Hyperuniformity in non-periodical media for the control of waves

Hyperuniformity is a property of certain heterogenous media in which density fluctuations in the long wavelength range decay to zero. In reciprocal space this behavior translates into a decay of Fourier in- tensities in the range near small wavenumbers. In this paper quasiperiodic tilings constructed by word concatenation are under study. A lattice is generated from a parameter given by its continued fraction. Numerical simulations of such kind of media shows a quite regular quadratic decay of Fourier intensities.