Multiple reflections inside a fractal medium based thin film

Abstract

We examine the optical behavior of a fractal medium based thin film by analyzing its normal reflectivity. The optical system we use in our calculation is a simple air/thin film/glass system, where the thin films are made of fractal air or fractal glass. We demonstrate that introducing fractality to a thin film varies the zero-reflectivity-refractive-index and extremes in the reflectivity as a function of thickness. These observations indicate multiple reflections in fractal medium based thin films. For integer medium based thin films, multiple reflection is possible only if the film's refractive index is not equal to the refractive index of either incident region or transmission region. Fractal medium based thin films produce multiple reflections even if their refractive index is equal to the refractive index of the incident region or of the transmission region.