Wave interaction with a random fat fractal: dimension of the reflection coefficient

We study numerically the wave transition through one-dimensional random fat-fractal slabs, which can serve as a model of porous media. It is found that the qualitative behaviour of the scattering data essentially depends on the fractal exponent. In order to characterize the behaviour of the reflection coefficient we introduce its dimension which turns out to be between two and three. We find that the dependence of this dimension versus the fractal exponent is a non-monotonic function.