The model of addition for the coherent component in a concentrated layer of discrete scatterers

Propagation of the coherent component of a light wave through a layer of di screte scatterers is considered. A system of equations for coherent reflect ion and transmission of a layer of scatterers is written with allowance mad e for multiple scattering of a coherent wave, inside the scattering layer. As the radiation wavelength tends to infinity, the system transforms to a s ystem of Gurevich equations for the incoherent component. Its analytical so lution is found, which makes it possible to describe the behavior of the co herent component for a wide range of dimensions of scatterers: from Bouguer 's law for large scatterers to Airy's formulas for small scatterers when th e layer is adequately simulated by a plane parallel plate. A simple present ation of constants of the system of equations mentioned based on familiar f ormulas for a monolayer of particles in the approximation of independent sc atterers and its modification for a better description of systems with corr elations in the location of scatterers are proposed. A comparison of the re sults obtained with experimental data known from the literature demonstrate d a considerable improvement of the calculation accuracy in comparison with the approximation of independent scatterers, whereas calculation simplicit y of the approximation is retained.