Diffraction of fractal light by simple apertures

Berry’s seminal work from over three decades ago [J. Phys. A 12, 781 (1979)] established that plane waves scattering from complex objects (e.g., a transparent mask with a random fractal phase modulation) may acquire fractal characteristics in their statistics. Here, we consider the diametrically-opposing paradigm for optical complexity: the diffraction of a fractal wave from a simple object. Surprisingly, this rich and potentially highly fertile research ground has received almost no attention in the literature to date.