Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 2011 | Supplemental Material
Journal Article Open

Bifurcation-based acoustic switching and rectification


Switches and rectification devices are fundamental componentsused for controlling the flow of energy in numerous applications. Thermal and acoustic rectifiers have been proposed for use in biomedical ultrasound applications thermal computers energy-saving and-harvesting materials and direction-dependent insulating materials. In all these systems the transition between transmission states is smooth with increasing signal amplitudes. This limits their effectiveness as switching and logic devices, and reduces their sensitivity to external conditions as sensors. Here we overcome these limitations by demonstrating a new mechanism for tunable rectification that uses bifurcations and chaos. This mechanism has a sharp transition between states, which can lead to phononic switching and sensing. We present an experimental demonstration of this mechanism, applied in a mechanical energy rectifier operating at variable sonic frequencies. The rectifier is a granular crystal, composed of a statically compressed one-dimensional array of particles in contact, containing a light mass defect near a boundary. As a result of the defect, vibrations at selected frequencies cause bifurcations and a subsequent jump to quasiperiodic and chaotic states with broadband frequency content. We use this combination of frequency filtering and asymmetrically excited bifurcations to obtain rectification ratios greater than 10^4. We envisage this mechanism to enable the design of advanced photonic, thermal and acoustic materials and devices.

Additional Information

© 2011 Macmillan Publishers Limited. Received 12 April 2011. Accepted 15 June 2011. Published online 24 July 2011. We thank M. C. Cross, C. Hannemann, P. G. Kevrekidis, M. A. Porter, A. W. Richards and T. Schneider for useful discussions. We thank V. Gabuchian, M. Mello and S. Job for help in the experiments. We acknowledge support from the National Science Foundation grants number 844540 (CAREER), 969541 and 0520565 (MRSEC). C.D. acknowledges the Office of Naval Research (YIP), and G.T. the A.S. Onassis Public Benefit Foundation through Grant No. RZG 003/2010-2011. Author contributions: N.B. and G.T. developed the system concept. N.B. led the experimental work. G.T. led the theoretical and numerical analysis. C.D. provided guidance and contributed to the design and analysis throughout the project. All authors contributed to the writing and editing of the manuscript.

Attached Files

Supplemental Material - nmat3072-s1.pdf


Files (932.3 kB)
Name Size Download all
932.3 kB Preview Download

Additional details

August 22, 2023
October 24, 2023