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Optical propagation through non-Kolmogorov turbulence

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Abstract

In this paper, the effects of the generalized exponent, the height and the zenith angle on the log-amplitude variance in the weak fluctuation are investigated. The theoretical results indicate that for the downlink, the log-amplitude variance of the Kolmogorov model is always smaller than that of the three-layer model, while for the uplink, there is a point of intersection in the log-amplitude variance curves of the two models. The different phenomena for the downlink and uplink are analyzed in detail. Further, we find a method to ascertain precise values of the boundary layer altitudes for the three-layer model under various atmospheric conditions through the analysis for the point of intersection. And at the point of intersection, the Kolmogorov model can be used to replace the three-layer model to simplify the analysis of the system performance. Moreover, the log-amplitude variance increases with the increase of the zenith angle.

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References

  1. Rao C H, Jiang W H, Ling N. Atmospheric characterization with Shack-Hartmann wave-front sensors for non-Kolmogorov turbulence. Opt Eng, 2002, 41: 534–541

    Article  Google Scholar 

  2. Zilberman A, Golbraikh E, Kopeika N S, et al. Lidar study of aerosol turbulence characteristics in the troposphere: Kolmogorov and non-Kolmogorov turbulence. Atmos Res, 2008, 88: 66–77

    Article  Google Scholar 

  3. Kyrazis D T, Wissler J B, Keating D D B, et al. Measurement of optical turbulence in the upper troposphere and lower stratosphere. P SPIE, 1994, 2120: 43–55

    Article  Google Scholar 

  4. Dayton D, Pierson B, Spielbusch B, et al. Atmospheric structure function measurements with a Shack-Hartmann wave front sensor. Opt Lett, 1992, 17: 1737–1739

    Article  Google Scholar 

  5. Rao C H, Jiang W H, Ling N. Measuring the power-law exponent of an atmospheric turbulence phase power spectrum with a Shack Hartmann wave-front sensor. Opt Lett, 1999, 24: 1008–1010

    Article  Google Scholar 

  6. Belen’kii M S. Effect of the stratosphere on star image motion. Opt Lett, 1995, 20: 1359–1361

    Article  Google Scholar 

  7. Belen’kii M S, Karis S J, Osmon C L, et al. Experimental evidence of the effects of non-Kolmogorov turbulence and anisotropy of turbulence. P SPIE, 1999, 3749: 50–51

    Article  Google Scholar 

  8. Beland R R. Some aspects of propagation through weak isotropic non-Kolmogorov turbulence. P SPIE, 1995, 2375: 6–16

    Article  Google Scholar 

  9. Toselli I, Andrews L C, Phillips R L, et al. Free space optical system performance for laser beam propagation through non Kolmogorov turbulence for uplink and downlink paths. P SPIE, 2007, 6708: 670803

    Article  Google Scholar 

  10. Zilberman A, Golbraikh E, Kopeika N S. Propagation of electromagnetic waves in Kolmogorov and non-Kolmogorov atmospheric turbulence: three-layer altitude model. Appl Opt, 2008, 47: 6385–6391

    Article  Google Scholar 

  11. Zilberman A, Golbraikh E, Kopeika N S. Some limitations on optical communication reliability through Kolmogorov and non-Kolmogorov turbulence. Opt Commun, 2010, 283: 1229–1235

    Article  Google Scholar 

  12. Kopeika N S, Zilberman A, Golbraikh E. Imaging and communications through non-Kolmogorov turbulence. P SPIE, 2009, 7463: 746307

    Article  Google Scholar 

  13. Tan L Y, Du W H, Ma J, et al. Log-amplitude variance for a Gaussian-beam wave propagating through non-Kolmogorov turbulence. Opt Express, 2010, 18: 451–462

    Article  Google Scholar 

  14. Majumdar A K, Ricklin J C. Effects of the atmospheric channel on free-space laser communications. P SPIE, 2005, 5892: 58920K

    Article  Google Scholar 

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Correspondence to Hua Tang.

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Tang, H., Ou, B. Optical propagation through non-Kolmogorov turbulence. Sci. China Inf. Sci. 56, 1–6 (2013). https://doi.org/10.1007/s11432-011-4521-3

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  • DOI: https://doi.org/10.1007/s11432-011-4521-3

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