Journal ArticleDOI
Localization of optics: Quasiperiodic media.
TLDR
An experiment to probe the (quasi)localization of the photon is proposed, in which optical layers are constructed following the Fibonacci sequence, which has scaling with respect to the number of layers, as well as an interesting fluctuation.Abstract:
An experiment to probe the (quasi)localization of the photon is proposed, in which optical layers are constructed following the Fibonacci sequence. The transmission coefficient has a rich structure as a function of the wavelength of light and, in fact, is multifractal. For particular wavelengths for which the resonance condition is satisfied, the light propagation has scaling with respect to the number of layers, as well as an interesting fluctuation.read more
Citations
More filters
Journal ArticleDOI
Heat Kernels and Zeta Functions on Fractals
TL;DR: On fractals, spectral functions such as heat kernels and zeta functions exhibit novel features, very different from their behaviour on regular smooth manifolds, and these can have important physical consequences for both classical and quantum physics in systems having fractal properties as discussed by the authors.
Journal ArticleDOI
Discrete time quasicrystals
TL;DR: In this article, it was shown that systems from the same class can spontaneously reveal quasicrystalline structures in time, in spite of the fact that the driving is periodic.
Journal ArticleDOI
Quasi-periodic distribution of plasmon modes in two-dimensional Fibonacci arrays of metal nanoparticles
TL;DR: Near-field optical microscopy measurements and three dimensional Finite Difference Time Domain simulations demonstrate that near-field coupling of nanoparticle dimers in Fibonacci arrays results in a quasi-periodic lattice of localized nanoparticle plasmons.
Journal ArticleDOI
Correlation between single-cylinder properties and bandgap formation in photonic structures
TL;DR: The origin of frequency gaps in the dispersion relation of periodic, quasi-periodic, and random photonic structures consisting of different arrangements of dielectric cylinders has been investigated and it was found that the formation and properties of gaps are strongly affected by Mie resonances of a single cylinder.
Journal ArticleDOI
Optics of nanostructured dielectrics
Diederik S. Wiersma,Riccardo Sapienza,Sushil Mujumdar,Marcello Colocci,Mher Ghulinyan,Lorenzo Pavesi +5 more
TL;DR: In this paper, the optical transport properties of complex photonic structures ranging from ordered photonic crystals to disordered strongly-scattering materials, with particular focus on the intermediate regime between complete order and disorder, are discussed.