Some results from the radiative wave equation for a slab of random, densely-distributed scatterers

Computer Science

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Bethe-Salpeter Equation, Radiative Transfer, Random Processes, Wave Equations, Wave Scattering, Coherence, Dyson Theory, Green'S Functions, Integral Equations, Slabs

Scientific paper

Using the ladder-approximated Bethe-Salpeter equation, the radiative wave equation for a slab of random, densely-distributed small spherical scatterers is constructed. The quasi-crystalline approximation with coherent potential method is used for calculation of the effective propagation constant. The coherence of random scatterers is taken into account. The first and second-order bistatic scattering and transmission coefficients through the slab are obtained by iteration. Constructive interferences due to the boundaries are computed. The radiative wave equation for thermal emission from this slab is solved by a discrete ordinate method. Comparisons with the independent scattering assumption in the conventional radiative transfer equation is discussed.

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