In this paper, we explore the linear response of one dimensionalquasiperiodic structure based on Fibonacci sequence composed of silicon dioxide,polystyrene and graphene materials. Here, a graphene monolayer is sandwichedbetween two adjacent layers. The numerical results are obtained by using the standardtransfer matrix method. Due to the presence of graphene sheet in eac...

– We report on experimental observation of photonic stop bands in two-dimensional metallic Penrose lattice. We investigated the defect characteristics, and observed strongly localized cavity modes below the plasma frequency. The absence of the translational symmetry allowed to change the defect frequencies and localization properties of the defect modes. Propagation of photons along highly loca...

We describe the formation of spatial structures generated by diffusive instabilities in bistable systems. The coupling between the different spatial modes emanating from the two homogeneous steady states can then give rise to self-parametric instabilities favoring the occurrence of resonant rhombic or quasiperiodic structures such as superlattices or quasicrystalline patterns.

: In this work, we report the experimental results and theoretical analysis of strong localization of resonance transmission modes generated by hybrid periodic/quasiperiodic heterostructures (HHs) based on porous silicon. The HHs are formed by stacking a quasiperiodic Fibonacci (FN) substructure between two distributed Bragg reflectors (DBRs). FN substructure defines the number of strong locali...

The structural study of grain boundaries is central to a better understanding of many physical properties of polycrystalline materials. In recent years, there has been remarkable progress in research on the atomic structure of grain boundaries, with the publication of theoretical and experimental structures of many grain boundaries [l-,5] and comprehensive reviews [6,7]. The availability of int...

Weakly and strongly quasiperiodic morphisms are tools introduced to study quasiperiodic words. Formally they map respectively at least one or any non-quasiperiodic word to a quasiperiodic word. Considering them both on finite and infinite words, we get four families of morphisms between which we study relations. We provide algorithms to decide whether a morphism is strongly quasiperiodic on fin...

The optical properties of quasiperiodic structures such as Fibonacci, Thu-Morse, and Cantor sequences containing graphene-based hyperbolic metamaterial have been investigated using the transfer matrix method effective medium theory at THz region. metamaterials were considered a homogeneous anisotropic with their axis tilted respect to interface layers. It is shown that these may some band gaps ...