We study the properties of electromagnetic waves propagating along the waveguides with a periodic core created by alternating metal and dielectric layers, the so-called quasi-one-dimensional plasmonic crystal waveguides. Such waveguides can be symmetric or asymmetric, depending on the cladding or substrate material properties, as well as on the termination of the periodic structure. We analyze ...

3-D nonlinear electrostatic plasma wave is periodic along its longitudinal direction. By strictly analyzing a universal equation set of charged particles system, we find that such a longitudinal periodicity has a severe constraint on the transverse shape of a 3-D electrostatic structure. Only few allowed transverse shapes could warrant the longitudinal periodicity. This longitudinal periodicity...

Combination of forms of W 0 3 , Periodic Bond Chain (PBC) Vector Method, Crystallographic Shear (CS) Structures By using the Periodic Bond Chain Vector method a newly prepared combination of forms of highly stoichiometric W 0 3 is discussed. Through the consideration of the features of the structure it can be explained, why the observed faces are built. From characteristics of the structure an ...

Reliable estimation of speech fundamental frequency is crucial in the perspective of speech separation. We show that the gross errors on F0 measurement occur for particular configurations of the periodic structure to be estimated and the other periodic structure used to achieve this estimation. The error families are characterized by a set of two positive integers. The Alternate Comb method use...

A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction patterns are calculated analytically both using “cut and project” and “average unit cell” methods, taking advantage of the physical space properties of the str...

The Laplace operator is considered for waveguides perturbed by a periodic structure consisting of N congruent obstacles spanning the waveguide. Neumann boundary conditions are imposed on the periodic structure, and either Neumann or Dirichlet conditions on the guide walls. It is proven that there are at least N (resp. N−1) trapped modes in the Neumann case (resp. Dirichlet case) under fairly ge...

The strength of entanglement present in a tubular structure consisting of short vortex flow filaments is assessed using a periodic boundary condition (PBC) model by employing the magnitude of the eigenvalues of the periodic linking matrix associated to the filamental structure. The effects of tube radius and of the alignment of the filaments on the strength of entanglement are shown to suggest ...

Let f : M → M be an expansive homeomorphism with dense topologically hyperbolic periodic points, M a compact manifold. Then there is a local product structure in an open and dense subset of M . Moreover, if some topologically hyperbolic periodic point has codimension one, then this local product structure is uniform. In particular, we conclude that the homeomorphism is conjugated to a linear An...

In this paper the radiation property of the one-dimensional periodic leaky-wave structure is analysed using a new hybrid method, which involves the mode expansion method for expanding the periodic aperture field in terms of spatial harmonics and the method of effective radiation sections for transforming the expanded fields into far fields. Using this method, the radiation of each spatial harmo...