Skip to main content
SpringerLink
Log in

Some new nonlinear relations of radiative transfer theory

  • Reports
  • Published:
Astrophysics Aims and scope

Abstract

This paper presents some new results concerning the generalization and physical interpretation of Rybicki's quadratic and bilinear relations. The fundamental equations obtained on the basis of Ambartsumian's invariance principle and regarded as its extension to all depths in the atmosphere, imply Q- and R-relations have a more general structure than those known up to the present. These equations admit a simple probabilistic interpretation. Some bilinear relations are derived to connect the transfer problems of different sorts. For the sources distributed in the semi-infinite atmosphere by exponential law, separate Q- and R-relations are obtained.

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

Access this article

Log in via an institution

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. G. B. Rybicki, 1977, Astrophys. J.,213, 165.

    Google Scholar 

  2. V. V. Ivanov, 1978, Sov. Astron.,22, 612.

    Google Scholar 

  3. E. G. Yanovitskii, 1981, Sov. Astron.,25, 66.

    Google Scholar 

  4. G. B. Rybicki, 1984, in: Methods in Radiative Transfer, W. Kalkofen (ed.), Cambridge University Press, Cambridge, p. 173.

    Google Scholar 

  5. V. A. Ambartsumian, 1960, Scientific Works, Vol. 1 (Yerevan: Izd. Acad. Nauk Arm. SSR [in Russian]).

  6. S. Chandrasekhar, 1960, Radiative Transfer (New York: Dover).

    Google Scholar 

  7. V. V. Sobolev, 1963, A Treatise on Radiative Transfer (Princeton: van Nostrand).

    Google Scholar 

  8. K. M. Case and P. F. Zweifel, 1967, Linear Transport Theory Reading, Mass.: Addison-Wesley).

    Google Scholar 

  9. R. A. Krikorian and A. G. Nikoghossian, 1995, J. Quant. Spectrosc. Rad. Trans. (in press).

  10. A. G. Nikoghossian and H. A. Haruthyunian, 1979, Astrophys. Sp. Sci.,64, 285.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Byurakan Astrophysical Observatory, 378433, Armenia

    A. G. Nikoghossian

Authors
  1. A. G. Nikoghossian
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Astrofizika, Vol. 38, No. 4, pp. 577–586, October–December, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikoghossian, A.G. Some new nonlinear relations of radiative transfer theory. Astrophysics 38, 319–324 (1995). https://doi.org/10.1007/BF02044704

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02044704

Keywords

Search

Navigation