Coherent scalar field in pair-correlated random distributions of aligned scatterers

Abstract

Dispersion equations for coherent propagation of scalar waves in random distributions of pair‐correlated obstacles (aligned or averaged over alignment), are obtained by averaging the functional equations relating the multiple and single scattered amplitudes of the obstacles. The resulting bulk indices of refraction and bulk parameters, for aligned nonradially symmetric scatterers, specify anisotropic media; the anisotropy arises either from the scatterers’ properties (physical parameters or shape, or both) or from their distribution, or from both. The illustrations include both isotropic and anisotropic cases (in one to three dimensions), and the explicit results generalize earlier ones.