A derivation of the radiation transfer theory for random media

G. Diener

Physica A: Statistical Mechanics and its Applications, 1981, vol. 106, issue 3, 398-414

Abstract: The wave propagation in a medium with randomly varying material parameters is considered. Starting from a quite general form of the Bethe-Salpeter equation for the two-point moment of the field, a spectral balance equation is derived. In a first step, a Wigner transformation is carried out which converts the two-point moment into a function depending on position, time, wave vector and frequency. Then, for wavelengths which are long compared to the correlation length of the medium, this function is split up into a relevant part and a background. Eliminating the background leads to the usual radiation transfer theory and provides us a general and concise expression for the effective scattering in terms of the effective operators involved in the Bethe-Salpeter equation. In the case of weak heterogeneity, the result reduces to those previously obtained.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:106:y:1981:i:3:p:398-414

DOI: 10.1016/0378-4371(81)90120-5

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