Skip to main content

Estimation of anisoplanatism in the turbulent structured atmosphere

Abstract

A method is proposed for the simplified numerical estimation of the anisoplanatism of an adaptive optical system operating in the observational mode through the turbulent atmosphere. The method takes into account the finite value of the outer scale of turbulence and allows for the anisoplanatism to be estimated for the inhomogeneous atmosphere with different distributions of the parameters over the path. The different distributions of C 2 n corresponding to vertical and horizontal atmospheric paths have been simulated. It is shown that the distribution of inhomogeneities on the path significantly affects the anisoplanatism.

This is a preview of subscription content, access via your institution.

References

  1. V. P. Lukin, Atmospheric Adaptive Optics (Nauka, Novosibirsk, 1986; SPIE Press Monograph, PM23, Bellingham, Wash. 1996).

    Google Scholar 

  2. R. R. Parenti and R. J. Sasiela, “Laser-Guide-Star Systems for Astronomical Applications,” J. Opt. Soc. Am. A 11, 288–309 (1994).

    Article  ADS  Google Scholar 

  3. L. D. Fried, “Anisoplanatism in Adaptive Optics,” J. Opt. Soc. Am. 72, 52–61 (1982).

    Article  ADS  Google Scholar 

  4. R. J. Noll, “Zernike Polynomials and Atmospheric Turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).

    Article  ADS  Google Scholar 

  5. P. H. Hu, J. Stone, and T. Stanley, “Application of Zernike Polynomials to Atmospheric Propagation Problems,” J. Opt. Soc. Am. A 6, 1595–1608 (1989).

    Article  ADS  Google Scholar 

  6. V. I. Shmalhausen and N. A. Yaitskova, “Correction Error in Extended Objects Imaging through Turbulent Atmosphere,” Opt. Atmosf. Okeana 9, 1462–1471 (1996).

    Google Scholar 

  7. L. A. Bol’basova and V. P. Lukin, “Modal Anisoplanatism of Phase Fluctuations,” Opt. Atmosf. Okeana 21, 1070–1075 (2008).

    Google Scholar 

  8. D. M. Winker, “Effect of a Finite Outer Scale on the Zernike Decomposition of Atmospheric Optical Turbulence, J. Opt. Soc. Am. A 8, 1568–1573 (1991).

    Article  ADS  Google Scholar 

  9. N. Takato and I. Yamaguchi, “Spatial Correlation of Zernike Phase-Expansion Coefficients for Atmospheric Turbulence with Finite Outer Scale,” J. Opt. Soc. Am. A 12, 958–963 (1995).

    Article  ADS  Google Scholar 

  10. V. P. Lukin, E. V. Nosov, and B. V. Fortes, “The Efficient Outer Scale of Atmospheric Turbulence,” Opt. Atmosf. Okeana 10(2), 162–171 (1997) [Atm. Ocean Opt. 10, 100–106 (1997)].

    Google Scholar 

  11. R. Buckley, “Diffraction by a Random Phase-Changing Screen. A Numerical Experiment,” J. Atmos. Terr. Phys. 37(12), 1431–1446 (1975).

    Article  ADS  Google Scholar 

  12. L. D. Fried and T. Clark, “Extruding Kolmogorov-Type Phase Screen Ribbons,” J. Opt. Soc. Am. A 25(2), 463–468 (2008).

    Article  ADS  Google Scholar 

  13. A. V. Koryabin and V. I. Shmal’gausen, “Moving Spatial Filtering Method in Atmospheric Turbulence Simulation,” Opt. Atmosf. Okeana 19(10), 909–914 (2006).

    Google Scholar 

  14. N. G. Iroshnikov, A. V. Larichev, A. V. Koryabin, and V. I. Shmal’gausen, “Express Analysis of Turbulence Parameters,” Vestn. Mosc. Univ., Ser. 3, No. 5, 74–77 (2009) [Mosc. Univ. Bull., No. 5, 550–554 (2009)].

  15. V. P. Aksenov, V. A. Banakh, V. V. Valuev, V. E. Zuev, V. V. Morozov, I. N. Smalikho, and R. Sh. Tsvyk, High-Power Laser Beams in a Randomly Inhomogeneous Atmosphere (Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 1998) [in Russian].

    Google Scholar 

  16. M. E. Gracheva and A. S. Gurvich, “Simple Model for Calculation of Turbulent Noise in Optical Systems,” Izv. AN SSSR, Fiz. Atmosf. Okeana 16, 1107–1111 (1980).

    ADS  Google Scholar 

  17. S. F. Clifford, in Laser Beam Propagation in the Atmo-sphere, Ed. J. W. Strohbehn (Springer, Berlin, 1978; Mir, Moscow, 1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.A. Kulikov, V.I. Shmal’gauzen, 2010, published in Optica Atmosfery i Okeana.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kulikov, V.A., Shmal’gauzen, V.I. Estimation of anisoplanatism in the turbulent structured atmosphere. Atmos Ocean Opt 23, 241–245 (2010). https://doi.org/10.1134/S1024856010030140

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1024856010030140

Keywords

  • Astigmatism
  • Adaptive Optic
  • Turbulent Atmosphere
  • Phase Screen
  • Outer Scale