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Acoustic Bloch Oscillations and Zener Effect in One-Dimensional Sonic Crystals

[+] Author Affiliations
José Sánchez-Dehesa, Hèlios Sanchis-Alepuz

Polytechnic University of Valencia, Valencia, Spain

Paper No. IMECE2007-41851, pp. 1109-1115; 7 pages
doi:10.1115/IMECE2007-41851
From:
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 10: Mechanics of Solids and Structures, Parts A and B
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4304-1 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME

abstract

We report the acoustic analogue of electronic Bloch oscillations and Zener tunneling in sonic crystals. First, an analytic theory of acoustic Bloch oscillations is presented for the simple case of a sound waves propagating along the normal of a multilayer made of any two different solid or fluids materials. The formulation is applied to the case of water cavities surrounded by Plexiglas layers. Transfer matrix calculations confirm the validity of the model by assuming that the longitudinal impinging vibration is perpendicular to the surfaces of the layers. An experimental demonstration of the predictions is performed by using a very simple experimental setup consisting of two transducers and a signal analyzer. While the Bloch oscillations can be used as signal modulator, the Zener effect can be applied as a resonant filter.

Copyright © 2007 by ASME

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