Closure hypotheses from the method of smoothing for coherent wave propagation in discrete random media.
A closure hypothesis is required to truncate the hierarchy of equations resulting from the conditional ensemble average of the multiple-scattering equations for coherent wave propagation in discrete random media. In this Letter the method of smoothing is used to construct a systematic sequence of closure hypotheses These include the quasi-crystalline approximation as a special case. The smoothing closure hypotheses include some of the multiple scattering neglected by the quasi-crystalline approximation. They are therefore expected to improve predictions of the attenuation coefficient of the coherent field at intermediate particle concentrations.
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