We investigate the reflection coefficient of a fractal layer in the small-wavelength limit. Taking the layer structure simulated by a devil’s staircase on the Cantor support as an example, we find numerically that the decay of the reflection coefficient with the wave number can be approximated by a power law. We explain this phenomenon analytically based on the two-scale method.

• Received 8 June 1992

DOI:https://doi.org/10.1103/PhysRevE.48.4044