Skip to main content
Log in

Diffusion of Radiation in Inhomogeneous Turbulent Atmospheres

  • Published:
Astrophysics Aims and scope

The model problem of the formation of spectral lines in an absorbing and scattering atmosphere of finite optical depth with developed turbulence is stated and solved. The purpose of this paper is to clarify the influence of different kinds of spatial correlated nonthermal motions on observed line profiles. The method of invariant imbedding is used; it enables solution of this problem under rather general assumptions about the character of the turbulence, as well as about elementary scattering events and the distribution of energy sources in the medium. Special attention is devoted to the limits of macro- and microturbulence. It is shown that in the case of microturbulence, the reflectivity of the medium and its opacity are greater over the entire frequency range. It is also found that the dependence of the observed characteristics on the correlation length is stronger when medium is thicker and the average velocity of the turbulent motions is higher.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. F. Gray, Sol. Phys. 59, 193 (1978).

    Article  ADS  Google Scholar 

  2. A. G. Nikoghossian, Astrofizika 50, 219 (2007), [Astrophysics, 50, 175 (2007)].

    Google Scholar 

  3. M. Auvergne, H. Frish, Ch. Froeschle, and A. Pouquet, Astron. Astrophys. 29, 93 (1973).

    ADS  Google Scholar 

  4. H. Frish, Astron. Astrophys. 40, 267 (1975).

    ADS  Google Scholar 

  5. H. Frish and U. Frish, Mon. Not. Roy. Astron. Soc. 175, 157 (1976).

    Article  ADS  Google Scholar 

  6. H. P. Gail and E. Sedlmayr, Astron. Astrophys. 36, 17 (1974).

    ADS  Google Scholar 

  7. H. P. Gail, E. Sedlmayr, and G. Traving, Astron. Astrophys. 44, 421 (1975).

    ADS  Google Scholar 

  8. E. Hundt, Astron. Astrophys. 29, 17 (1973).

    ADS  Google Scholar 

  9. A. G. Nikoghossian, Astrofizika 50, 321 (2007), [Astrophysics, 50, 391 (2007)].

    Google Scholar 

  10. A. G. Nikoghossian, Light Scat. Rev. 8, 425 (2013).

    Google Scholar 

  11. C. Magnan, J. Quant. Spectrosc. Radiat. Transfer 15, 979 (1975).

    Article  ADS  Google Scholar 

  12. E. S. Ventsel’, Probability Theory [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  13. G. Batchelor, The Theory of Homogeneous Turbulence, Cambridge, Cambridge Univ. Press. 1970).

    MATH  Google Scholar 

  14. A. T. Bharucha-Reid, Elements of the Theory of Markov Processes and Their Applications, New York, McGraw-Hill (1960).

    MATH  Google Scholar 

  15. M. S. Bartlett, An Introduction to Stochastic Processes, Cambridge Univ. Press (1965).

  16. R. Bellman, R. Kalaba, and M. Wing, J. Math. Phys. 1, 280 (1960).

    Article  ADS  Google Scholar 

  17. R. Bellman, R. Kalaba, and M. Prestrud, Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness, Amer. Elsevier (1963).

  18. J. Casti and R. Kalaba, Imbedding Methods in Applied Mathematics [Russian translation], Mir, Moscow (1976).

    MATH  Google Scholar 

  19. A. G. Nikoghossian, Astrofizika 54, 149 (2011), [Astrophysics, 54, 126 (2011)].

    Google Scholar 

  20. A. G. Nikoghossian, Astrofizika 57, 296 (2014), [Astrophysics, 57, 272,2014)].

    Google Scholar 

  21. A. G. Nikoghossian, Astrofizika 57, 407 (2014), [Astrophysics, 57, 375 (2014)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. G. Nikoghossian.

Additional information

Translated from Astrofizika, Vol. 60, No. 3, pp. 443-456 (August 2017).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nikoghossian, A.G. Diffusion of Radiation in Inhomogeneous Turbulent Atmospheres. Astrophysics 60, 408–421 (2017). https://doi.org/10.1007/s10511-017-9494-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10511-017-9494-5

Keywords

Navigation