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Propagation of laser array beams in a turbulent atmosphere

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Abstract

The propagation of phase-locked and non-phase-locked laser array beams of radial and rectangular symmetries in a turbulent atmosphere are investigated based on the extended Huygens–Fresnel integral. The beamlet used in our paper for constructing the laser array beams is of elliptical Gaussian mode. Analytical formulae for the average irradiance of phase-locked and non-phase-locked radial and rectangular laser array beams are derived through vector integration and tensor operation. The irradiance properties of these laser array beams in a turbulent atmosphere are studied numerically. It is found that both phase-locked and non-phase-locked radial and rectangular laser array beams eventually become circular Gaussian beams in a turbulent atmosphere, which is much different from their propagation properties in free space. The propagation properties are closely related to the parameters of laser array beams and the structure constant of the turbulent atmosphere.

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References

  1. A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 2 (Academic, New York, 1978)

  2. C.C. Davis, I.I. Smolyaninov, S.D. Milner, IEEE Commun. Mag. 41, 51 (2003)

    Google Scholar 

  3. H. Izadpanah, T. Elbatt, V. Kukshya, F. Dolezal, B.K. Ryu, IEEE Wireless Commun. 10, 45 (2003)

  4. J.W. Strohbehn, Laser Beam Propagation in the Atmosphere (Springer, New York, 1978)

    Google Scholar 

  5. Z.I. Feizulin, Y.A. Kravtsov, Radiophys. Quantum Electron. 10, 33 (1967)

    Article  ADS  Google Scholar 

  6. V.A. Banakh, V.L. Mironov, Opt. Lett. 1, 172 (1977)

    ADS  Google Scholar 

  7. V.A. Banakh, V.L. Mironov, Opt. Lett. 4, 259 (1979)

    ADS  Google Scholar 

  8. V.A. Banakh, A.Z. Vagner, Atmosph. Ocean. Opt. 5, 24 (1992)

    Google Scholar 

  9. M.I. Charnotskii, J. Gozani, V.I. Tatarskii, V.U. Zavorotny, Progress in Optics, Vol XXXII, ed. by E. Wolf (North-Holland, Amsterdam, 1993), p. 203

  10. C.Y. Young, Y.V. Gilchrest, B.R. Macon, Opt. Eng. 41, 1097 (2002)

    Article  ADS  Google Scholar 

  11. J.C. Leader, J. Opt. Soc. Am. 68, 175 (1978)

    ADS  Google Scholar 

  12. J.C. Ricklin, F.M. Davidson, J. Opt. Soc. Am. A 19, 1794 (2002)

    ADS  Google Scholar 

  13. J. Wu, J. Mod. Opt. 37, 671 (1990)

    Article  ADS  Google Scholar 

  14. Y. Cai, S. He, Appl. Phys. Lett. 89, 041117 (2006)

    Article  ADS  Google Scholar 

  15. H.T. Eyyuboğlu, Y. Baykal, Opt. Express 12, 4659 (2004)

    Article  ADS  Google Scholar 

  16. H.T. Eyyuboğlu, A. Arpali, Y. Baykal, Opt. Express 14, 4196 (2006)

    Article  ADS  Google Scholar 

  17. C. Arpali, C. Yazicioglu, H.T. Eyyuboğlu, S.A. Arpali, Y. Baykal, Opt. Express 14, 8919 (2006)

    Article  ADS  Google Scholar 

  18. Y. Baykal, H.T. Eyyuboğlu, Appl. Opt. 45, 3793 (2006)

    Article  ADS  Google Scholar 

  19. H.T. Eyyuboğlu, Y. Baykal, J. Opt. Soc. Am. A 24, 156 (2007)

    Article  ADS  Google Scholar 

  20. Y. Cai, S. He, Opt. Lett. 31, 568 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. D.P. Crawford, Proc. SPIE 1221, 132 (1990)

    Article  ADS  Google Scholar 

  23. J.R. Cook, J.R. Albertine, Proc. SPIE 2988, 264 (1997)

    ADS  Google Scholar 

  24. N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, M. Nakatsuka, Opt. Rev. 7, 216 (2000)

    Article  Google Scholar 

  25. C. Du, S. Ruan, H. Zhang, Y. Yu, F. Zeng, J. Wang, M. Jiang, Appl. Phys. B 80, 45 (2005)

    Article  ADS  Google Scholar 

  26. R.A. Chodzko, J.M. Bernzard, H. Mirels, Proc. SPIE 1224, 239 (1990)

    Article  ADS  Google Scholar 

  27. C. Corsi, A. Tortora, M. Bellini, Appl. Phys. B 78, 299 (2004)

    Article  ADS  Google Scholar 

  28. L. Liu, Z. Shao, H. Zhang, X. Meng, L. Zhu, M. Jiang, Appl. Phys. B 69, 241 (1999)

    Article  ADS  Google Scholar 

  29. G.L. Schuster, J.R. Andrews, Appl. Opt. 34, 6801 (1995)

    ADS  Google Scholar 

  30. H.J. Baker, D.R. Hall, A.M. Hornby, R.J. Morley, M.R. Taghizaden, E.F. Yelden, IEEE J. Quantum Electron. QE-32, 400 (1996)

    Article  ADS  Google Scholar 

  31. K.M. Abramski, A.D. Colley, H.J. Baker, D.R. Hall, IEEE J. Quantum Electron. QE-32, 340 (1996)

    Article  ADS  Google Scholar 

  32. E.F. Yelden, H.J.J. Seguin, C.E. Capjack, S.K. Nikumb, Appl. Phys. Lett. 58, 693 (1991)

    Article  ADS  Google Scholar 

  33. E.F. Yelden, H.J.J. Seguin, C.E. Capjack, H. Reshef, J. Opt. Soc. Am. B 10, 1475 (1993)

    ADS  Google Scholar 

  34. E.F. Yelden, S.W.C. Scott, J.D. Strohschein, H.J.J. Seguin, C.E. Capjack, H.W. Reshef, IEEE J. Quantum Electron. QE-30, 1868 (1994)

    Article  ADS  Google Scholar 

  35. W.D. Bilida, J.D. Strohschein, H.J.J. Seguin, Proc. SPIE 2987, 13 (1997)

    Article  ADS  Google Scholar 

  36. J.D. Strohschein, H.J.J. Seguin, C.E. Capjack, Appl. Opt. 37, 1045 (1998)

    ADS  Google Scholar 

  37. C. Palma, Appl. Opt. 36, 1116 (1997)

    Article  ADS  Google Scholar 

  38. A.R. Al-Rashed, B.E.A. Saleh, Appl. Opt. 34, 6819 (1995)

    Article  ADS  Google Scholar 

  39. L. Marti-Lopez, O. Mendoza-Yero, J.J.J. Dirckx, J. Opt. Soc. Am. A 19, 1572 (2002)

    ADS  Google Scholar 

  40. Y. Cai, Q. Lin, Appl. Opt. 41, 4336 (2002)

    ADS  Google Scholar 

  41. Y. Cai, Q. Lin, J. Opt. Soc. Am. A 20, 1111 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  42. J.A. Arnaud, Progress in Optics, Vol XI, ed. by E. Wolf (North-Holland, Amsterdam, 1973), p. 247

  43. Q. Lin, S. Wang, J. Alda, E. Bernabeu, Optik 85, 67 (1990)

    Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Research-Group, Institute of Optics, Information and Photonics, University of Erlangen, Staudtstr. 7/B2, 91058, Erlangen, Germany

    Y. Cai & Y. Chen

  2. Department of Microelectronics and Information Technology, Royal Institute of Technology, Electrum 229, 16440, Kista, Sweden

    Y. Cai & Y. Chen

  3. Department of Electronic and Communication Engineering, Çankaya University, Öğretmenler Cad. 14, Yüzüncüyil, 06530, Balgat Ankara, Turkey

    H.T. Eyyuboğlu & Y. Baykal

Authors
  1. Y. Cai
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  2. Y. Chen
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  3. H.T. Eyyuboğlu
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  4. Y. Baykal
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Correspondence to Y. Cai.

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PACS

42.25.Bs; 41.85.Ew; 42.68.Ay

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Cai, Y., Chen, Y., Eyyuboğlu, H. et al. Propagation of laser array beams in a turbulent atmosphere. Appl. Phys. B 88, 467–475 (2007). https://doi.org/10.1007/s00340-007-2680-0

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  • DOI: https://doi.org/10.1007/s00340-007-2680-0

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