We calculate the dielectric response of free-standing and supported two-dimensional layers polarizable entities, such as metallic particles or adsorbed molecules. take into account dipole-dipole image interaction investigate effects disorder within a renormalized polarizability theory. The behavior resonances arising from both single particle's substrate's surface plasmon is studied.

We develop a simple theory for the macroscopic dielectric function of system identical spheres embedded in homogeneous matrix within dipolar long-wavelength approximation. obtained relationship similar to Clausius-Mossotti relation, but with renormalized polarizability instead bare polarizability. This obeys second-order algebraic equation and it is given terms polarizability, volume fraction, functional two-particle correlation spheres. calculate optical properties metallic an insulating we...

We discuss the existence of electromagnetic Stark ladder in some optic systems by studying propagation light. The transmission coefficient is calculated means transfer-matrix method. It shown that although transfer matrix different from quantum case it can give, particular configurations, a Stark-ladder resonance structure similar to one observed systems. relation between these resonances and Fabry-Perot-like interference discussed. Consideration given observability ladders laboratory.

The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this Letter we propose an elastic realization these ladders, employing for purpose the torsional vibrations specially designed one-dimensional systems. We measured, first time, ladder wave amplitudes, which are not directly accessible either in quantum-mechanical or cases. amplitudes spatially localized coincide rather well with theoretically predicted amplitudes. rods...

A study of electronic scattering from a nonlinear Schrodinger equation in one-dimensional periodic chain the presence an applied electric field is presented. The properties are measured as function strength cubic term, alpha . stability, shapes and lifetimes Stark ladder resonances, present linear system, studied It found that these quantities significantly modified by nonlinearities, much more so for )0 than (0.

We study the propagation of shear horizontal waves between interface two piezoelectric materials with an electro-mechanical imperfect contact. Mechanical and electrical imperfections are modeled by means a spring capacitor, respectively. The corresponding mathematical expressions for contact given in this article. system differential equations considered half-space is derived associate solutions found. A general expression dispersion relation, not reported previously literature, explicit...

Abstract We study the propagation of shear horizontal waves between interface piezoelectric and piezomagnetic half-spaces with a magneto-electro-mechanical imperfect contact. Mechanical, electrical magnetical imperfections are modelled by means spring, capacitor inductor, respectively. A general expression for dispersion relation not reported previously in literature is given an explicit form, diverse limit cases analysed detail. In some these cases, new expressions also obtained which...

The propagation of shear horizontal waves between the interface two magneto-electro-elastic materials with an magneto-electro-mechanical imperfect contact has been studied. Mechanical, electrical and magnetical imperfections are modelled by means a spring, capacitor inductor, respectively. A general expression for dispersion relation is given in explicit form. Some limit cases analysed detail. influence contacts shown some numerical results.

The formation and evolution of spin wave band gaps in the transmission spectrum a magnonic crystal have been studied. A time space resolved magneto inductive probing system has used to map propagation geometrically structured yttrium iron garnet film. Experiments carried out using (1) chemically etched supporting magnetostatic surface waves, (2) short microwave pulsed excitation (3) direct detection movable probe connected synchronized fast oscilloscope. results show that periodic structure...

We study, both experimentally and numerically, the Anderson localization phenomenon in torsional waves of a disordered elastic rod, which consists cylinder with randomly spaced notches. find that normal-mode wave amplitudes are exponentially localized as occurs solids. The length is measured using these it shown to decrease function frequency. spectrum also well computed, so its level statistics can be analyzed. Fitting nearest-neighbor spacing distribution repulsion parameter defined varies...

We formulate a diagrammatic approach for the calculation of macroscopic dielectric response collection spheres at random positions and embedded in homogeneous medium. Through infinite summations specific classes diagrams, we derive some known results also obtain extensions to recent theory renormalization polarizability Maxwell Garnett scheme.

The electronic energy spectrum of a one-dimensional chain with periodic and disordered potentials in the presence constant electric field F is studied. Under certain conditions shows resonant states predicted by Wannier. These Stark-ladder resonances (SLR) are studied detail for different potentials, amount disorder, W, length chains, L. Thermal population effects on also considered. correspond to rectangles random widths heights, that include extreme \ensuremath{\delta}-function limit....

In the present article, using asymptotic homogenization method (AHM), derivation of plane effective properties for three-phase magneto-electro elastic fiber unidirectional reinforced composite with hexagonal and square cell symmetry is reported. Closed form analytical expressions universal relations coefficients are given. Matrix inclusion materials belong to class 6mm [1] (the number independent components five elastic, three piezoelectric, two dielectric, piezomagnetic, magnetic)....

The dispersion relations of surface SH waves in an A/B/A heterostructure with magnetoelectroelastic properties and imperfect (electromagnetically permeable or absorbent, mechanically spring-type) bonding at the interfaces are obtained taking geometric symmetry system into account.Consequently, results for symmetric antisymmetric modes presented.Different limit cases considered.Numerical calculations relevant realizations investigated different values material parameter describing assumed...

The doorway state phenomenon has been recently analysed in many different systems, both quantum and classical. systems range from nuclei to sedimentary valleys, therefore covering a size of 19 orders magnitude. It also applies with chaotic spectra as well integrable systems. In all these works, the discussed only energy or frequency domains. this letter we present numerical experimental results for quasi–one-dimensional elastic system which presents and, first time, temporal evolution is...

A fibrous elastic composite is considered with transversely isotropic constituents. Three types of fibers are studied: circular, square, and rhombic. Fibers distributed the same periodicity along two perpendicular directions to fiber orientation, that is, periodic cell square. The exhibits imperfect contact at interface between matrix. Effective properties this calculated by means a semi‐analytic method, differential equations described local problems obtained asymptotic homogenization...

The theory of shear horizontal wave scattering processes in layered piezoelectric composites is discussed terms a recursive system equations involving the impedance. Piezoelectric materials hexagonal 6 mm symmetry are considered. behavior an incident analyzed as function material properties, layer thicknesses, and frequency (ω). By appropriate choice frequencies at which almost all energy transmitted can be found, optimizing properties for ultrasound transducers. This also dependent on...

An electron in a disordered potential the presence of constant electric field is studied one dimension. Using different criteria from scattering theory we find that there are Stark-ladder-like resonances electronic spectrum. A detailed analysis statistical properties these and their connection to resistance as function disorder strength given. The possibility seeing ultranarrow wires suggested.

Surface and shear horizontal waves in piezoelectric composite media consisting of layers hexagonal $6mm$ symmetry are studied. We consider finite infinite systems. For the case we study ``periodic'' two types nonperiodic structures: Fibonacci sequences systems with a linear perturbation parameters which give rise to resonances Stark-Ladder type. only periodic The transmission, dispersion relation, angular eigenmodes vibration composites analyzed. discuss detail effect surface on these...