," Opt. Commun. 107, 335-341 (1994). [CrossRef]
  6. Y. Baykal and H. T. Eyyuboğlu, "Scintillation index of flat-topped-Gaussian beams," Appl. Opt. 45 (2006). [CrossRef] [PubMed]
  7. X. Ji and B. Lü, "Propagation of a flattened Gaussian beam through multi-apertured optical ABCD systems," Optik 114, 394-400 (2003). [CrossRef]
  8. Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004). [CrossRef]
  9. Y. Cai and Q. Lin, "A partially coherent elliptical flattened Gaussian beam and its propagation," J. Opt. A: Pure Appl. Opt. 6, 1061-1066 (2004). [CrossRef]
  10. V. Bagini, R. Borghi, F. Gori, M. Santarsiero, D. Ambrosini, and G. S. Spagnolo, "Propagation of axially symmetric flattened Gaussian beams," J. Opt. Soc. Am. A 13, 1385-1394 (1996). [CrossRef]
  11. N. Zhou, G. Zeng, and L. Hu, "Algorithms for flattened Gaussian beams passing through apertured and unapertured paraxial ABCD optical systems," Opt. Commun. 240, 299-306 (2004). [CrossRef]
  12. B. Lü and S. Lou, "General propagation equation of flattened Gaussian beams," J. Opt. Soc. Am. A. 17, 2001-2004 (2000). [CrossRef]
  13. B. Lü and H. Ma, "Coherent and incoherent off-axial Hermite-Gaussian beam combinations," Appl. Opt. 39, 1279-1289 (2000). [CrossRef]
  14. D. Ge, Y. Cai, and Q. Lin, "Partially coherent flat-topped beam and its propagation," Appl. Opt. 43,4732-4738 (2004). [CrossRef] [PubMed]
  15. J. Zhang and Y. Li, "Atmospherically turbulent effects on partially coherent flat-topped Gaussian beam," in Optical Technologies for Atmospheric, and Environmental Studies, D. Lu and G. G. Matvienko, eds., Proc. SPIE 5832, 48-55 (2005). [CrossRef]
  16. W.H. Carter, "Spot size and divergence for Hermite Gaussian beams of any order,"Appl. Opt. 19,1027-1029 (1980). [CrossRef] [PubMed]
  17. H. T. Eyyuboğlu and Y. Baykal, "Hermite-sine-Gaussian and Hermite-sinh-Gaussian laser beams in turbulent atmosphere," J. Opt. Soc. Am. A 22,2709-2718 (2005). [CrossRef]
  18. H. Mao, D. Zhao, F. Jing, and H. Liu, "Propagation characteristics of the kurtosis parameters of flat-topped beams passing through fractional Fourier transformation systems with a spherically aberrated lens," J. Opt. A: Pure Appl. Opt. 6,640-650 (2004). [CrossRef]
  19. J. E. Harvey and J. L. Forgham, "The spot of Arago: New relevance for an old phenomenon," Am. J. Phys. 52, 243-247 (1984). [CrossRef]
  20. Y. Cai and S. He "Average intensity and spreading of an elliptical Gaussian beam in a turbulent atmosphere," Opt. Lett. 31, 568-570 (2006). [CrossRef] [PubMed]
  21. Y. Cai and S. He "Propagation of various dark hollow beams in a turbulent atmosphere," Opt. Express 14, 1353-1367 (2006). [CrossRef] [PubMed]

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