Average intensity of electromagnetic wave field in a layer with chaotic irregularities of dielectric permittivity

Multiple scattering of a plane electromagnetic wave on a layer with random one-dimensional dielectric permittivity irregularities of rectangular shape is investigated. An analytical expression of the intensity of the electromagnetic field is obtained for the individual realization of the random layer for the perturbation width of irregularities distributed by Gauss. The average intensity of the field in the layer is investigated by numerical averaging of the intensities related to individual realization.