Coherent transmission and reflection coefficients of individual monolayers of spherical alumina particles in the wavelength range from 0,3 to 1,0 <$Emu>m and multilayers consisting of a set of such monolayers are computed. Quasi-crystalline approximation of the theory for multiple scattering of waves and the transfer matrix method are used. Three types of coherent transmittance minima inherent to close-packed regular disperse systems are singled out and described. Spectra of a glass plate with one-sided and double-sided coating with alumina particles are analyzed. Systems for creating antireflection coatings, diffuse light scattering structures, selective and nonselective filters of transmitted and reflected light are considered.

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