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Scintillation Index of a Spherical Wave Propagating Through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink at Large Zenith Angles

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Journal of Russian Laser Research Aims and scope

Abstract

Under the background that the Earth’s aerosphere contains Kolmogorov and non-Kolmogorov turbulence, it is significant to research the combined influence of these two kinds of atmospherical turbulence on laser-satellite communication. In this paper, based on the power spectra of refractive-index fluctuations for non-Kolmogorov turbulence in the free troposphere and stratosphere, using the extended Rytov theory, the scintillation indices of the spherical wave in the free troposphere and the stratosphere are derived, respectively, which are valid in all regimes of turbulent fluctuations. On this basis, using a three-layer altitude-dependent turbulent spectrum model for vertical/slant path describing the variations of turbulent statistical characteristics with altitude in the aerosphere, which is more accurate than the two-layer model, we present the scintillation index of a spherical wave propagating through Kolmogorov and non-Kolmogorov turbulence along laser-satellite communication uplink at large zenith angles and estimate the combined influence of Kolmogorov and non-Kolmogorov turbulence on the scintillation index. It is noteworthy that this expression is also valid in all regimes of turbulent fluctuations.

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References

  1. S. Arnon, J. R. Barry, G. K. Karagiannidis, et al., Advanced Optical Wireless Communication Systems, Cambridge University Press, Cambridge, New York, Melbourne, Madrid, and Cape Town (2012).

  2. L. C. Andrews and R. L. Philips, Laser Beam Propagation through Random Media, SPIE, The International Society for Optical Engineering Press, Bellingham, WA (2005).

  3. S. Constantine, L. E. Elgin, M. L. Stevens, et al., Proc. SPIE, 7932, 792308-1 (2011).

    Google Scholar 

  4. X. Sun, D. R. Skillman, E. D. Hoffman, et al., Opt. Express, 21, 1865 (2013).

    Article  ADS  Google Scholar 

  5. K. Bohmer, M. Gregory, F. Heine, et al., Proc. SPIE, 8246, 82460D (2012).

    Article  Google Scholar 

  6. T. Tolker-Nielsen and G. Oppenhaeuser, Proc. SPIE, 4635, 1 (2002).

    Article  ADS  Google Scholar 

  7. T. Jono, Y. Takayama, N. Kura, et al, Proc. SPIE, 6105, 13 (2006).

    Google Scholar 

  8. B. Smutny, H. Kaempfner, G. Muehlnikel, et al., Proc. SPIE, 7199, 719906 (2009).

    Article  Google Scholar 

  9. V. Sharma and N. Kumar, Opt. Commun., 286, 99 (2013).

    Article  ADS  Google Scholar 

  10. M. Toyoshima, Y. Takayama, H. Kunimori, et al, Proc. SPIE, 6709, 67091C (2007).

    Article  ADS  Google Scholar 

  11. M. W. Wright, M. Srinivasan, and K. Wilson, IPN Progress Report, 42 (2005).

  12. G. M. Dalaudier, A. S. Gurvich, V. Kan, and C. Sidi, Adv. Space Res., 14, 61 (1994).

    Article  ADS  Google Scholar 

  13. A. Zilberman, E. Golbraikh, N. S. Kopeika, et al., Atmos. Res., 88, 66 (2008).

    Article  Google Scholar 

  14. D. T. Kyrazis, J. B. Wissler, D. D. B. Keating, et al., Proc. SPIE, 2120, 43 (1994).

    Article  ADS  Google Scholar 

  15. B. E. Stribling, B. M. Welsh, and M. C. Roggemann, Proc. SPIE, 2471, 181 (1995).

    Article  ADS  Google Scholar 

  16. G. D. Boreman and C. Dainty, J. Opt. Soc. Am. A, 13, 517 (1996).

    Article  ADS  Google Scholar 

  17. C. Rao, W. Jiang, and N. Ling, J. Mod. Opt., 47, 1111 (2000).

    Article  ADS  Google Scholar 

  18. L. Zunino, D. G. Perez, and M. Garavaglia, Appl. Opt., 40, 3441 (2001).

    Article  Google Scholar 

  19. G. Wang, Proc. SPIE, 6027, 602716-1 (2006).

    Google Scholar 

  20. I. Toselli, L. C. Andrews, R. L. Phillips, and V. Ferreroa, Proc. SPIE, 6551, 65510E-1 (2007).

    Article  Google Scholar 

  21. L. Cui, D. Xue, G. Cao, et al., Opt. Express, 18, 21269 (2010).

    Article  Google Scholar 

  22. G. Wu, H. Guo, S. Yu, and B. Luo, Opt. Lett., 35, 715 (2010).

    Article  ADS  Google Scholar 

  23. P. Zhou, Y. Ma, X. Wang, et al., Opt. Lett., 35, 1043 (2010).

    Article  ADS  Google Scholar 

  24. E. Shchepakina and O. Korotkova, Opt. Express, 18, 10650 (2010).

    Article  ADS  Google Scholar 

  25. H. Tang, B. Ou, B. Luo, et al., J. Opt. Soc. Am. A, 28, 1016 (2011).

    Article  ADS  Google Scholar 

  26. L. Cui, B. Xue, L. Cao, et al., Opt. Express, 19, 16872 (2011).

    Article  ADS  Google Scholar 

  27. B. Xue, L. Cao, L. Cui, et al., Opt. Commun., 300, 114 (2013).

    Article  ADS  Google Scholar 

  28. L. Cui, B. Xue, and X. Cao, J. Opt. Soc. Am. A, 30, 1738 (2013).

    Article  ADS  Google Scholar 

  29. L. Cui, B. Xue, W. Xue, et al., Infrared Phys. Technol., 44, 2453 (2012).

    Google Scholar 

  30. B. Xue, L. Cui, W. Xue, et a., Opt. Express, 19, 8433 (2011).

  31. I. Toselli, B. Agrawal, and S. Restaino, J. Opt. Soc. Am. A, 28, 483 (2011).

    Article  ADS  Google Scholar 

  32. H. Xu, Z. Cui, and Jun Qu, Opt. Express, 19, 21163 (2011).

    Article  ADS  Google Scholar 

  33. X. He and B. Li, J. Opt. Soc. Am. A, 28, 1941 (2011).

    Article  ADS  Google Scholar 

  34. J. Cang and X. Liu, Opt. Express, 19, 19067 (2011).

    Article  ADS  Google Scholar 

  35. V. S. R. Gudimetla, R. B. Holmes, T. C. Farrell, and J. Lucas, Proc. SPIE, 8038, 803808-1 (2011).

    Google Scholar 

  36. L. Tan, W. Du, J. Ma, et al., Opt. Express, 18, 451 (2010).

    Article  ADS  Google Scholar 

  37. W. Du, L. Tan, J. Ma, and Y. Jiang, Opt. Express, 18, 5763 (2010).

    Article  ADS  Google Scholar 

  38. W. Du, S. Yu, L. Tan, et al., Opt. Commun., 282, 705 (2009).

    Article  ADS  Google Scholar 

  39. L. Tan, W. Du, and J. Ma, J. Russ. Laser Res., 30, 557 (2009).

    Article  Google Scholar 

  40. W. Du, L. Tan, and J. Ma, J. Opt., 28, 20 (2008).

    Google Scholar 

  41. W. Du, J. Yang, Z. Yao, et al., J. Russ. Laser Res., 35, 415 (2014).

    Article  Google Scholar 

  42. W. Du, J. Yang, Z. Yao, et al., J. Russ. Laser Res., 36, 355 (2015).

    Article  Google Scholar 

  43. W. Du, X. Cheng, Y. Wang, et al., J. Russ. Laser Res., 41, 616 (2020).

    Article  Google Scholar 

  44. W. Du, F. Chen, Z. Yao, et al., J. Russ. Laser Res., 34, 255 (2013).

    Article  Google Scholar 

  45. W. Du, H. Zhu, Da Liu, et al., J. Russ. Laser Res., 33, 401 (2012).

    Google Scholar 

  46. A. Consortini, C. Innocenti, and G. Paoli, Opt. Commun., 214, 9 (2002).

    Article  ADS  Google Scholar 

  47. W. Du, Z. Yao, D. Liu, et al., J. Russ. Laser Res., 33, 90 (2012).

    Article  Google Scholar 

  48. A. Zilberman, E. Golbraikh, S. Arnon, and N. S. Kopeika, Proc. SPIE, 6709, 67090K-1 (2007).

    Article  Google Scholar 

  49. X. Chu, C. Qiao, X. Feng, and R. Chen, Appl. Opt., 50, 3871 (2011).

    Article  ADS  Google Scholar 

  50. A. S. Gurvich and M. S. Belen’kii, J. Opt. Soc. Am. A, 12, 2517 (1995).

    Article  ADS  Google Scholar 

  51. M. S. Belen’kii, Opt. Lett., 20, 1359 (1995).

    Article  ADS  Google Scholar 

  52. S. Fu, L. Tan, J. Ma, and Y. Zhou, J. Russ. Laser Res., 31, 332 (2010).

    Article  Google Scholar 

  53. A. Zilberman, E. Golbraikh, and N. S. Kopeika, Appl. Opt., 47, 6385 (2008).

    Article  ADS  Google Scholar 

  54. X. Yi, Z. Liu, and P. Yue, Optik, 124, 2916 (2013).

    Article  ADS  Google Scholar 

  55. R. R. Beland, Proc. SPIE, 2375, 6 (1995).

    Article  ADS  Google Scholar 

  56. A. Zilberman, E. Golbraikh, and N. S. Kopeika, Opt. Commun., 283, 1229 (2010).

    Article  ADS  Google Scholar 

  57. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Opt. Eng., 39, 3272 (2000).

    Article  ADS  Google Scholar 

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Du, W., Yuan, Q., Cheng, X. et al. Scintillation Index of a Spherical Wave Propagating Through Kolmogorov and Non-Kolmogorov Turbulence along Laser-Satellite Communication Uplink at Large Zenith Angles. J Russ Laser Res 42, 198–209 (2021). https://doi.org/10.1007/s10946-021-09951-8

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  • DOI: https://doi.org/10.1007/s10946-021-09951-8

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