Propagation of classical waves in nonperiodic media: Scaling properties of an optical Cantor filter

Wave propagation through a subclass of deterministic nonperiodic media, namely, fractal Cantor multilayer structures are investigated theoretically as well as experimentally. Transmission spectra of Cantor structures are found to have two distinctive properties (scalability and sequential splitting) closely related to the geometrical peculiarities of the multilayers. A systematic correlation between structural self-similarity and spectral regularities of Cantor multilayers is established.