Skip to main content
Log in

Boundary Radiation Transfer Through a Planar Layer

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

We consider the problem of radiative transfer through a planar layer in a special “boundary” statement proposed by V. A. Ambartsumian. We obtain a representation formula for the operator matrix constructed of transmission and reflection operators. Bibliography: 6 titles. Illustrations: 2 figures.

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.

Similar content being viewed by others

References

  1. J. Spanier and E. M. Gelbard, Monte Carlo Principles and Neutron Transport. Addison-Wesley, London etc. (1969).

    MATH  Google Scholar 

  2. G. I. Marchuk, G. I. Mikhailov et al., The Monte Carlo Method in Atmospheric Optics [in Russian], Nauka, Novosibirsk (1976): Engl. transl.: Springer, Berlin (1980).

    Book  Google Scholar 

  3. V. A. Ambartsumyan, The scattering of light by planetary atmospheres” [in Russian] Astr. Zh. 19, 30–41 (1942).

    Google Scholar 

  4. V. A. Ambartsumyan, “Diffuse reflection of light by a foggy medium,” Comptes Rendus (Doklady) de l’USSR 38, No. 8, 229–232 (1943).

    Google Scholar 

  5. V. A. Ambartsumyan, “On the problem of the diffuse reflection of light,” J. Phys. USSR 8, No. 1, 65 (1944).

    Google Scholar 

  6. M. V. Maslennikov, “The Milne problem with anisotropic scattering” [in Russian], Tr. Mat. Inst. V. A. Stekov, 97 (1968); English transl.: Proc. Steklov Inst. Math. 97 (1968).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. S. Antyufeev.

Additional information

Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 1, 2013, pp. 13–23.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Antyufeev, V.S. Boundary Radiation Transfer Through a Planar Layer. J Math Sci 203, 427–435 (2014). https://doi.org/10.1007/s10958-014-2146-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-014-2146-y

Keywords

Navigation