Improved eddy current driver-detector for elastic vibrations

Morales, A.; Gutiérrez, L.; Flores, J.

doi:10.1119/1.1336834

Cited by 30 publications

(28 citation statements)

References 4 publications

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“…To measure normal modes frequencies and amplitudes we have used an Electromagnetic Acoustic Transducer (EMAT) which has been recently developed [Morales et al 2001;2002]. This EMAT is versatile and operates at low frequencies.…”

Section: The Physical Systemmentioning

confidence: 99%

Elastic Wannier–Stark ladders in torsional waves

Monsiváis

Méndez‐Sánchez

Anda

et al. 2007

JOMMS

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We study the normal modes of torsional waves in an elastic beam consisting of a set of N cuboids of varying heights. We present experimental, theoretical, and numerical results. We show that some analogies to the Wannier-Stark ladders resonances, originally introduced by Wannier in 1962, are exhibited by this classical system. The original ladders studied by Wannier consist of a series of equidistant energy levels for the electrons in a crystal in the presence of a static external electric field with the nearestneighbor level spacing proportional to the intensity of the external field. For the case of torsional waves in the beam we have observed a similar behavior, namely, the vibrations of the beam show resonances of equidistant frequencies with the nearest-neighbor spacing proportional to parameter γ associated with the geometry of the beam analogously to the electric field. However, this analogy is not perfect; we address the origin of the differences.

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Section: The Physical Systemmentioning

confidence: 99%

Elastic Wannier–Stark ladders in torsional waves

Monsiváis

Méndez‐Sánchez

Anda

et al. 2007

JOMMS

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“…We use an electromagnetic acoustic transducer (EMAT) which is very versatile and operates at low frequencies. This EMAT, which we have recently developed [21], can selectively excite or detect compressional, torsional or flexural vibrations. In the inset of Fig.…”

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confidence: 99%

Wannier-Stark Ladders in One-Dimensional Elastic Systems

et al. 2006

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The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of specially designed one-dimensional elastic systems. We have measured, for the first time, the ladder wave amplitudes, which are not directly accessible either in the quantum mechanical or optical cases. The wave amplitudes are spatially localized and coincide rather well with theoretically predicted amplitudes. The rods we analyze can be used to localize different frequencies in different parts of the elastic systems and viceversa. PACS numbers: 43.35.+d,63.20.Pw,43.40.Cw Recently, undulatory systems showing analogues of Bloch oscillations and Wannier-Stark ladders (WSL) attracted increasing attention in several fields of physics [1,2,3,4,5]. As shown by Bloch, electrons in a periodic potential have extended solutions. The same is true for the behavior of an electron under the action of a static electric field. In contrast, and opposite to intuition, when both the periodic potential and the electric field are present, the solutions are localized; this is only true when band to band Zener tunneling is negligible or the system is short enough. The spectrum then shows equally spaced resonances known as Wannier-Stark ladders, the nearest-neighbor level spacing being proportional to the intensity of the external field [6]. In the time domain, the Wannier-Stark ladders yield the so called Bloch oscillations which consist in a counterintuitive effect where the electrons show an * Permanent address:

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“…As we will see below, to excite and detect the vibrations, two electromagnetic-acoustic transducers (EMATs) are used [1,3,7]. The key equipment of the experimental setup of figure 3 is the vector network analyzer (VNA).…”

Section: Experimental Measurement Of Resonances In Rodsmentioning

confidence: 99%

“…The EMATs can be built easily with coils and permanent magnets; changing the orientation of the coil and the magnet, with respect to the rod axis, different kinds of waves can be selectively excited or detected [1]. The EMATs are also invertible, i.e., they can be used as exciters or detectors.…”

Section: Experimental Measurement Of Resonances In Rodsmentioning

confidence: 99%

Acoustic resonance spectroscopy for the advanced undergraduate laboratory

Franco-Villafañe¹,

Flores-Olmedo²,

Báez³

et al. 2012

Eur. J. Phys.

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Abstract.We present a simple experiment that allows advanced undergraduates to learn the principles and applications of spectroscopy. The technique, known as acoustic resonance spectroscopy, is applied to study a vibrating rod. The setup includes electromagnetic-acoustic transducers, an audio amplifier and a vector network analyzer. Typical results of compressional, torsional and bending waves are analyzed and compared with analytical results.

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Improved eddy current driver-detector for elastic vibrations

Cited by 30 publications

References 4 publications

Elastic Wannier–Stark ladders in torsional waves

Elastic Wannier–Stark ladders in torsional waves

Wannier-Stark Ladders in One-Dimensional Elastic Systems

Acoustic resonance spectroscopy for the advanced undergraduate laboratory

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