By numerical simulation the stability of fractal characteristics in the optical characteristics of aperiodic multilayer systems with metamaterials is investigated. The conditions of pattern formations in the spectral characteristics of the analyzed systems are identified. Particular attention is given to the estimation of transformation form of the reflection spectra of systems with different geometry and taking into account dispersion effects.
42.30.Kq Fourier optics
$^1$ Faculty of Physics, Lomonosov Moscow State University. Moscow 119991, Russia.
$^2$ P.N. Lebedev Physics Institute, Russian Academy of Sciences. Moscow 119991, Russia