Abstract

One of the aspects of light scattering in a heterogeneous medium with a high concentration of scatterers (randomly located spherical particles) is considered. An approach is proposed, where the influence of such parameters as an average distance between particles and the wavelength of incident radiation on the scattering process is described within the framework of a model of randomly overlapping spheres. This approach explains the existence of a maximum of the radiation scattering for some concentrations of scattering centers, which was observed in a number of experimental works, through the occurrence of a geometrical (percolation) phase transition in the system. The position of the scattering maximum corresponds to a percolation threshold for the aforementioned model. A critical exponent describing the intensity of scattered radiation in the vicinity of the threshold concentration is found. The application of the proposed approach for optimization of heat-insulating properties of a composite coating “glass spheres-paint” is discussed.

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