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Two‐frequency radiative transfer equation for scalar waves in a random distribution of discrete scatterers with pair correlations
Author(s) -
Tsolakis A. I.,
Besieris I. M.,
Kohler W. E.
Publication year - 1985
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs020i005p01037
Subject(s) - radiative transfer , physics , scattering , scalar (mathematics) , statistical physics , rayleigh scattering , mathematical analysis , computational physics , mathematics , quantum mechanics , geometry
The Dyson equation and the two‐frequency Bethe‐Salpeter equation for vector‐valued electromagnetic waves in the presence of a random distribution of absorptive discrete scatterers with pair correlations are derived on the basis of the Twersky multiple scattering formalism. These equations are subsequently “scalarized” in the case of a tenuous scatterer distribution and within the framework of the Rayleigh‐Debye condition. A systematic transition is then made to a two‐frequency radiative transfer equation via a phase‐space approach. The main strength of the radiative transfer theory expounded here stems from the fact that it is applicable under conditions of large‐angle scattering, statistical inhomogeneities and statistical anisotropies. It accounts, also, for a variable scatterer density, absorption, and frequency offsets.