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M2-factor of a partially coherent Lorentz–Gauss beam in a turbulent atmosphere

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Abstract

Based on the second-order moments of partially coherent beams in atmospheric turbulence, the analytical beam propagation factor of a partially coherent Lorentz–Gauss beam in a turbulent atmosphere is derived. As a special case of the general formula, the beam propagation factor of a partially coherent Lorentz beam in a turbulent atmosphere is also presented. By using the derived analytical expression, the beam propagation factor is illustrated and analyzed with numerical examples, and the influences of the beam parameters a j and w 0j , the coherent parameter τ j , the axial propagation distance z, the structure constant \(C_{n}^{2}\), and the inner scale turbulence l 0 on the beam propagation factor are also discussed in detail.

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References

  1. A. Naqwi, F. Durst, Appl. Opt. 29, 1780 (1990)

    Article  ADS  Google Scholar 

  2. J. Yang, T. Chen, G. Ding, X. Yuan, Proc. SPIE 6824, 68240A (2008)

    Article  Google Scholar 

  3. W.P. Dumke, J. Quantum Electron. 11, 400 (1975)

    Article  ADS  Google Scholar 

  4. O.E. Gawhary, S. Severini, J. Opt. A, Pure Appl. Opt. 8, 409 (2006)

    Article  ADS  Google Scholar 

  5. G. Zhou, J. Zheng, Y. Xu, J. Mod. Opt. 55, 993 (2008)

    Article  MATH  ADS  Google Scholar 

  6. G. Zhou, Appl. Phys. B 93, 891 (2008)

    Article  ADS  Google Scholar 

  7. G. Zhou, J. Opt. Soc. Am. B 26, 141 (2009)

    Article  Google Scholar 

  8. G. Zhou, J. Mod. Opt. 55, 3571 (2008)

    ADS  Google Scholar 

  9. G. Zhou, J. Opt. Soc. Am. A 26, 350 (2009)

    Article  ADS  Google Scholar 

  10. G. Zhou, J. Opt. Soc. Am. A 25, 2594 (2008)

    Article  ADS  Google Scholar 

  11. G. Zhou, Opt. Laser Technol. 41, 953 (2009)

    Article  ADS  Google Scholar 

  12. G. Zhou, Appl. Phys. B 96, 149 (2009)

    Article  ADS  Google Scholar 

  13. O.E. Gawhary, S. Severini, Opt. Commun. 269, 274 (2007)

    Article  ADS  Google Scholar 

  14. A. Torre, W.A.B. Evans, O.E. Gawhary, S. Severini, J. Opt. A, Pure Appl. Opt. 10, 115007 (2008)

    Article  ADS  Google Scholar 

  15. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995)

    Google Scholar 

  16. G. Zhou, J. Opt. 12, 015701 (2010)

    Article  ADS  Google Scholar 

  17. H.T. Eyyuboğlu, J. Opt. Soc. Am. A 22, 1527 (2005)

    Article  ADS  Google Scholar 

  18. Y. Cai, S. He, Opt. Express 14, 1353 (2006)

    Article  ADS  Google Scholar 

  19. Y. Cai, Y. Chen, H.T. Eyyuboğlu, Y. Baykal, Opt. Lett. 32, 2405 (2007)

    Article  ADS  Google Scholar 

  20. H.T. Eyyuboğlu, Appl. Phys. B 88, 259 (2007)

    Article  ADS  Google Scholar 

  21. H.T. Eyyuboğlu, Appl. Phys. B 91, 611 (2008)

    Article  ADS  Google Scholar 

  22. X. Chu, Z. Lu, Y. Wu, Appl. Phys. B 92, 119 (2008)

    Article  ADS  Google Scholar 

  23. Y. Zhu, D. Zhao, X. Du, Opt. Express 16, 18437 (2008)

    Article  ADS  Google Scholar 

  24. D. Zhao, X. Du, Opt. Express 17, 4257 (2009)

    Article  ADS  Google Scholar 

  25. Y. Zhu, D. Zhao, Appl. Phys. B 96, 155 (2009)

    Article  ADS  Google Scholar 

  26. Y. Dan, B. Zhang, Opt. Lett. 34, 563 (2009)

    Article  ADS  Google Scholar 

  27. Y. Yuan, Y. Cai, J. Qu, H.T. Eyyuboğlu, Y. Baykal, O. Korotkova, Opt. Express 17, 17344 (2009)

    Article  ADS  Google Scholar 

  28. L.C. Andrews, R.L. Phillips, Laser Beam Propagation through Random Media, 2nd edn. (SPIE, Bellingham, 2005), p. 100

    Google Scholar 

  29. M.S. Belen, J. Opt. Soc. Am. A 13, 1078 (1996)

    ADS  Google Scholar 

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Zhou, G., Chu, X. M2-factor of a partially coherent Lorentz–Gauss beam in a turbulent atmosphere. Appl. Phys. B 100, 909–915 (2010). https://doi.org/10.1007/s00340-010-4046-2

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  • DOI: https://doi.org/10.1007/s00340-010-4046-2

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