Formation of "windows" of transparency in a layered sample with an inhomogeneous distribution of inclusions in the layers. General case

In this work, we studied the formation of transparency "windows" in a layered sample, the layers of which consist of an opaque material with transparent inclusions. The case when islands of a transparent material are distributed inhomogeneously in a layer is considered. The distribution densities of the "windows" over the area were obtained for inhomogeneities of various types and different values of the "thickening" of the islands to the center or edge of the layer. The general case of many layers and islands in a layer is investigated.