Skip to main content
SpringerLink
Log in

On an integral equation arising in the transport of radiation through a slab involving internal reflection

  • Statistical Physics and Biological Information
  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

The integral equation derived by Nieuwenhuizen and Luck for transmission of radiation through an optically thick diffusive medium is reconsidered in the light of radiative transfer theory and extended to slabs of arbitrary thickness.

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

  • B. Davison, Neutron Transport Theory (Oxford University Press, 1957)

  • M.M.R. Williams, Mathematical Methods in Particle Transport Theory (Butterworths, 1971)

  • M. Born, E. Wolf, Principles of Optics, 7th edn. (Cambridge University Press, 1999)

  • S. Chandrasekhar, Radiative Transfer (Dover Publications, 1960)

  • R.L. Fante, J. Opt. Soc. Am. 71, 460 (1981)

    Google Scholar 

  • Th.M. Nieuwenhuizen, J.M. Luck, Phys. Rev. E 48, 569 (1993)

    Google Scholar 

  • M.C.W. van Rossum, Th.M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999)

    Google Scholar 

  • J.M. Luck, Th.M. Nieuwenhuizen, Eur. Phys. J. B 7, 483 (1999)

    Article  Google Scholar 

  • G.D. Mahan, Many particle Physics (Plenum, New York, 1981)

  • J. Chernick, I. Kaplan, J. Nucl. Energ. 2, 41 (1955)

    Google Scholar 

  • M.M.R. Williams, The albedo problem with Fresnel reflection, J. Quant. Spectrosc. Ra., in press

Download references

Author information

Authors and Affiliations

  1. Computational Physics and Geophysics, Department of Earth Science and Engineering, Imperial College of Science, Technology and Engineering, Prince Consort Road, London, SW7 2BP, UK

    M. M.R. Williams

Authors
  1. M. M.R. Williams
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. M.R. Williams.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Williams, M. On an integral equation arising in the transport of radiation through a slab involving internal reflection. Eur. Phys. J. B 47, 291–293 (2005). https://doi.org/10.1140/epjb/e2005-00330-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2005-00330-1

Keywords

Search

Navigation