Reflection from fractal multilayers.

The reflection and transmission properties of finely divided fractal layers are investigated and characterized. The results for electromagnetic or optical waves normally incident upon Cantor bar fractal layers are found for different stages of fractal growth. We develop a new exact self-similar algorithm that makes use of the self-similarity of these structures. This fractal computational scheme provides the reflection and transmission coefficients for hundreds or thousands, or more, of fractally distributed layers with extreme economy when compared with traditional approaches.