Resonant tunneling of acoustic waves through a double barrier consisting of two phononic crystalsF. Van Der Biest1, A. Sukhovich2, A. Tourin1, J. H. Page2, B. A. van Tiggelen3, Z. Liu4 and M. Fink1
1 Laboratoire Ondes et Acoustique, ESPCI, Université Paris VII, UMR 7587 10 rue Vauquelin, 75005 Paris, France
2 Ultrasonics Research Laboratory, Department of Physics and Astronomy University of Manitoba - Winnipeg MB Canada R3T 2N2
3 Laboratoire de Physique et Modélisation des Systèmes Condensés, CNRS Université Joseph Fourier, Maison de Magistères B.P. 166, 38042 Grenoble Cedex 9, France
4 Department of Physics, Wuhan University - Wuhan, 430072 PRC
received 7 March 2005; accepted in final form 20 April 2005
published online 27 May 2005
We present the acoustic analog of resonant tunneling through a double barrier in quantum mechanics. Pairs of identical phononic crystals, in both 2D and 3D, were assembled and separated by a uniform spacer, forming a resonant cavity. The ultrasonic transmission exhibits resonant peaks at frequencies inside the band gaps, where ultrasound tunneling through each phononic crystal occurs. On resonance, the measured group time is large and even predicted to increase exponentially with the thickness of the crystals in the absence of absorption, while off resonance very fast speeds are found.
43.35.+d - Ultrasonics, quantum acoustics, and physical effects of sound.
03.65.Xp - Tunneling, traversal time, quantum Zeno dynamics.
43.20.Fn - Scattering of acoustic waves.
© EDP Sciences 2005