The work considers a layered system, the layers of which consist of transparent and opaque elements. At the places where parts of the transparent elements are opposite each other in all layers, a transparent through window is formed. The work is devoted to the case when transparent and opaque elements are the cells of a Voronoi mosaic. The distributions of windows by area were obtained for different values of parameters – the number of layers, the average size of cells, the part of transparent cells from their total number. It is shown that the numerically obtained distributions for the case under consideration are very well described by the approximation found analytically for a simplified system. The conditions for its applicability are found. The distributions over the area of the entire “transparent through” region in the sample were obtained.

中文翻译：

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具有马赛克层的分层介质中的透明窗口。窗口按区域分布

该作品考虑了一个分层系统，其各层由透明和不透明元素组成。在所有层中透明元件部分彼此相对的地方，形成透明通窗。该作品致力于研究透明和不透明元素是沃罗诺伊马赛克单元的情况。根据不同的参数值获得了窗口的面积分布——层数、细胞的平均大小、透明细胞占总数的比例。结果表明，通过对简化系统分析发现的近似值可以很好地描述所考虑情况的数值分布。找到了其适用的条件。获得了样本中整个“透明通过”区域的面积分布。