Reflection And Transmission Properties Of Self-Similar Interfaces

We represent an interface by a self-similar singularity, embedded between two homogeneous half-spaces and<br>we evaluate its frequency-dependent normal incidence reflection and transmission coefficients. For ƒ → () the<br>expressions for the coefficients reduce to those for a discrete boundary between two homogeneous half-spaces;<br>for ƒ → the effect of the embedding half-spaces vanishes. These asymptotic expressions have a relatively<br>simple form and depend on the singularity exponent .