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...

Abstract In this work, we obtain closed expressions for the transfer matrix and transmittance of electromagnetic waves propagating in finite one-dimensional anisotropic periodic stratified media with an arbitrary number cells. By invoking Cayley–Hamilton theorem on field a formed by N cells, fourth-order recursive relation coefficients that defines so-called Tetranacci polynomials (TPs). symmetric case, corresponding to unit-cell characteristic polynomial where linear cubic terms are equal,...

The flexural vibrations of a locally periodic rod, which consists N unit cells, are discussed both from the experimental and theoretical points view. Timoshenko’s beam theory transfer matrix method used to calculate normal-mode frequencies amplitudes. values then compared with ones, obtained using an electromagnetic acoustic transducer (EMAT). Good agreement between numerical results measurements is obtained. It shown that as grows, band spectrum emerges.

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...

Three classical systems formed by the pairs of coupled resonators are analyzed, including a system elastically masses, rigid rods separated notch, and an optical made pair dielectric films thin metallic layer. We show numerically that these analogous to each other. For latter two systems, theoretical results confirmed experimentally. This study allows us discuss in properties typically only described quantum mechanically, such as avoided crossing theorem, strength function phenomenon, effect...

Two elastic systems are considered in this work: A special linear chain of harmonic oscillators and a quasi one-dimensional vibrating rod. Starting both cases with locally periodic system formed by unit cells single element, these converted into binary cells. The acoustic optical bands then appear. For the rod experimental values compared theoretical results; particular, normal-mode amplitudes obtained agreement is excellent.

The doorway-state phenomenon has been observed in many quantum and classical undulatory systems when two oscillating are coupled, one that a high level density the other very low density. Up to now analysed have common they governed by second-order differential equations. In present work it is shown doorway state mechanism also appears dealing with flexural vibrations of elastic systems, which fourth-order It should be mentioned this emerges from coupled Navier

We numerically investigate the optical transmission through a compound spherical stack with conventional and metamaterial (MM) layers also embedded MM defect. A formation of extremely narrow resonant peak nearly complete transmittance in area band gap is found. demonstrate that photon fields certain frequencies can be strongly confined by left-handed (LH) The influence random deviation width as well transit to whispering gallery mode (WGM) discussed.

The phenomenon of the Anderson localization waves in elastic systems is studied.We analyze this two dierent sets systems: disordered linear chains harmonic oscillators and rods which oscillate with torsional waves.The rst set analyzed numerically whereas second one studied both experimentally theoretically.In particular, we discuss properties as a function frequency.In doing that have used inverse participation ratio, related to length.We nd normal modes localize exponentially according...

In this work, we obtain closed expressions for the transfer matrix and transmittance of electromagnetic waves propagating in finite 1D anisotropic periodic stratified media with an arbitrary number cells. By invoking Cayley-Hamilton theorem on field a formed by N cells, fourth-degree recursive relation coefficients that defines so-called Tetranacci Polynomials. symmetric case, corresponding to unit-cell characteristic polynomial where linear cubic terms are equal, solutions relation, known...

In a previous work an elastic bar with groove or notch that presents doorway state was studied when the system excited 20 cycles of harmonic signals. The strength function had Lorentzian width Γd = 1/πτd, where τd is decay time prompt response. present paper, doorway-state phenomenon analyzed again for same signals but very large number cycles. strength-function once more obtained, now Γ′ which larger than Γd. A qualitative and numerical explanation this fact given, leading therefore to...

Abstract We report on the observation of Wannier-Stark ladders in bending vibrations elastic beams. By introducing a gradient length distribution N weakly coupled beams, equivalent ladder is obtained system governed by two second-degree differential equations, instead common wave equation, and whose oscillations are also dispersive and, above certain critical frequency, occur with wavelengths. have measured for first time, not only spectrum ladders, but amplitudes this type system, which...

Using one dimensional rods with different configurations classical analogs of quantum mechanical systems frequently used in solid state physics can be obtained. Among this we have recently discussed locally periodic which lead to band spectra; the effect a topological defect, and Wannier Stark ladders. In paper, present an elastic analog diatomic chain show how acoustical optical bands emerge, as well nature wave amplitudes.

The electromagnetic radiation of nanoemitters placed into a multilayered microsphere with dispersive left-handed (LH) layers included is studied numerically. It found that in the frequency range where LH have negative refraction index field spectrum consists series narrow and well separated resonances. In band such peaks, great part energy located layer practically does not leave microsphere.

Locally periodic rods, which show approximate invariance with respect to translations, are constructed by joining $N$ unit cells. The spectrum then shows a band spectrum. We break the local periodicity including one or more defects in system. When follow certain definite prescription, an analog of Wannier-Stark ladders is gotten; when random, elastic rod showing Anderson localization obtained. In all cases experimental values match theoretical predictions.

We study the frequency spectrum of nanoemitters placed in a microsphere with quasiperiodic subwavelength spherical stack. The spectral evolution transmittancy at change thickness two‐layer blocks, constructed following Fibonacci sequence, is investigated. When number layers (Fibonacci order) increases, structure acquires fractal form. Our calculations show radiation confinement and gigantic field enhancement, when ratio layers’ widths twolayer blocks stack close to golden mean value.