Publication Abstracts

Mishchenko 2003

Mishchenko, M.I., 2003: Radiative transfer theory: From Maxwell's equations to practical applications. In Wave Scattering in Complex Media: From Theory to Applications. B.A. van Tiggelen and S.E. Skipetrov, Eds. Kluwer Academic, pp. 367-414.

Since the pioneering papers by Khvolson and Schuster, the radiative transfer theory (RTT) has been a basic working tool in astrophysics, atmospheric physics, and remote sensing, while the radiative transfer equation (RTE) has become a classical equation of mathematical physics. However, the RTT has been often criticized for its phenomenological character, lack of solid physical background, and unknown range of applicability. The past three decades have demonstrated substantial progress in studies of the statistical wave content of the RTT. This research has resulted in a much better understanding of the physical foundation of the RTT and has ultimately made the RTE a corollary of the statistical electromagnetics.

The aim of this chapter is to demonstrate how the RTE follows from the Maxwell equations when the latter are applied to the problem of multiple electromagnetic scattering in discrete random media and to discuss how this equation can be solved in practice. The following section contains a brief summary of those principles of classical electromagnetics that form the basis of the theory of single light scattering by a small particle. Section 3 outlines the derivation of the general RTE starting from the vector form of the Foldy-Lax equations for a fixed N-particle system and their far-field version. Based on the assumption that particle positions are completely random, the RTE is derived by applying the Twersky approximation to the coherent electric field and the Twersky and ladder approximations to the coherency dyad of the diffuse field in the limit → N. We then discuss in detail the assumptions leading to the RTE and the physical meaning of the quantities entering this equation. The final section describes a general technique for solving the RTE that allows efficient software implementation and leads to physically based practical applications.

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BibTeX Citation

@inbook{mi05800e,
  author={Mishchenko, M. I.},
  editor={van Tiggelen, B. A. and Skipetrov, S. E.},
  title={Radiative transfer theory: From Maxwell's equations to practical applications},
  booktitle={Wave Scattering in Complex Media: From Theory to Applications},
  year={2003},
  pages={367--414},
  publisher={Kluwer Academic},
  address={Dordrecht, the Netherlands},
}

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RIS Citation

TY  - CHAP
ID  - mi05800e
AU  - Mishchenko, M. I.
ED  - van Tiggelen, B. A.
ED  - Skipetrov, S. E.
PY  - 2003
TI  - Radiative transfer theory: From Maxwell's equations to practical applications
BT  - Wave Scattering in Complex Media: From Theory to Applications
SP  - 367
EP  - 414
PB  - Kluwer Academic
CY  - Dordrecht, the Netherlands
ER  -

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