An approximate calculation of the permittivity of aerogels as fractal-like objects

An approximate calculation of the permittivity of a physical fractal (like aerogel of silica, which has a porosity of up to 99%) is performed, based on a self-similar model suggested by the Sierpinski gasket construction. It is shown that in some cases the polarizability of the units forming the homogeneous macrostructure tends to have a mathematical fractal behavior. The Sierpinski gasket and the first and succeeding stages of the model are described.<
>